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1

Tazawa, T., and Y. Abe. "Resonances due to the Landau-Zener transition." Physical Review C 41, no. 1 (1990): R17—R20. http://dx.doi.org/10.1103/physrevc.41.r17.

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2

Vitanov, N. V. "Transition times in the Landau-Zener model." Physical Review A 59, no. 2 (1999): 988–94. http://dx.doi.org/10.1103/physreva.59.988.

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3

Akulin, V. M., and W. P. Schleich. "Landau-Zener transition to a decaying level." Physical Review A 46, no. 7 (1992): 4110–13. http://dx.doi.org/10.1103/physreva.46.4110.

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4

Heide, Christian, Takuya Higuchi, Konrad Ullmann, Heiko B. Weber, and Peter Hommelhoff. "Lightwave-controlled electron dynamics in graphene." EPJ Web of Conferences 205 (2019): 05002. http://dx.doi.org/10.1051/epjconf/201920505002.

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We demonstrate that currents induced in graphene by ultrashort laser pulses are sensitive to the exact shape of the electric-field waveform. By increasing the field strength, we found a transition of the light–matter interaction from the weak-field to the strong-field regime at around 2 V/nm, where intraband dynamics influence interband transitions. In this strong-field regime, the light-matter interaction can be described by the wavenumber trajectories of electrons in the reciprocal space. For linearly polarized light the electron dynamics are governed by repeated sub-optical-cycle Landau-Zener transitions between the valence- and conduction band, resulting in Landau-Zener-Stuckelberg interference, whereas for circular polarized light this interference is supressed.
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5

KRAFT, MATTHIAS, STEPHAN BURKHARDT, RICCARDO MANNELLA, and SANDRO WIMBERGER. "LANDAU–ZENER TRANSITIONS IN THE PRESENCE OF HARMONIC NOISE." Fluctuation and Noise Letters 12, no. 02 (2013): 1340005. http://dx.doi.org/10.1142/s0219477513400051.

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We study the influence of off-diagonal harmonic noise on transitions in a Landau–Zener model. We demonstrate that the harmonic noise can change the transition probabilities substantially and that its impact depends strongly on the characteristic frequency of the noise. In the underdamped regime of the noise process, its effect is compared with the one of a deterministic sinusoidally oscillating function. While altering the properties of the noise process allows one to engineer the transitions probabilities, driving the system with a deterministic sinusoidal function can result in larger and more controlled changes of the transition probability. This may be relevant for realistic implementations of our model with Bose–Einstein condensates in noise-driven optical lattices.
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6

WAN, ANDY T. S., M. H. S. AMIN, and SHANNON X. WANG. "LANDAU-ZENER TRANSITIONS IN THE PRESENCE OF SPIN ENVIRONMENT." International Journal of Quantum Information 07, no. 04 (2009): 725–37. http://dx.doi.org/10.1142/s0219749909005353.

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We study the effect of an environment consisting of noninteracting two level systems on Landau-Zener transitions with an interest on the performance of an adiabatic quantum computer. We show that if the environment is initially at zero temperature, it does not affect the transition probability. An excited environment, however, will always increase the probability of making a transition out of the ground state. For the case of equal intermediate gaps, we find an analytical upper bound for the transition probability in the limit of large number of environmental spins. We show that such an environment will only suppress the probability of success for adiabatic quantum computation by at most a factor close to 1/2.
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7

Ao, Ping, and Jo?rgen Rammer. "Influence of dissipation on the Landau-Zener transition." Physical Review Letters 62, no. 25 (1989): 3004–7. http://dx.doi.org/10.1103/physrevlett.62.3004.

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8

Wang Wen-Yuan, Meng Hong-Juan, Yang Yang, et al. "Nonlinear Landau-Zener transition of Fermi superfluid gases." Acta Physica Sinica 61, no. 8 (2012): 087302. http://dx.doi.org/10.7498/aps.61.087302.

