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Journal articles on the topic 'Dimensional quantum system'

Author: Grafiati

Published: 28 May 2022

Last updated: 31 July 2025

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1

Wang, Hefeng, and Sabre Kais. "Quantum teleportation in one-dimensional quantum dots system." Chemical Physics Letters 421, no. 4-6 (2006): 338–42. http://dx.doi.org/10.1016/j.cplett.2006.01.093.

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2

GARCÍA, MARCOS A. G., and ALEXANDER V. TURBINER. "THE QUANTUM H3 INTEGRABLE SYSTEM." International Journal of Modern Physics A 25, no. 30 (2010): 5567–94. http://dx.doi.org/10.1142/s0217751x10050597.

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The quantum H3 integrable system is a three-dimensional system with rational potential related to the noncrystallographic root system H3. It is shown that the gauge-rotated H3 Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group H3, is in algebraic form: it has polynomial coefficients in front of derivatives. The Hamiltonian has infinitely-many finite-dimensional invariant subspaces in polynomials, they form the infinite flag with the characteristic vector [Formula: see text]. One among possible integrals is found (of the second order) as we

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3

Shao, Shuanglin, Chi-Kun Lin, and Jin-Cheng Jiang. "On one dimensional quantum Zakharov system." Discrete and Continuous Dynamical Systems 36, no. 10 (2016): 5445–75. http://dx.doi.org/10.3934/dcds.2016040.

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4

RANGAN, C. "THE TRAPPED-ION QUBIT: COHERENT CONTROL IN INFINITE-DIMENSIONAL QUANTUM SYSTEMS." Modern Physics Letters A 24, no. 32 (2009): 2565–78. http://dx.doi.org/10.1142/s0217732309032022.

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Theories of quantum control have, until recently, made the assumption that the Hilbert space of a quantum system can be truncated to finite dimensions. Such truncations, which can be achieved for most quantum systems via bandwidth restrictions, have enabled the development of a rich variety of quantum control and optimal control schemes. Recent studies in quantum information processing have addressed the control of infinite-dimensional quantum systems such as the quantum states of a trapped-ion. Controllability in an infinite-dimensional quantum system is hard to prove with conventional method

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5

Huang, Zhiming, Dongwu Wu, Tianqing Wang, Yungang Bian, and Wei Zhang. "Steering entropic uncertainty of qutrit system." Modern Physics Letters A 35, no. 16 (2020): 2050127. http://dx.doi.org/10.1142/s0217732320501278.

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High-dimensional quantum system plays an important role in quantum information tasks. However, the interaction between quantum system and environment would give rise to decoherence. In this paper, we examine the quantum-memory-assisted entropic uncertainty relation under amplitude damping (AD) decoherence. It is found that entropic uncertainty first inflates and then reduces to a nonzero value with the growing decoherence strength. In addition, it is revealed that the mixedness is not closely associated with entropic uncertainty which is different from the previous result. Furthermore, we cons

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6

Zhang, Yongmei, Junjie Xiao, and Dongsheng Hu. "Quantum Walk of Two Quantum Particles on One Dimensional System." Journal of Quantum Information Science 03, no. 04 (2013): 138–42. http://dx.doi.org/10.4236/jqis.2013.34018.

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7

Yeon, Kyu Hwang. "Three-dimensional Quantum System Constrained within a One Dimensional Curve." New Physics: Sae Mulli 62, no. 1 (2012): 19. http://dx.doi.org/10.3938/npsm.62.19.

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8

Shon, Nguyen Hong, and Tsuneya Ando. "Quantum Transport in Two-Dimensional Graphite System." Journal of the Physical Society of Japan 67, no. 7 (1998): 2421–29. http://dx.doi.org/10.1143/jpsj.67.2421.

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9

Yang, Ciann-Dong, and Chia-Hung Wei. "Strong chaos in one-dimensional quantum system." Chaos, Solitons & Fractals 37, no. 4 (2008): 988–1001. http://dx.doi.org/10.1016/j.chaos.2008.01.017.

