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Journal articles on the topic 'Adiabatic evolution'

Author: Grafiati

Published: 7 June 2025

Last updated: 2 August 2025

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1

Ciavarella, Anthony N., Stephan Caspar, Marc Illa, and Martin J. Savage. "State Preparation in the Heisenberg Model through Adiabatic Spiraling." Quantum 7 (April 6, 2023): 970. http://dx.doi.org/10.22331/q-2023-04-06-970.

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An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.

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2

Sun, Jie, Songfeng Lu, and Fang Liu. "On the General Class of Models of Adiabatic Evolution." Open Systems & Information Dynamics 23, no. 03 (2016): 1650016. http://dx.doi.org/10.1142/s1230161216500165.

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The general class of models of adiabatic evolution was proposed to speed up the usual adiabatic computation in the case of quantum search problem. It was shown [8] that, by temporarily increasing the ground state energy of a time-dependent Hamiltonian to a suitable quantity, the quantum computation can perform the calculation in time complexity O(1). But it is also known that if the overlap between the initial and final states of the system is zero, then the computation based on the generalized models of adiabatic evolution can break down completely. In this paper, we find another severe limit

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3

Xu, Kebiao, Tianyu Xie, Fazhan Shi, et al. "Breaking the quantum adiabatic speed limit by jumping along geodesics." Science Advances 5, no. 6 (2019): eaax3800. http://dx.doi.org/10.1126/sciadv.aax3800.

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Quantum adiabatic evolutions find a broad range of applications in quantum physics and quantum technologies. The traditional form of the quantum adiabatic theorem limits the speed of adiabatic evolution by the minimum energy gaps of the system Hamiltonian. Here, we experimentally show using a nitrogen-vacancy center in diamond that, even in the presence of vanishing energy gaps, quantum adiabatic evolution is possible. This verifies a recently derived necessary and sufficient quantum adiabatic theorem and offers paths to overcome the conventionally assumed constraints on adiabatic methods. By

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4

Sun, Jie, and Songfeng Lu. "A family of system Hamiltonian in quantum adiabatic search type problem." International Journal of Quantum Information 17, no. 02 (2019): 1950015. http://dx.doi.org/10.1142/s0219749919500151.

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In this paper [J. Sun, S. Lu and F. Liu, Open Syst. Info. Dyn.23(3) (2016) 1650016], we have studied a general class of adiabatic evolutions in quantum adiabatic search type problem, and found another limitation on it, besides those reported in our early work. In this paper, we extend this study by considering adding an extra driving scheme to the system Hamiltonian of this type of quantum adiabatic evolution. It will be shown that, like the previous study in [J. Sun, S. Lu and F. Liu, Open Syst. Info. Dyn.23(3) (2016) 1650016], the limitation above can also possibly penetrate into the search

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5

Benmachiche, Abderrahim, Derradji Bahloul, Gharib Subhi Mahmoud, and Azeddine Messikh. "Rotation Gates with Controlled Adiabatic Evolutions in Open Systems." Open Systems & Information Dynamics 25, no. 03 (2018): 1850013. http://dx.doi.org/10.1142/s1230161218500130.

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Single quantum rotation gates can be perfectly implemented in a closed system using the controlled adiabatic evolutions process proposed by Itay Hen that may lead to build some quantum circuit blocks [Phys. Rev. A, 022309 (2015)]. These adiabatic evolutions yield to vanishing geometric phases. In this work, we extended Itay’s work by considering a more realistic model where the qubits are subjected to decoherence effects during the adiabatic evolution process. We demonstrate that, in the case of an open system, the decoherence leads to nonvanishing geometric phases and drastically reduces the

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6

Sun, Jie, Songfeng Lu, and Fang Liu. "Generalized quantum partial adiabatic evolution." Quantum Information Processing 13, no. 4 (2013): 909–16. http://dx.doi.org/10.1007/s11128-013-0700-z.