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9

Suqing, Duan, Li-Bin Fu, Jie Liu, and Xian-Geng Zhao. "Effects of periodic modulation on the Landau–Zener transition." Physics Letters A 346, no. 4 (2005): 315–20. http://dx.doi.org/10.1016/j.physleta.2005.07.086.

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10

Carroll, C. E., and F. T. Hioe. "Transition probabilities for the three-level Landau-Zener model." Journal of Physics A: Mathematical and General 19, no. 11 (1986): 2061–73. http://dx.doi.org/10.1088/0305-4470/19/11/014.

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11

Mirea, M. "Landau–Zener Effect in Superfluid Nuclear Systems." Modern Physics Letters A 18, no. 26 (2003): 1809–17. http://dx.doi.org/10.1142/s021773230301154x.

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The Landau–Zener effect is generalized for many-body systems with pairing residual interactions. The microscopic equations of motion are obtained and the 14C decay of 223Ra spectroscopic factors are deduced. An asymmetric nuclear shape parametrization given by two intersected spheres is used. The single particle level scheme is determined in the frame of the superasymmetric two-center shell model. The deformation energy is computed in the microscopic–macroscopic approximation. The penetrabilities are obtained within the WKB approximation. The fine structure of the cluster decay analyzed in the frame of this formalism gives a very good agreement with the experimental ratio of partial half-lives for transition to the first excited state and to the ground state.
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12

Dashevskaya, Elena I., Evgeny E. Nikitin, and Hans-Jürgen Troe. "Uniform Airy Approximation for Nonadiabatic Transitions in a Curve-Crossing Weak-Coupling Case." Zeitschrift für Physikalische Chemie 232, no. 3 (2018): 311–23. http://dx.doi.org/10.1515/zpch-2017-1025.

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AbstractThis work suggests a connection between Landau-Zener transition probabilities between two crossing potentials in the classically accessible WKB regime and Landau-Lifshitz transition probabilities in the classically inaccessible WKB regime. It is based on the uniform Airy (UAi) approximation which represents a generalization of quantum transition probabilities for linear crossing potentials with constant coupling. The performance of the UAi approximation is tested by comparison with distorted-wave probabilities for an exponential potential model and illustrated for potentials that determine the intersection of twoab initiovibronic potential surfaces of the NO-Ar system.
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13

JAKŠIĆ, V., and J. SEGERT. "EXPONENTIAL APPROACH TO THE ADIABATIC LIMIT AND THE LANDAU-ZENER FORMULA." Reviews in Mathematical Physics 04, no. 04 (1992): 529–74. http://dx.doi.org/10.1142/s0129055x92000224.

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We study the adiabatic limit for Hamiltonians with certain complex-analytic dependence on the time variable We show that the transition probability from a spectral band that is separated by gaps is exponentially small in the adiabatic parameter We find sufficient conditions for the Landau-Zener formula, and its generalization to nondiscrete spectrum, to bound the transition probability
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14

Faraj, Ali, and Shi Jin. "The Landau-Zener Transition and the Surface Hopping Method for the 2D Dirac Equation for Graphene." Communications in Computational Physics 21, no. 2 (2017): 313–57. http://dx.doi.org/10.4208/cicp.020515.250716a.

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AbstractA Lagrangian surface hopping algorithm is implemented to study the two dimensional massless Dirac equation for Graphene with an electrostatic potential, in the semiclassical regime. In this problem, the crossing of the energy levels of the system at Dirac points requires a particular treatment in the algorithm in order to describe the quantum transition—characterized by the Landau-Zener probability— between different energy levels. We first derive the Landau-Zener probability for the underlying problem, then incorporate it into the surface hopping algorithm. We also show that different asymptotic models for this problem derived in [O. Morandi, F. Schurrer, J. Phys. A:Math. Theor. 44 (2011) 265301]may give different transition probabilities. We conduct numerical experiments to compare the solutions to the Dirac equation, the surface hopping algorithm, and the asymptotic models of [O. Morandi, F. Schurrer, J. Phys. A: Math. Theor. 44 (2011) 265301].
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15

Liu, Xuan-Zuo, Dong-Ping Tian, and Bo Chong. "Transition time of nonlinear Landau–Zener model in adiabatic limit." Modern Physics Letters B 30, no. 15 (2016): 1650194. http://dx.doi.org/10.1142/s0217984916501943.