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10

KVON, Z. D., E. B. OLSHANETSKY, D. A. KOZLOV, N. N. MIKHAILOV, and S. A. DVORETSKII. "A NEW TWO-DIMENSIONAL ELECTRON-HOLE SYSTEM." International Journal of Modern Physics B 23, no. 12n13 (2009): 2888–92. http://dx.doi.org/10.1142/s0217979209062499.

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A two-dimensional electron-hole system consisting of light high-mobility electrons with a density of Ns = (4 - 7) × 1010 cm -2 and heavier lower-mobility holes with a density Ps = (0.7 - 1.6) × 1011 cm -2 has been discovered in a quantum well based on mercury telluride with the (013) surface orientation. The system exhibits a number of specific magnetotransport properties in both the classical magnetotransport (positive magnetoresistance and sign-variable Hall effect) and the quantum Hall effect regime. These properties are associated with the coexistence of two-dimensional electrons and holes

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11

YAN, MU-LIN, and BAO-HENG ZHAO. "QUANTUM INTEGRABLE SYSTEM WITH MULTI-COMPONENTS IN TWO DIMENSIONS." Modern Physics Letters B 16, no. 23n24 (2002): 871–83. http://dx.doi.org/10.1142/s021798490200441x.

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A quantum N-body problem with 2-component in (2 + 1) dimensions deduced from an integrable model in (2 + 1) dimensions is investigated. The Davey–Stewartson 1 (DS1) system9 is an integrable model in two dimensions. A quantum DS1 system with 2 color components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional many-body problems with 2 color components. The solutions of the two-dimensional problem under consideration has been constructed from the resulting problems in one dimension. For the latter with δ-function interactions and being so

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12

Hutchinson, J., J. P. Keating, and F. Mezzadri. "On Relations between One-Dimensional Quantum and Two-Dimensional Classical Spin Systems." Advances in Mathematical Physics 2015 (2015): 1–18. http://dx.doi.org/10.1155/2015/652026.

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We exploit mappings between quantum and classical systems in order to obtain a class of two-dimensional classical systems characterised by long-range interactions and with critical properties equivalent to those of the class of one-dimensional quantum systems treated by the authors in a previous publication. In particular, we use three approaches: the Trotter-Suzuki mapping, the method of coherent states, and a calculation based on commuting the quantum Hamiltonian with the transfer matrix of a classical system. This enables us to establish universality of certain critical phenomena by extensi

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13

D’Errico, Chiara, and Marco G. Tarallo. "One-Dimensional Disordered Bosonic Systems." Atoms 9, no. 4 (2021): 112. http://dx.doi.org/10.3390/atoms9040112.

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Disorder is everywhere in nature and it has a fundamental impact on the behavior of many quantum systems. The presence of a small amount of disorder, in fact, can dramatically change the coherence and transport properties of a system. Despite the growing interest in this topic, a complete understanding of the issue is still missing. An open question, for example, is the description of the interplay of disorder and interactions, which has been predicted to give rise to exotic states of matter such as quantum glasses or many-body localization. In this review, we will present an overview of exper

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14

Song, Xu-Dong, Shi-Hai Dong, and Yu Zhang. "Quantum information entropy for one-dimensional system undergoing quantum phase transition." Chinese Physics B 25, no. 5 (2016): 050302. http://dx.doi.org/10.1088/1674-1056/25/5/050302.

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15

Li, Sheng Hao, Xiao Bing Wu, Chong Fu Huang, and Hong Lei Wang. "Bifurcation Research Two-Dimensional XYX Quantum Model Based on Fidelity." Applied Mechanics and Materials 543-547 (March 2014): 1764–68. http://dx.doi.org/10.4028/www.scientific.net/amm.543-547.1764.

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For two-dimensional XYX quantum model, iPEPS algorithm can select randomly initial state evolution, and get two degenerate symmetric broken ground state wave functions. In the quantum model, not only bifurcation behavior of ground state fidelity can be used, but bifurcation behavior of reduced density matrix fidelity can also be used to determine the phase transition point and its type caused by spontaneous broken symmetry of quantum of the system. Therefore, spontaneous symmetry breaking based on fidelity bifurcation can determine quantum phase transition one quantum system had gone through.