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7

Wang, W., S. C. Hou, and X. X. Yi. "Adiabatic evolution under quantum control." Annals of Physics 327, no. 5 (2012): 1293–303. http://dx.doi.org/10.1016/j.aop.2012.01.001.

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8

Bae, Joonwoo, and Younghun Kwon. "Speedup in Quantum Adiabatic Evolution Algorithm." Zeitschrift für Naturforschung A 58, no. 4 (2003): 201–3. http://dx.doi.org/10.1515/zna-2003-0404.

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The quantum adiabatic evolution algorithm suggested by Farhi et al. was effective in solving NPcomplete problems. The algorithm is governed by the adiabatic theorem. Therefore, in order to reduce the running time, it is essential to examine the minimum energy gap between the ground level and the next one in the evolution. In this paper we show a way of speedup in the quantum adiabatic evolution algorithm, using an extended Hamiltonian. We present the exact relation between the energy gap and the elements of the extended Hamiltonian, which provides a new point of view to reduce the running time

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9

ZHANG Shuoshi, CHANG Mingli, LIU Modian, and DONG Jianwen. "Theoretical study of non-adiabatic evolution in Rice-Mele topological pumping model." Acta Physica Sinica 74, no. 14 (2025): 0. https://doi.org/10.7498/aps.74.20250485.

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Topological pumping based on Thouless pumping can be effectively applied to optical waveguide array systems to achieve robust light manipulation with strong disturbance resistance. One of its typical models, the Rice-Mele (R-M) model, enables directional light field transmission from the leftmost (rightmost) waveguide to the rightmost (leftmost) waveguide, which can be utilized to realize fabrication-tolerant optical couplers. Adiabatic evolution is a critical factor influencing the transport of topological eigenstates. However, it requires the system’s parameter variation to be sufficiently s

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10

Scheibe, Ludwig, Nadine Nettelmann, and Ronald Redmer. "Thermal evolution of Uranus and Neptune." Astronomy & Astrophysics 632 (December 2019): A70. http://dx.doi.org/10.1051/0004-6361/201936378.

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The brightness of Neptune is often found to be in accordance with an adiabatic interior, while the low luminosity of Uranus challenges this assumption. Here we apply revised equation of state data of hydrogen, helium, and water and compute the thermal evolution of Uranus and Neptune assuming an adiabatic interior. For this purpose, we have developed a new planetary model and evolution code. We investigate the influence of albedo, solar energy influx, and equations of state of H and He, and water on the cooling time. Our cooling times of about τU = 5.1 × 109 yr for Uranus and τN = 3.7 × 109 yr

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11

Xue, Yulong, Lingxuan Zhang, Yangming Ren, Yufang Lei, and Xiaochen Sun. "Fast Adiabatic Mode Evolution Assisted 2 × 2 Broadband 3 dB Coupler Using Silicon-on-Insulator Fishbone-like Grating Waveguides." Nanomaterials 13, no. 20 (2023): 2776. http://dx.doi.org/10.3390/nano13202776.

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We report a novel 2 × 2 broadband 3 dB coupler based on fast adiabatic mode evolution with a compact footprint and large bandwidth. The working principle of the coupler is based on the rapid adiabatic evolution of local eigenmodes of fishbone-like grating waveguides. Different from a traditional adiabatic coupling method realized by the slow change of the cross-section size of a strip waveguide, a fishbone waveguide allows faster adiabatic transition with proper structure and segment designs. The presented 3 dB coupler achieves a bandwidth range of 168 nm with an imbalance of no greater than ±

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12

Li, J. Q., Tao Tao Dong, and Min Jie Wang. "Research on Dynamic Constitutive Relation of Materials Taking Account of Damage Evolution and Fracture Law for High Speed Cutting." Advanced Materials Research 188 (March 2011): 224–29. http://dx.doi.org/10.4028/www.scientific.net/amr.188.224.