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The impact of nonlinear interaction on the loop structure of lower energy level and on the time evolution curve of canonical momentum which corresponds to the lower eigenstate are analyzed respectively. We find that the curve changes from single-valued to multi-valued as nonlinear interaction grows. The fascinating part is that the time range delimited by turning points in the loop of energy level and the period between two inflexion points on the multi-valued part of the evolution curve of canonical momentum are the same. Therefore, we propose a characteristic time in the transition process of nonlinear Landau–Zener model in adiabatic limit. Last, the physical meaning of the transition time as a measure of how much time the system experiences a structural change which directly results in the breakdown of adiabaticity is discussed.
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16

Xie, Rui-Hua, and Paul Brumer. "Quantum Reflection of Ultracold Atoms in Magnetic Traps." Zeitschrift für Naturforschung A 54, no. 3-4 (1999): 167–70. http://dx.doi.org/10.1515/zna-1999-3-401.

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Ultracold neutral atoms can be trapped in spatially inhomogeneous magnetic fields. In this paper, we present a theoretical model and demonstrate by using Landau-Zener tool that if the magnetic resonant transition region is very narrow, "potential barriers" appear and quantum reflection of such ultracold atoms can be observed in this region.
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17

Imanishi, B., W. von Oertzen, and H. Voit. "Definite evidence of the Landau-Zener transition in nucleus-nucleus collisions." Physical Review C 35, no. 1 (1987): 359–62. http://dx.doi.org/10.1103/physrevc.35.359.

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18

Ishkhanyan, Artur, Juha Javanainen, and Hiroki Nakamura. "Landau–Zener transition in photoassociation of cold atoms: strong interaction limit." Journal of Physics A: Mathematical and General 39, no. 48 (2006): 14887–93. http://dx.doi.org/10.1088/0305-4470/39/48/004.

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19

Lin, J., and N. A. Sinitsyn. "Exact transition probabilities in the three-state Landau–Zener–Coulomb model." Journal of Physics A: Mathematical and Theoretical 47, no. 1 (2013): 015301. http://dx.doi.org/10.1088/1751-8113/47/1/015301.

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20

Maroufian, Aarash, and Mehdi Hosseini. "The investigation of Landau – Zener transition in coupled three-particle systems." Optik 201 (January 2020): 163520. http://dx.doi.org/10.1016/j.ijleo.2019.163520.

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21

BASKOUTAS, S., A. JANNUSSIS, and R. MIGNANI. "LANDAU–ZENER-LIKE TRANSITIONS OF A DRIVEN CALDIROLA–KANAI OSCILLATOR." Modern Physics Letters A 10, no. 03 (1995): 219–26. http://dx.doi.org/10.1142/s0217732395000259.

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We discuss the generalized tunneling through a dynamical barrier for a damped and forced oscillator of the Caldirola–Kanai type. The Landau–Zener-like probability transition from the oscillator ground state to the nth energy level is exactly evaluated by using the Wei–Norman algebraic form of the time evolution operator. Considering a specific example, we show that an increase of the friction parameter γ implies a decrease of the occupation probability.
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22

Ota, Takeshi, Kenichi Hitachi, Koji Muraki, and Toshimasa Fujisawa. "Dissipative Landau–Zener transition in double quantum dot under sinusoidal potential modulation." Applied Physics Express 10, no. 11 (2017): 115201. http://dx.doi.org/10.7567/apex.10.115201.