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16

Chen, J. X., and M. S. Ying. "Ancilla-assisted discrimination of quantum gates." Quantum Information and Computation 10, no. 1&2 (2010): 160–77. http://dx.doi.org/10.26421/qic10.1-2-12.

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The intrinsic idea of superdense coding is to find as many gates as possible such that they can be perfectly discriminated. In this paper, we consider a basic scheme of discrimination of quantum gates, called ancilla-assisted discrimination, in which a set of quantum gates on a d-dimensional system are perfectly discriminated with assistance from an r-dimensional ancilla system. The main contribution of the present paper is two-fold: (1) The number of quantum gates that can be discriminated in this scheme is evaluated. We prove that any rd+1 quantum gates cannot be perfectly discriminated with

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17

Pan, Xingbo, Xiubo Chen, Gang Xu, Zongpeng Li, and Yixian Yang. "High dimensional quantum network coding based on prediction mechanism over the butterfly network." Quantum Science and Technology 7, no. 1 (2021): 015006. http://dx.doi.org/10.1088/2058-9565/ac3387.

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Abstract The high-dimensional quantum system greatly improve the quantum channel capacity and information storage space, and achieve high-dimensional quantum information transmission, which enhance the speed of quantum computing and quantum information processing. In this paper, a high-dimensional quantum teleportation protocol without information loss is proposed. We consider pre-sharing a high-dimensional non-maximum entangled state as a quantum channel between sender and receiver. By adding auxiliary particle and performing high-dimensional local operations, it is possible to achieve high-d

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18

Nie, J., H. C. Fu, and X. X. Yi. "Quantum universality by state distillationIndirect quantum control for finite-dimensional coupled systems." Quantum Information and Computation 10, no. 1&2 (2010): 87–96. http://dx.doi.org/10.26421/qic10.1-2-7.

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We present a new analysis on the quantum control for a quantum system coupled to a quantum probe. This analysis is based on the coherent control for the quantum system and a hypothesis that the probe can be prepared in specified initial states. The results show that a quantum system can be manipulated by probe state-dependent coherent control. In this sense, the present analysis provides a new control scheme which combines the coherent control and state preparation technology.

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19

Heydari, Hoshang. "Quantum Gate Entangler and Entangling Capacity of a General Multipartite Quantum System." Open Systems & Information Dynamics 15, no. 03 (2008): 213–22. http://dx.doi.org/10.1142/s1230161208000171.

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We construct quantum gate entangler for general multipartite states based on the construction of complex projective varieties. We also discuss in detail the construction of quantum gate entangler for higher dimensional bipartite and multipartite quantum systems. Moreover, we construct and discuss entangling capacity of general multipartite quantum systems.

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20

Lu, Jun, and Xue Mei Wang. "Quantum Spectra and Classical Orbits in Nano-Microstructure." Advanced Materials Research 160-162 (November 2010): 625–29. http://dx.doi.org/10.4028/www.scientific.net/amr.160-162.625.

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A kind of new classical-quantum correspondence principle is proposed using the idea of closed-orbit theory. The quantum spectrum function is introduced by means of the eigenvalues and the eigenfunctions in the system of one-dimensional nano-microstructure. The Fourier transformation of the quantum spectrum function is found corresponding with the classical orbits in the system. These results give new evidence about the classical-quantum correspondence. All the methods and results can be used in a lot of other systems, including some two-dimensional and three-dimensional systems. The researches

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21

Saha, Amit, Sudhindu Bikash Mandal, Debasri Saha, and Amlan Chakrabarti. "One-Dimensional Lazy Quantum Walk in Ternary System." IEEE Transactions on Quantum Engineering 2 (2021): 1–12. http://dx.doi.org/10.1109/tqe.2021.3074707.

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22

Shi, Rong-Hua, Yi Xiao, Jin-Jing Shi, Ying Guo, and Moon-Ho Lee. "Anonymous voting for multi-dimensional CV quantum system." Chinese Physics B 25, no. 6 (2016): 060301. http://dx.doi.org/10.1088/1674-1056/25/6/060301.