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The adiabatic shear, which may produce serrated chip, usually occurs for a large number of materials in high speed machining. Adiabatic shear band is an important damage model for metals under high-velocity deformation process. The damage evolution of micro-voids in adiabatic shear bands resulted in material fracture finally. Now the thermal softening effect, the strain rate harding effect and the strain harding effect have been discussed extensively in literature, but there is very little research on its damage effect. Based on the experiments of predecessors, this paper presents a new damage

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13

Childs, A. M., E. Farhi, J. Goldstone, and S. Gutmann. "Finding cliques by quantum adiabatic evolution." Quantum Information and Computation 2, no. 3 (2002): 181–91. http://dx.doi.org/10.26421/qic2.3-1.

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Quantum adiabatic evolution provides a general technique for the solution of combinatorial search problems on quantum computers. We present the results of a numerical study of a particular application of quantum adiabatic evolution, the problem of finding the largest clique in a random graph. An n-vertex random graph has each edge included with probability 1/2, and a clique is a completely connected subgraph. There is no known classical algorithm that finds the largest clique in a random graph with high probability and runs in a time polynomial in n. For the small graphs we are able to investi

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14

Fathi, Mohsen, Martín Molina, and J. R. Villanueva. "Adiabatic evolution of Hayward black hole." Physics Letters B 820 (September 2021): 136548. http://dx.doi.org/10.1016/j.physletb.2021.136548.

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15

Joye, Alain. "Adiabatic Lindbladian Evolution with Small Dissipators." Communications in Mathematical Physics 391, no. 1 (2022): 223–67. http://dx.doi.org/10.1007/s00220-021-04306-5.

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16

Dai, Lixin, Roger D. Blandford, and Peter P. Eggleton. "Adiabatic evolution of mass-losing stars." Monthly Notices of the Royal Astronomical Society 434, no. 4 (2013): 2940–47. http://dx.doi.org/10.1093/mnras/stt1208.

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17

Zhang, Qi, Jiangbin Gong, and Biao Wu. "Hierarchical theory of quantum adiabatic evolution." New Journal of Physics 16, no. 12 (2014): 123024. http://dx.doi.org/10.1088/1367-2630/16/12/123024.

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18

Vidal, Jorge, and José Wudka. "Adiabatic evolution of quantum-mechanical systems." Physical Review A 44, no. 9 (1991): 5383–89. http://dx.doi.org/10.1103/physreva.44.5383.

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19

Tanaka, Atushi. "Adiabatic Theorem for Discrete Time Evolution." Journal of the Physical Society of Japan 80, no. 12 (2011): 125002. http://dx.doi.org/10.1143/jpsj.80.125002.

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20

Elliston, Joseph, David J. Mulryne, David Seery, and Reza Tavakol. "Evolution of fNLto the adiabatic limit." Journal of Cosmology and Astroparticle Physics 2011, no. 11 (2011): 005. http://dx.doi.org/10.1088/1475-7516/2011/11/005.

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21

Zeng, Ye-Xiong, Tesfay Gebremariam, Ming-Song Ding, and Chong Li. "Adiabatic Evolution: The Influence of Non-Markovian Characters on Quantum Adiabatic Evolution (Ann. Phys. 1/2019)." Annalen der Physik 531, no. 1 (2019): 1970010. http://dx.doi.org/10.1002/andp.201970010.

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22

Vazan, Allona, Ravit Helled, and Tristan Guillot. "Jupiter’s evolution with primordial composition gradients." Astronomy & Astrophysics 610 (February 2018): L14. http://dx.doi.org/10.1051/0004-6361/201732522.