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23

Dou, Fu-Quan, Sheng-Chang Li, and Hui Cao. "Combined effects of particle interaction and nonlinear sweep on Landau–Zener transition." Physics Letters A 376, no. 1 (2011): 51–55. http://dx.doi.org/10.1016/j.physleta.2011.10.034.

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24

Ishkhanyan, A. M. "Generalized formula for the Landau-Zener transition in interacting Bose-Einstein condensates." EPL (Europhysics Letters) 90, no. 3 (2010): 30007. http://dx.doi.org/10.1209/0295-5075/90/30007.

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25

Liu, Yuanxing, Yunquan Liu, and Qihuang Gong. "Control of Landau-Zener transition in NaI predissociation with chirped femtosecond laser pulses." EPL (Europhysics Letters) 101, no. 6 (2013): 68006. http://dx.doi.org/10.1209/0295-5075/101/68006.

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26

Sinitsyn, N. A. "Exact transition probabilities in a 6-state Landau–Zener system with path interference." Journal of Physics A: Mathematical and Theoretical 48, no. 19 (2015): 195305. http://dx.doi.org/10.1088/1751-8113/48/19/195305.

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27

Kobayashi, Hiroto, Naomichi Hatano, and Seiji Miyashita. "Non-adiabatic transition in spin-boson model and generalization of the Landau–Zener formula." Physica A: Statistical Mechanics and its Applications 265, no. 3-4 (1999): 565–83. http://dx.doi.org/10.1016/s0378-4371(98)00475-0.

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28

Xu, Jian. "Probing the Energy Spectrum in the Vicinity of Dirac Points with Landau—Zener Transition." Communications in Theoretical Physics 62, no. 3 (2014): 343–47. http://dx.doi.org/10.1088/0253-6102/62/3/09.

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29

Hari, Lysianne. "PROPAGATION OF SEMICLASSICAL WAVE PACKETS THROUGH AVOIDED EIGENVALUE CROSSINGS IN NONLINEAR SCHRÖDINGER EQUATIONS." Journal of the Institute of Mathematics of Jussieu 15, no. 2 (2014): 319–65. http://dx.doi.org/10.1017/s1474748014000346.

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We study the propagation of wave packets for a one-dimensional system of two coupled Schrödinger equations with a cubic nonlinearity, in the semiclassical limit. Couplings are induced by the nonlinearity and by the potential, whose eigenvalues present anavoided crossing: at one given point, the gap between them reduces as the semiclassical parameter becomes smaller. For data which are coherent states polarized along an eigenvector of the potential, we prove that when the wave function propagates through the avoided crossing point there are transitions between the eigenspaces at leading order. We analyze the nonlinear effects, which are noticeable away from the crossing point, but see that in a small time interval around this point the nonlinearity’s role is negligible at leading order, and the transition probabilities can be computed with the linear Landau–Zener formula.
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30

Diffo, J. T., M. E. Ateuafack, G. C. Fouokeng, L. C. Fai, and M. Tchoffo. "Interplay between Landau-Zener transition dynamic and quantum phase transition in dissipative spin chain with Dzyaloshinsky-Moriya interaction." Superlattices and Microstructures 111 (November 2017): 310–18. http://dx.doi.org/10.1016/j.spmi.2017.06.044.

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31

Zhu, Chaoyuan, and Hiroki Nakamura. "Theory of nonadiabatic transition for general two‐state curve crossing problems. II. Landau–Zener case." Journal of Chemical Physics 102, no. 19 (1995): 7448–61. http://dx.doi.org/10.1063/1.469057.

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32

ZHEN, YIN. "DYNAMIC THEORY OF ELECTRON TRANSFER PROCESS." Modern Physics Letters B 02, no. 05 (1988): 743–52. http://dx.doi.org/10.1142/s0217984988000448.