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23

Bergholtz, Emil J., and Anders Karlhede. "‘One-dimensional’ theory of the quantum Hall system." Journal of Statistical Mechanics: Theory and Experiment 2006, no. 04 (2006): L04001. http://dx.doi.org/10.1088/1742-5468/2006/04/l04001.

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24

Šeba, Petr, and Daniel Vašata. "Chaos in a one-dimensional integrable quantum system." Physics Letters A 373, no. 8-9 (2009): 826–31. http://dx.doi.org/10.1016/j.physleta.2008.12.052.

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25

Burgess, C. P., and C. A. Lütken. "One-dimensional flows in the quantum Hall system." Nuclear Physics B 500, no. 1-3 (1997): 367–78. http://dx.doi.org/10.1016/s0550-3213(97)00318-0.

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26

Tanimu, A., and I. M. Bagudo. "RESONANT STATES IN A ONE-DIMENSIONAL QUANTUM SYSTEM." FUDMA JOURNAL OF SCIENCES 4, no. 3 (2020): 300–304. http://dx.doi.org/10.33003/fjs-2020-0403-394.

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In this work, the concept of resonant states (RSs) in a finite square quantum well is presented. We first derive the analytic secular transcendental equations for even and odd states by applying the outgoing wave boundary conditions into the one-dimensional Schrödinger’s wave equation. The complex solution of these equations is found using the numerical Newton-Raphson method implemented in MATLAB. We can see in particular, that the RSs present a general class of Eigenstates, which includes bound states, anti-bound states, and normal RSs.

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27

Ding, Hanqin, and Jun Zhang. "Superconductivity in a one-dimensional correlated quantum system." Modern Physics Letters B 30, no. 19 (2016): 1650231. http://dx.doi.org/10.1142/s0217984916502316.

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We construct a one-dimensional (1D) theoretical model to clarify the occurrence of superconductivity. The weak-coupling (WC) theory allows a determination of the phase diagram. The constrained hopping induces additional two-body and three-body interactions. At half-filling, the three-body interaction is responsible for the triplet superconducting (TS) correlation. Away from half-filling, the two-body interaction works, favoring the singlet superconducting (SS) correlation. The results are expected to provide an insignificant insight into the superconductivity mechanism.

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28

Tanaka, Satoshi, Kazuki Kanki, and Tomio Petrosky. "Quantum hydrodynamic modes in one-dimensional polaron system." Journal of Luminescence 128, no. 5-6 (2008): 978–81. http://dx.doi.org/10.1016/j.jlumin.2007.12.022.

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29

Ren, Yan, Haipeng Guan, Qiuxia Zhao, and Lishan Ke. "A Signature Scheme on p2−dimensional Quantum System." International Journal of Theoretical Physics 59, no. 7 (2020): 2127–36. http://dx.doi.org/10.1007/s10773-020-04486-1.

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30

Gadomski, Adam, and Natalia Kruszewska. "Matter-Aggregating Low-Dimensional Nanostructures at the Edge of the Classical vs. Quantum Realm." Entropy 25, no. 1 (2022): 1. http://dx.doi.org/10.3390/e25010001.

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This commentary tackles the subtle at-the-edge problem of passing locally by a mesoscopic matter-aggregating system from a classical stochastic to a quantum stochastic description. A d-dimensional entropy-productive aggregation of the matter is taken as the starting point. Then, a dimensional reduction towards a one-dimensional quantum-wire type matter-aggregation system is proposed, resulting in postponing surface-tension conditions for the effectively d = 1-dimensional quantum-wire type or nanorod-like cluster/polycrystal, which is qualitatively consistent with a physical-metallurgical (high

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31

CLARK, JOHN W., DENNIS G. LUCARELLI, and TZYH-JONG TARN. "CONTROL OF QUANTUM SYSTEMS." International Journal of Modern Physics B 17, no. 28 (2003): 5397–411. http://dx.doi.org/10.1142/s021797920302051x.