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Recent formation and structure models of Jupiter suggest that the planet can have composition gradients and not be fully convective (adiabatic). This possibility directly affects our understanding of Jupiter’s bulk composition and origin. In this Letter we present Jupiter’s evolution with a primordial structure consisting of a relatively steep heavy-element gradient of 40 M⊕. We show that for a primordial structure with composition gradients, most of the mixing occurs in the outer part of the gradient during the early evolution (several 107 yr), leading to an adiabatic outer envelope (60% of J

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23

Gu, Liyao. "The influences of adiabatic shear evolution on tool failure in high-speed machining of railway steel." Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture 233, no. 5 (2018): 1588–93. http://dx.doi.org/10.1177/0954405417752529.

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Adiabatic shear evolution in serrated chip will lead to inevitable impacts on the tool failure with the cutting speed increasing. The high-speed machining experiment of railway steel was carried out by applying the cemented carbide insert. The chip morphology transformation with white layer during adiabatic shear evolution was observed, and its influence on the tool failure mechanism on rake face was further investigated microscopically. The experimental results were concluded that the isolated segment chip formation due to adiabatic shear fracture weakened the wear effects on the rake face un

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24

Zhuang, Min, Jiahao Huang, Yongguan Ke, and Chaohong Lee. "Quantum Adiabatic Evolution: Symmetry‐Protected Quantum Adiabatic Evolution in Spontaneous Symmetry‐Breaking Transitions (Ann. Phys. 4/2020)." Annalen der Physik 532, no. 4 (2020): 2070020. http://dx.doi.org/10.1002/andp.202070020.

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25

Chen, Xiaobo, Yu Gu, Guohua Tao, Yanli Pei, Guangjin Wang, and Ni Cui. "Origin of hydrogen evolution activity on MS2 (M = Mo or Nb) monolayers." Journal of Materials Chemistry A 3, no. 37 (2015): 18898–905. http://dx.doi.org/10.1039/c5ta02817e.

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The Volmer reaction is thermodynamically governed by adiabatic electron and proton affinities, and the high HER activity of 2D MS<sub>2</sub> monolayers comes from their large adiabatic electron affinities.

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26

SUN, JIE, and SONG-FENG LU. "ON THE ADIABATIC EVOLUTION OF ONE-DIMENSIONAL PROJECTOR HAMILTONIANS." International Journal of Quantum Information 10, no. 04 (2012): 1250046. http://dx.doi.org/10.1142/s0219749912500463.

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In this paper, we discuss the adiabatic evolution of one-dimensional projector Hamiltonians. Three kinds of adiabatic algorithms for this problem are shown, in which two of them provide a quadratic speedup over the other one. But when the ground state of the initial Hamiltonian and that of the final Hamiltonian have a zero overlap, the algorithms above all fail, in the sense of infinite time complexity. A corresponding revised method for this phenomenon through adding a driving Hamiltonian is also shown, from which a constant time complexity can be gained. But by a simple analysis, we find tha

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27

Arena, S. E., G. Bertin, T. Liseikina, and F. Pegoraro. "Non Adiabatic Evolution of Elliptical Galaxies by Dynamical Friction." Proceedings of the International Astronomical Union 2, S235 (2006): 188. http://dx.doi.org/10.1017/s1743921306005941.

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AbstractMany astrophysical problems, ranging from structure formation in cosmology to dynamics of elliptical galaxies, refer to slow processes of evolution of essentially collisionless self-gravitating systems. To determine the relevant quasi-equilibrium configuration at time t from given initial conditions, such slow evolution is often approximated in terms of adiabatic evolution. Here we focus on the slow process of evolution induced by dynamical friction of a spherical stellar system (the host galaxy) on a minority component of “satellites” (distributed in a spherical shell), to determine t

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28

DONG, PING, GANG ZHANG, MING YANG, and ZHUO-LIANG CAO. "ENTANGLEMENT GENERATION AND CONCENTRATION VIA ADIABATIC EVOLUTION WITH TRAPPED IONS." Modern Physics Letters B 22, no. 01 (2008): 1–7. http://dx.doi.org/10.1142/s0217984908014560.