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Based on time-dependent Hartree-Fork approximation, we have developed a new technique for dealing with non-adiabatic electron transfer process and also obtained the formula for finding consistently the effective adiabatic parameter and the transition probability. Comparing to Landau-Zener theory our results indicate that the transition probability is greatly influenced by the coupling between the electron and the heat-bath. As the initial state of the electron is in the ground state, interaction between the electron and the heat-bath reduces the transition probability between the electron states. This can be explained that the transition probability from covalent to ionic state in a solute reaction system goes down due to the influence of the solvent. As the initial state of the electron is in the excited state, the coupling to the heat-bath acts to enhance the transition probability between the electron states. This can elucidate that desorption probability decreases in the process of the electron stimulated desorption in virtue of the heat-bath.
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33

Fouokeng, G. C., M. Tchoffo, S. Moussiliou, J. C. Ngana Kuetche, Lukong Cornelius Fai, and Massou Siaka. "Effect of Noise on the Decoherence of a Central Electron Spin Coupled to an Antiferromagnetic Spin Bath." Advances in Condensed Matter Physics 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/526205.

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We analyze the influence of a two-state autocorrelated noise on the decoherence and on the tunneling Landau-Zener (LZ) transitions during a two-level crossing of a central electron spin (CES) coupled to a one dimensional anisotropic-antiferomagnetic spin, driven by a time-dependent global external magnetic field. The energy splitting of the coupled spin system is found through an approach that computes the noise-averaged frequency. At low magnetic field intensity, the decoherence (or entangled state) of a coupled spin system is dominated by the noise intensity. The effects of the magnetic field pulse and the spin gap antiferromagnetic material used suggest to us that they may be used as tools for the direct observation of the tunneling splitting through the LZ transitions in the sudden limit. We found that the dynamical frequencies display basin-like behavior decay with time, with the birth of entanglement, while the LZ transition probability shows Gaussian shape.
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34

Jipdi, M. N., L. C. Fai, and M. Tchoffo. "Spin-orbital coupling and coloured noise assisted Landau-Zener (LZ) transition in a quantum dot (QD)." Superlattices and Microstructures 100 (December 2016): 833–41. http://dx.doi.org/10.1016/j.spmi.2016.10.039.

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35

Sahakyan, N., H. Azizbekyan, H. Ishkhanyan, R. Sokhoyan, and A. Ishkhanyan. "Weak coupling regime of the Landau-Zener transition for association of an atomic Bose-Einstein condensate." Laser Physics 20, no. 1 (2009): 291–97. http://dx.doi.org/10.1134/s1054660x10010184.

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36

Wang, L. C., X. L. Huang, and X. X. Yi. "Landau-Zener transition of a two-level system driven by spin chains near their critical points." European Physical Journal D 46, no. 2 (2007): 345–49. http://dx.doi.org/10.1140/epjd/e2007-00286-2.

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37

Sun, Guozhu, Xueda Wen, Yiwen Wang, et al. "Population inversion induced by Landau–Zener transition in a strongly driven rf superconducting quantum interference device." Applied Physics Letters 94, no. 10 (2009): 102502. http://dx.doi.org/10.1063/1.3093823.

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38

Danga, J. E., S. C. Kenfack, and L. C. Fai. "Quantum wire and magnetic control of a spin qubit in the Landau–Zener–Stückelberg interferometry transition." Journal of Physics A: Mathematical and Theoretical 49, no. 19 (2016): 195306. http://dx.doi.org/10.1088/1751-8113/49/19/195306.

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39

Kar, Satyaki. "Quantum oscillation and Landau–Zener transition in untilted nodal line semimetals under a time-periodic magnetic field." Journal of Physics: Condensed Matter 33, no. 22 (2021): 225601. http://dx.doi.org/10.1088/1361-648x/abe8a2.

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40

Barklem, P. S. "Excitation and charge transfer in low-energy hydrogen atom collisions with neutral oxygen." Astronomy & Astrophysics 610 (February 2018): A57. http://dx.doi.org/10.1051/0004-6361/201731968.