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A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed against the background of recent ideas and advances in two seemingly disparate endeavours: (i) laser control of chemical reactions and (ii) quantum computation. Using Lie-algebraic methods, sufficient conditions have been derived for global controllability on a finite-dimensional manifold of an infinite-dimensional Hilbert space, in the case that the Hamilto

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32

Lu, Yaohua, and Gangyi Ding. "A novel quantum security multi-party extremum protocol in a d-dimensional quantum system." Physica Scripta 99, no. 9 (2024): 095111. http://dx.doi.org/10.1088/1402-4896/ad6aee.

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Abstract Secure multi-party extremum computation (SMEC) is a specific application scenario of secure multi-party computation, which allows multiple participants to compute the extremum of data without disclosing private information. The extremum includes maximum, minimum, sum of extremums, and difference of extremums. SMEC has wide applications in financial transactions, market analysis, sports events, healthcare, etc. Current protocol research mainly exists in the classical domain and cannot withstand quantum computing attacks. To address this issue, we propose a novel QSME protocol based on

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33

Li, Kai, Ming Zhang, Xiaowen Liu, et al. "Quantum Linear System Algorithm for General Matrices in System Identification." Entropy 24, no. 7 (2022): 893. http://dx.doi.org/10.3390/e24070893.

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Solving linear systems of equations is one of the most common and basic problems in classical identification systems. Given a coefficient matrix A and a vector b, the ultimate task is to find the solution x such that Ax=b. Based on the technique of the singular value estimation, the paper proposes a modified quantum scheme to obtain the quantum state |x⟩ corresponding to the solution of the linear system of equations in O(κ2rpolylog(mn)/ϵ) time for a general m×n dimensional A, which is superior to existing quantum algorithms, where κ is the condition number, r is the rank of matrix A and ϵ is

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34

Mahdavipour, Kobra, Mahshid Khazaei Shadfar, Hossein Rangani Jahromi, Roberto Morandotti, and Rosario Lo Franco. "Memory Effects in High-Dimensional Systems Faithfully Identified by Hilbert–Schmidt Speed-Based Witness." Entropy 24, no. 3 (2022): 395. http://dx.doi.org/10.3390/e24030395.

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A witness of non-Markovianity based on the Hilbert–Schmidt speed (HSS), a special type of quantum statistical speed, has been recently introduced for low-dimensional quantum systems. Such a non-Markovianity witness is particularly useful, being easily computable since no diagonalization of the system density matrix is required. We investigate the sensitivity of this HSS-based witness to detect non-Markovianity in various high-dimensional and multipartite open quantum systems with finite Hilbert spaces. We find that the time behaviors of the HSS-based witness are always in agreement with those

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35

Hu, WenWen, Ri-Gui Zhou, and Jia Luo. "Semi-quantum secret sharing in high-dimensional quantum system using product states." Chinese Journal of Physics 77 (June 2022): 1701–12. http://dx.doi.org/10.1016/j.cjph.2022.03.031.

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36

Hu, Wanbin, and Yumin Dong. "Quantum color image encryption based on a novel 3D chaotic system." Journal of Applied Physics 131, no. 11 (2022): 114402. http://dx.doi.org/10.1063/5.0084611.

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In order to improve the security of quantum color images, this study proposes a novel algorithm for quantum color image encryption based on three-dimensional chaotic systems. The encrypted quantum color image is represented by the novel quantum image representation for color digital image model. The original image is first perturbed by the Arnold transform and then the RGB channel is perturbed separately from the chaotic sequence generated by the new three-dimensional chaotic system by the xor operation. Evaluation metrics such as histogram, information entropy, and correlation of neighboring

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37

Yuan, Ya-Li, and Xi-Wen Hou. "Thermal geometric discords in a two-qutrit system." International Journal of Quantum Information 14, no. 03 (2016): 1650016. http://dx.doi.org/10.1142/s0219749916500167.