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We propose two schemes via adiabatic evolution of dark eigenstates in an ion trap system. One is an entanglement generation of multi-ion cluster states, the other is entanglement concentration via entanglement swapping. Our schemes are robust against moderate fluctuations of experimental parameters since we utilize the adiabatic passage in the main procedure. The current idea can be generalized to other systems.

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29

Gruber, Christian. "Thermodynamics of systems with internal adiabatic constraints: time evolution of the adiabatic piston." European Journal of Physics 20, no. 4 (1999): 259–66. http://dx.doi.org/10.1088/0143-0807/20/4/303.

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30

ANDRECUT, M., and M. K. ALI. "ON THE ADIABATIC QUANTUM EVOLUTION OF A SINGLE QUBIT." International Journal of Quantum Information 02, no. 04 (2004): 447–52. http://dx.doi.org/10.1142/s0219749904000432.

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The adiabatic quantum evolution method has generally been studied for the case where the linear interpolation from an initial to a final Hamiltonian is taken. However, this approach fails even for the case of a single qubit, when the initial and final states are orthogonal or almost orthogonal. In this case, the evolution time becomes infinite. We show that by using a simple nonlinear interpolation method the adiabatic evolution can be done in finite time, regardless of the orthogonality of the initial and final states.

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31

DOLGOPYAT, DMITRY. "EVOLUTION OF ADIABATIC INVARIANTS IN STOCHASTIC AVERAGING." Stochastics and Dynamics 04, no. 02 (2004): 265–75. http://dx.doi.org/10.1142/s0219493704001036.

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An averaging problem with Markov fast motion is considered. The diffusive limit is obtained for the evolution of adiabatic invariants under the assumption that the averaged motion is ergodic on almost every energy level.

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32

Gałkowski, A., and R. Zelazny. "Adiabatic Evolution of the Axisymmetric Rotating Plasma." Fusion Technology 27, no. 3T (1995): 463–66. http://dx.doi.org/10.13182/fst95-a11947129.

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33

Rezaei Fard, E., and K. Aghayar. "Quantum Adiabatic Evolution for Pattern Recognition Problem." Chinese Physics Letters 34, no. 12 (2017): 120302. http://dx.doi.org/10.1088/0256-307x/34/12/120302.

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34

Joye, Alain. "General Adiabatic Evolution with a Gap Condition." Communications in Mathematical Physics 275, no. 1 (2007): 139–62. http://dx.doi.org/10.1007/s00220-007-0299-y.

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35

Sun, Jie, Song-Feng Lu, Fang Liu, and Li-Ping Yang. "Partial evolution based local adiabatic quantum search." Chinese Physics B 21, no. 1 (2012): 010306. http://dx.doi.org/10.1088/1674-1056/21/1/010306.

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36

Verhulst, F., and R. J. A. G. Huveneers. "A Metaphor for Adiabatic Evolution to Symmetry." SIAM Journal on Applied Mathematics 57, no. 5 (1997): 1421–42. http://dx.doi.org/10.1137/s0036139995289568.

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37

Wu, Zhaoyan. "Higher-order adiabatic approximations for classical evolution." Physical Review A 40, no. 12 (1989): 6852–56. http://dx.doi.org/10.1103/physreva.40.6852.

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38

Betz, Volker, and Stefan Teufel. "Precise Coupling Terms in Adiabatic Quantum Evolution." Annales Henri Poincaré 6, no. 2 (2005): 217–46. http://dx.doi.org/10.1007/s00023-005-0204-1.

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39

Sun, Jie, SongFeng Lu, and Fang Liu. "Speedup in adiabatic evolution based quantum algorithms." Science China Physics, Mechanics and Astronomy 55, no. 9 (2012): 1630–34. http://dx.doi.org/10.1007/s11433-012-4854-y.

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40

Wurtz, Jonathan, and Peter J. Love. "Counterdiabaticity and the quantum approximate optimization algorithm." Quantum 6 (January 27, 2022): 635. http://dx.doi.org/10.22331/q-2022-01-27-635.