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Excitation and charge transfer in low-energy O+H collisions is studied; it is a problem of importance for modelling stellar spectra and obtaining accurate oxygen abundances in late-type stars including the Sun. The collisions have been studied theoretically using a previously presented method based on an asymptotic two-electron linear combination of atomic orbitals (LCAO) model of ionic-covalent interactions in the neutral atom-hydrogen-atom system, together with the multichannel Landau-Zener model. The method has been extended to include configurations involving excited states of hydrogen using an estimate for the two-electron transition coupling, but this extension was found to not lead to any remarkably high rates. Rate coefficients are calculated for temperatures in the range 1000–20 000 K, and charge transfer and (de)excitation processes involving the first excited S-states, 4s.5So and 4s.3So, are found to have the highest rates.
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41

Miao, Kevin C., Alexandre Bourassa, Christopher P. Anderson, et al. "Electrically driven optical interferometry with spins in silicon carbide." Science Advances 5, no. 11 (2019): eaay0527. http://dx.doi.org/10.1126/sciadv.aay0527.

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Interfacing solid-state defect electron spins to other quantum systems is an ongoing challenge. The ground-state spin’s weak coupling to its environment not only bestows excellent coherence properties but also limits desired drive fields. The excited-state orbitals of these electrons, however, can exhibit stronger coupling to phononic and electric fields. Here, we demonstrate electrically driven coherent quantum interference in the optical transition of single, basally oriented divacancies in commercially available 4H silicon carbide. By applying microwave frequency electric fields, we coherently drive the divacancy’s excited-state orbitals and induce Landau-Zener-Stückelberg interference fringes in the resonant optical absorption spectrum. In addition, we find remarkably coherent optical and spin subsystems enabled by the basal divacancy’s symmetry. These properties establish divacancies as strong candidates for quantum communication and hybrid system applications, where simultaneous control over optical and spin degrees of freedom is paramount.
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42

Ishkhanyan, A., R. Sokhoyan, K. A. Suominen, C. Leroy, and H. R. Jauslin. "Quadratic-nonlinear Landau-Zener transition for association of an atomic Bose-Einstein condensate with inter-particle elastic interactions included." European Physical Journal D 56, no. 3 (2009): 421–29. http://dx.doi.org/10.1140/epjd/e2009-00310-7.

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43

Long, Yong Qiang, Ping Liu, and Wei Min Zhang. "Phase Field Modeling of Recrystallization Grain Growth during Re-Aging Process in Cu-Ni-Si Alloy." Materials Science Forum 561-565 (October 2007): 1805–8. http://dx.doi.org/10.4028/www.scientific.net/msf.561-565.1805.

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The micro structural evolution and the mechanism of recrystallization grain growth were studied during re-aging process in Cu-Ni-Si alloy containing finely pre-aging δ-Ni2Si precipitates using computer simulations based on a diffuse-interface phase-field kinetic model. In this model, the temporal evolution of the spatially dependent field variables is determined by numerically solving the time-dependent Ginzburg-Landau (TDGL) equations for the structural variables. The simulation results quantify the effects of the precipitation on recrystallization. It is shown that the finely dispersed pre-aging δ-Ni2Si precipitates exert a strong pinning effect on the recrystallization grain boundaries. The recrystallization grain growth for r = 3 fa = 0.015 can be described as R =1.04∗t 0.33 at the beginning, followed by a gradual transition to growth stagnation. The final grain size follows a Zener type relation lim 0.49 1.41 a R r f =     for 0.01 ≤ fa ≤ 0.21 and r = 2.5 or 3.
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44

Mkam Tchouobiap, S. E., J. E. Danga, R. M. Keumo Tsiaze, and L. C. Fai. "Coherent nonlinear low-frequency Landau–Zener tunneling induced by magnetic control of a spin qubit in a quantum wire." International Journal of Quantum Information 16, no. 06 (2018): 1850049. http://dx.doi.org/10.1142/s0219749918500491.