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The investigation of quantum discord has mostly focused on two-qubit systems due to the complicated minimization involved in quantum discord for high-dimensional states. In this work, three geometric discords are studied for the thermal state in a two-qutrit system with various couplings, external magnetic fields, and temperatures as well, where the entanglement measured in terms of the generalized negativity is calculated for reference. It is shown that three geometric discords are more robust against temperature and magnetic field than the entanglement negativity. However, all four quantitie

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38

Schultz, C. L., M. J. Ablowitz, and D. Bar Yaacov. "Davey-Stewartson I System: A Quantum (2+1)-Dimensional Integrable System." Physical Review Letters 59, no. 25 (1987): 2825–28. http://dx.doi.org/10.1103/physrevlett.59.2825.

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39

GARCÍA, MARCOS A. G., and ALEXANDER V. TURBINER. "THE QUANTUM H4 INTEGRABLE SYSTEM." Modern Physics Letters A 26, no. 06 (2011): 433–47. http://dx.doi.org/10.1142/s0217732311034839.

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The quantum H4 integrable system is a 4D system with rational potential related to the non-crystallographic root system H4 with 600-cell symmetry. It is shown that the gauge-rotated H4 Hamiltonian as well as one of the integrals, when written in terms of the invariants of the Coxeter group H4, is in algebraic form: it has polynomial coefficients in front of the derivatives. Any eigenfunction is a polynomial multiplied by ground-state function (factorization property). Spectra correspond to one of the anisotropic harmonic oscillators. The Hamiltonian has infinitely-many finite-dimensional invar

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40

SOMARAJU, RAM, MAZYAR MIRRAHIMI, and PIERRE ROUCHON. "APPROXIMATE STABILIZATION OF AN INFINITE DIMENSIONAL QUANTUM STOCHASTIC SYSTEM." Reviews in Mathematical Physics 25, no. 01 (2013): 1350001. http://dx.doi.org/10.1142/s0129055x13500013.

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We study the state feedback stabilization of a quantum harmonic oscillator near a pre-specified Fock state (photon number state). Such a state feedback controller has been recently implemented on a quantized electromagnetic field in an almost lossless cavity. Such open quantum systems are governed by a controlled discrete-time Markov chain in the unit ball of an infinite dimensional Hilbert space. The control design is based on an unbounded Lyapunov function that is minimized at each time-step by feedback. This ensures (weak-*) convergence of probability measures to a final measure concentrate

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41

Wu, Yueyang. "A New Simple Method of Simulating One Dimensional Quantum Problem Based on Lattice Point Concepts." Highlights in Science, Engineering and Technology 38 (March 16, 2023): 461–69. http://dx.doi.org/10.54097/hset.v38i.5868.

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One-dimensional quantum problems have always been an important issue in various branches of quantum mechanics fields, and many quantum models can be idealized as one-dimensional potential profiles. Therefore, it is necessary to investigates the way to deal with and calculate the problems. This paper proposes a new and simple method for simulation and calculation of one-dimensional quantum problems. To be specific, by representing continuous X values by a series of discrete lattice points, the Hamiltonian matrix is constructed for the system in the way of dealing with monomer and many-body prob

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42

Aniello, Paolo, Stefano Mancini, and Vincenzo Parisi. "A p-Adic Model of Quantum States and the p-Adic Qubit." Entropy 25, no. 1 (2022): 86. http://dx.doi.org/10.3390/e25010086.

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We propose a model of a quantum N-dimensional system (quNit) based on a quadratic extension of the non-Archimedean field of p-adic numbers. As in the standard complex setting, states and observables of a p-adic quantum system are implemented by suitable linear operators in a p-adic Hilbert space. In particular, owing to the distinguishing features of p-adic probability theory, the states of an N-dimensional p-adic quantum system are implemented by p-adic statistical operators, i.e., trace-one selfadjoint operators in the carrier Hilbert space. Accordingly, we introduce the notion of selfadjoin

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43

Zhou, Jie, Hui-Xian Meng, Wei-Min Shang, and Jing-Ling Chen. "Quantum contextuality of YO-13 rays." Modern Physics Letters A 36, no. 12 (2021): 2150088. http://dx.doi.org/10.1142/s0217732321500887.