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The quantum approximate optimization algorithm (QAOA) is a near-term hybrid algorithm intended to solve combinatorial optimization problems, such as MaxCut. QAOA can be made to mimic an adiabatic schedule, and in the p&#x2192;&#x221E; limit the final state is an exact maximal eigenstate in accordance with the adiabatic theorem. In this work, the connection between QAOA and adiabaticity is made explicit by inspecting the regime of p large but finite. By connecting QAOA to counterdiabatic (CD) evolution, we construct CD-QAOA angles which mimic a counterdiabatic schedule by matching Trott

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41

Ahrensmeier, D. "Entanglement and adiabatic quantum computation." Canadian Journal of Physics 84, no. 6-7 (2006): 645–51. http://dx.doi.org/10.1139/p06-033.

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Adiabatic quantum computation provides an alternative approach to quantum computation using a time-dependent Hamiltonian. The time evolution of entanglement during the adiabatic quantum search algorithm is studied, and its relevance as a resource is discussed.PACS Nos.: 03.67.–a, 03.67.Lx, 03.67.Mn

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42

WEN, JIAYAN, YI HUANG, and DAOWEN QIU. "ENTANGLEMENT PROPERTIES OF ADIABATIC QUANTUM ALGORITHMS." International Journal of Quantum Information 07, no. 08 (2009): 1531–39. http://dx.doi.org/10.1142/s0219749909006000.

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In this paper, by constructing a more entangled quantum system, we shorten the adiabatic quantum search algorithm to constant time. On the other hand, we show that the speed-up of adiabatic quantum algorithms by selecting particular adiabatic evolution paths or injecting energy into the quantum system can be explained as a form of entanglement enlargement. These findings suggest that entanglement plays a fundamental role for the efficiency of algorithm performance.

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43

Wang, Tong Bo, Bo Long Li, Mian Li, Ying Chao Li, and Zuo Ren Nie. "The Dynamic Mechanical Behavior and Microstructural Evolution of Commercial Pure Titanium." Advanced Materials Research 968 (June 2014): 7–11. http://dx.doi.org/10.4028/www.scientific.net/amr.968.7.

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The high strain rate deformation behavior of as-annealed and as-cold rolled pure titanium was inspected by Split Hopkinson Pressure Bar (SHPB). The effect of deformation structure on adiabatic shear behavior in pure titanium was analyzed from the aspect of dynamic mechanical response and microstructural evolution. It was found that the strong {0001} basal texture was formed in as-cold rolled pure titanium. There were Geometrically Necessary Boundaries (GNBs) with spacing of 0.6μm and Incidental Dislocation Boundaries (IDBs) with size of 80nm in one grain. The enhancement of adiabatic shear sen

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Minière, J., S. E. Bouquet, C. Michaut, J. Sanz, and M. Mancini. "Numerical study of the Vishniac instability in cooled supernova remnants." Astronomy & Astrophysics 617 (September 2018): A133. http://dx.doi.org/10.1051/0004-6361/201832663.

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Aims. The Vishniac instability is thought to explain the complex structure of radiative supernova remnants (SNRs) when a blast wave has propagated from a central explosion. Methods. In this paper, we present numerical studies with the two-dimensional (2D) code HADES. We compare simulations of non-cooling perturbed SNRs, with simulations of perturbed SNRs experiencing radiative losses. In the first case, a low adiabatic index involves a high compression rate that can mimic the effect of radiative losses, whereas a cooling function is used in the second case. Results. The development of the pert

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45

Ge, Hongwei, R. F. Webbink, and Z. Han. "A Model for Adiabatic Mass-loss." Proceedings of the International Astronomical Union 4, S252 (2008): 419–20. http://dx.doi.org/10.1017/s1743921308023363.