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This paper presents nonlinear Landau–Zener (LZ) tunneling of an electron spin in an accelerating optical parabolic potential, manifested in a heterostructure quantum wire subjected to a periodic magnetic field comprising a spike and a homogeneous part. In this context, driving the two states of a pure nonlinear two-level quantum bit (qubit) system through an avoided level crossing can result in nontrivial dynamics, especially with and without considering a parabolic confinement potential characterized by a curvature confinement potential. We report two striking nonadiabatic and adiabatic scenarios in low modulation frequency limit which appear when such strength modulation occurs. Firstly, the changes of the amplitude of the driving field without considering a parabolic confinement potential act as a perturbation which mixes the spin states. Here, the dynamical evolution of the tunneling probabilities of the nonadiabatic populations under investigation is analyzed. Secondly, for strong fields and strong dependence of a parabolic confinement potential, the two diabatic states do not cross but present anti-crossing phenomenon as the time tends to infinity, describing an adiabatic transition. However, if the field strength in a wire is weak enough, the level separation of a qubit state switches abruptly around the crossing point, and LZ tunneling applies to the whole dynamical range, from adiabatic to fully nonadiabatic crossing. Locally, the tunneling process can be seen as a two-level system (TLS) undergoing a Rabi oscillation. These results open new prospects for the use of quantum interferences in spin–based devices.
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45

TAILLEUX, RÉMI, and JAMES C. McWILLIAMS. "Energy propagation of long extratropical Rossby waves over slowly varying zonal topography." Journal of Fluid Mechanics 473 (December 10, 2002): 295–319. http://dx.doi.org/10.1017/s0022112002002422.

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In classical WKB theory the only way wave energy density, as a surrogate for wave action density, can increase or decrease along a ray is as a result of the ray focusing or widening. This occurs when the group velocity is divergent. There are particular regions, however, where the wave can resonantly exchange action with another wave mode with approximately the same wavenumbers; a situation known as Landau–Zener transition, mode conversion, linear (adiabatic) resonance, etc. This effect invalidates locally the underlying assumption of WKB theory that no scattering of energy occurs between WKB wave modes. In this paper this effect is investigated theoretically for free long baroclinic Rossby waves in a two-layer planetary geostrophic model of the ocean with a purely zonal topography, here taken as a Gaussian ridge. The waves are excited along the east coast by an unspecified wavemaker at a fixed frequency ω. In the computation considered, mode conversion is found to occur principally near the ridge’s top and on the eastern flank. The predictions of mode conversion theory are tested against the results of direct numerical simulations. This shows excellent agreement, both for the locations of mode conversion points, and for the amplitude of the transmitted and converted WKB wave modes.
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46

Larson, Jonas. "Interaction-induced Landau-Zener transitions." EPL (Europhysics Letters) 107, no. 3 (2014): 30007. http://dx.doi.org/10.1209/0295-5075/107/30007.

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47

Waxman, D. "Perturbative Approach to Landau-Zener Transitions." Annals of Physics 236, no. 1 (1994): 205–16. http://dx.doi.org/10.1006/aphy.1994.1110.

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48

Shimshoni, Efrat, and Ady Stern. "Dephasing of interference in Landau-Zener transitions." Physical Review B 47, no. 15 (1993): 9523–36. http://dx.doi.org/10.1103/physrevb.47.9523.

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49

Fraas, Martin, and Lisa Hänggli. "On Landau–Zener Transitions for Dephasing Lindbladians." Annales Henri Poincaré 18, no. 7 (2017): 2447–65. http://dx.doi.org/10.1007/s00023-017-0567-0.

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50

Betthausen, C., T. Dollinger, H. Saarikoski, et al. "Spin-Transistor Action via Tunable Landau-Zener Transitions." Science 337, no. 6092 (2012): 324–27. http://dx.doi.org/10.1126/science.1221350.

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