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Quantum contextuality, a more general quantum correlation, is an important resource for quantum computing and quantum information processing. Meanwhile, quantum contextuality plays an important role in fundamental quantum physics. Yu and Oh (YO) proposed a proof of the Kochen–Specker theorem for a qutrit with only 13 rays. Here, we further study quantum contextuality of YO-13 rays using the inequality approach. The maximum quantum violation value of the optimal noncontextuality inequality constructed by YO-13 rays is increased to 11.9776 in the four-dimensional system, which is larger than 11.

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44

Zeng, Gang-hui, Yang Zhang, Aleksey N. Bolgar, et al. "Quantum versus classical regime in circuit quantum acoustodynamics." New Journal of Physics 23, no. 12 (2021): 123001. http://dx.doi.org/10.1088/1367-2630/ac3555.

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Abstract We experimentally study a circuit quantum acoustodynamics system with a superconducting artificial atom coupled to both a two-dimensional surface acoustic wave resonator and a one-dimensional microwave transmission line. The strong coupling between the artificial atom and the acoustic wave resonator is confirmed by the observation of the vacuum Rabi splitting at the base temperature of dilution refrigerator. We show that the propagation of microwave photons in the microwave transmission line can be controlled by a few phonons in the acoustic wave resonator. Furthermore, we demonstrate

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45

Chen, Chen, Guojun Gao, Ying Wang, Yuqi Pan, and Shuyu Zhou. "Dark soliton dynamics for quantum systems with higher-order dispersion and higher-order nonlinearity." Modern Physics Letters B 35, no. 17 (2021): 2150284. http://dx.doi.org/10.1142/s0217984921502845.

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In this work, we investigated one-dimensional and two-dimensional quantum systems with higher-order dispersions and higher-order nonlinear interactions. Based on the high-order nonlinear Schrödinger equation (NLSE) and via the [Formula: see text]-expansion method, we derived the analytical dark soliton solution for the one-dimensional system first. By applying the self-similar method and using the results of the one-dimensional case, the analytical dark soliton solution of the system in the two-dimensional case was derived. The dynamic evolution pattern of the two-dimensional dark soliton is p

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46

Setyo, Deny Pra, Eny Latifah, Arif Hidayat, and Hari Wisodo. "Quantum Relativistic Diesel Engine with Single Massless Fermion in 1 Dimensional Box System." Jurnal Penelitian Fisika dan Aplikasinya (JPFA) 8, no. 1 (2018): 25. http://dx.doi.org/10.26740/jpfa.v8n1.p25-32.

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The quantum Diesel of a single fermion in 1D box system has been explored. The Fermion particle meets the Dirac's relativistic Hamiltonian with a chosen mass worth zero. This Relativistic Diesel engine research aims to obtain Diesel engine efficiency that utilizes massless fermion particles as a working substance. This study implements a modified analogy model of the classical analogue model to quantum with the implementation of the first law of thermodynamics for quantum systems so that quantum thermodynamic processes can be defined explicitly. The exploratory results of a single quantum ferm

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Endo, Takasi, Shin'ichi Osano, Kouichi Toyoshima, and Yutaka Hirayoshi. "Ballistic Quantum Walk in a Discrete One-Dimensional System." Journal of the Physical Society of Japan 78, no. 6 (2009): 064004. http://dx.doi.org/10.1143/jpsj.78.064004.

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Hu, P. "One-dimensional quantum electron system under a finite voltage." Physical Review B 35, no. 8 (1987): 4078–81. http://dx.doi.org/10.1103/physrevb.35.4078.

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Murtazaev, Akai K., and Magomed A. Magomedov. "Quantum Monte Carlo study of low-dimensional magnetic system." Journal of Magnetism and Magnetic Materials 300, no. 1 (2006): e570-e573. http://dx.doi.org/10.1016/j.jmmm.2005.10.219.

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Janssen, Norbert, and Wilhelm Zwerger. "Quantum Brownian motion in a one-dimensional disordered system." Zeitschrift f�r Physik B Condensed Matter 83, no. 3 (1991): 441–46. http://dx.doi.org/10.1007/bf01313415.

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