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AbstractWe describe our work on the development and application of a stellar structure code to compute model sequences representing donor stars in interacting binaries subject to rapid (adiabatic) mass-loss. The donor star is assumed to remain in hydrostatic equilibrium, but no heat flow is allowed. These sequences can be used to define bifurcation sequences in close binary evolution, and to circumscribe possible survivors of common envelope evolution.

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46

Perelman, Galina. "Evolution of adiabatically perturbed resonant states." Asymptotic Analysis 22, no. 3-4 (2000): 177–203. https://doi.org/10.3233/asy-2000-382.

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We describe the long time behavior of the resonant states for a class of Hamiltonians adiabatically depending on time in the case where the lifetime of the resonance is comparable with the adiabatic scale.

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47

KODAMA, HIDEO, and MISAO SASAKI. "EVOLUTION OF ISOCURVATURE PERTURBATIONS I: PHOTON-BARYON UNIVERSE." International Journal of Modern Physics A 01, no. 01 (1986): 265–301. http://dx.doi.org/10.1142/s0217751x86000137.

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The isocurvature perturbation in the photon-baryon universe is comprehensively studied by analytic methods in the framework of the gauge-invariant perturbation theory. In particular the evolutionary behavior of the isocurvature perturbation and its influence on the anisotropy in the cosmic microwave background are examined in detail. The results are compared with those for the adiabatic perturbation and some peculiar features of the isocurvature perturbation are pointed out and their origin is clarified. Besides these studies the ambiguities associated with the definition of non-adiabatic pert

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48

NAUMOV, V. A. "THREE-NEUTRINO OSCILLATIONS IN MATTER, CP-VIOLATION AND TOPOLOGICAL PHASES." International Journal of Modern Physics D 01, no. 02 (1992): 379–99. http://dx.doi.org/10.1142/s0218271892000203.

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The phenomenon of Dirac neutrino oscillations in medium of varying density and composition is studied for the case of three lepton generations using the Berry adiabatic approach. The expressions for the topological phases γN are derived. It is shown that the Berry phases, arising when matter parameters vary periodically, are equal to zero identically, while in the case of noncyclic evolution, γN≢0 (in a special gauge) under the condition that all matrix elements of the flavor-mixing matrix in vacuum, CP-violating (Dirac) phase and neutrino-mass-squares differences are not equal to zero simulta

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49

Ronagh, Pooya, Brad Woods, and Ehsan Iranmanesh. "Solving constrained quadratic binary problems via quantum adiabatic evolution." Quantum Information and Computation 16, no. 11&12 (2016): 1029–47. http://dx.doi.org/10.26421/qic16.11-12-6.

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Quantum adiabatic evolution is perceived as useful for binary quadratic programming problems that are a priori unconstrained. For constrained problems, it is a common practice to relax linear equality constraints as penalty terms in the objective function. However, there has not yet been proposed a method for efficiently dealing with inequality constraints using the quantum adiabatic approach. In this paper, we give a method for solving the Lagrangian dual of a binary quadratic programming (BQP) problem in the presence of inequality constraints and employ this procedure within a branch-and-bou

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50

ELLISTON, JOSEPH, DAVID MULRYNES, DAVID SEERY, and REZA TAVAKOL. "EVOLUTION OF NON-GAUSSIANITY IN MULTI-SCALAR FIELD MODELS." International Journal of Modern Physics A 26, no. 22 (2011): 3821–32. http://dx.doi.org/10.1142/s0217751x11054280.

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Abstract:

We study the evolution of non-Gaussianity in multiple-field inflationary models, focusing on three fundamental questions: (a) How is the sign and peak magnitude of the non-linearity parameter f NL related to generic features in the inflationary potential? (b) How sensitive is f NL to the process by which an adiabatic limit is reached, where the curvature perturbation becomes conserved? (c) For a given model, what is the appropriate tool – analytic or numerical – to calculate f NL at the adiabatic limit? We summarise recent results obtained by the authors and further elucidate them by consideri

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