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Journal articles on the topic 'Truncated Wigner'

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Author: Grafiati

Published: 4 June 2021

Last updated: 10 February 2022

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1

Klimov, A. B., I. Sainz, and J. L. Romero. "Truncated Wigner approximation as non-positive Kraus map." Physica Scripta 95, no. 7 (May 18, 2020): 074006. http://dx.doi.org/10.1088/1402-4896/ab8d53.

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2

Weber, T. A., and D. L. Pursey. "Scattering from a truncated von Neumann–Wigner potential." Physical Review A 57, no. 5 (May 1, 1998): 3534–45. http://dx.doi.org/10.1103/physreva.57.3534.

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3

Wurtz, Jonathan, Anatoli Polkovnikov, and Dries Sels. "Cluster truncated Wigner approximation in strongly interacting systems." Annals of Physics 395 (August 2018): 341–65. http://dx.doi.org/10.1016/j.aop.2018.06.001.

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4

Lang, Haifeng, Oriol Vendrell, and Philipp Hauke. "Generalized discrete truncated Wigner approximation for nonadiabatic quantum-classical dynamics." Journal of Chemical Physics 155, no. 2 (July 14, 2021): 024111. http://dx.doi.org/10.1063/5.0054696.

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5

Dujardin, Julien, Thomas Engl, Juan Diego Urbina, and Peter Schlagheck. "Describing many-body bosonic waveguide scattering with the truncated Wigner method." Annalen der Physik 527, no. 9-10 (September 29, 2015): 629–38. http://dx.doi.org/10.1002/andp.201500113.

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6

Sinatra, Alice, Carlos Lobo, and Yvan Castin. "The truncated Wigner method for Bose-condensed gases: limits of validity and applications." Journal of Physics B: Atomic, Molecular and Optical Physics 35, no. 17 (August 21, 2002): 3599–631. http://dx.doi.org/10.1088/0953-4075/35/17/301.

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7

Maruo, Daiki, Shoko Utsunomiya, and Yoshihisa Yamamoto. "Truncated Wigner theory of coherent Ising machines based on degenerate optical parametric oscillator network." Physica Scripta 91, no. 8 (July 26, 2016): 083010. http://dx.doi.org/10.1088/0031-8949/91/8/083010.

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8

Morales-Hernández, Giovani E., Juan C. Castellanos, José L. Romero, and Andrei B. Klimov. "Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems." Entropy 23, no. 6 (May 28, 2021): 684. http://dx.doi.org/10.3390/e23060684.

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We apply the semi-classical limit of the generalized SO(3) map for representation of variable-spin systems in a four-dimensional symplectic manifold and approximate their evolution terms of effective classical dynamics on T*S2. Using the asymptotic form of the star-product, we manage to “quantize” one of the classical dynamic variables and introduce a discretized version of the Truncated Wigner Approximation (TWA). Two emblematic examples of quantum dynamics (rotor in an external field and two coupled spins) are analyzed, and the results of exact, continuous, and discretized versions of TWA are compared.

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9

Tylutki, Marek, Jacek Dziarmaga, and Wojciech H. Zurek. "Dynamics of the Mott Insulator to Superfluid quantum phase transition in the truncated Wigner approximation." Journal of Physics: Conference Series 414 (February 8, 2013): 012029. http://dx.doi.org/10.1088/1742-6596/414/1/012029.

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10

Verstraelen, Wouter, and Michiel Wouters. "Gaussian Quantum Trajectories for the Variational Simulation of Open Quantum-Optical Systems." Applied Sciences 8, no. 9 (August 21, 2018): 1427. http://dx.doi.org/10.3390/app8091427.

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We construct a class of variational methods for the study of open quantum systems based on Gaussian ansatzes for the quantum trajectory formalism. Gaussianity in the conjugate position and momentum quadratures is distinguished from Gaussianity in density and phase. We apply these methods to a driven-dissipative Kerr cavity where we study dephasing and the stationary states throughout the bistability regime. Computational cost proves to be similar to the Truncated Wigner Approximation (TWA) method, with at most quadratic scaling in system size. Meanwhile, strong correspondence with the numerically-exact trajectory description is maintained so that these methods contain more information on the ensemble constitution than TWA and can be more robust.

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11

Czischek, Stefanie, Martin Gärttner, Markus Oberthaler, Michael Kastner, and Thomas Gasenzer. "Quenches near criticality of the quantum Ising chain—power and limitations of the discrete truncated Wigner approximation." Quantum Science and Technology 4, no. 1 (October 16, 2018): 014006. http://dx.doi.org/10.1088/2058-9565/aae3f7.

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12

Takasu, Yosuke, Tomoya Yagami, Hiroto Asaka, Yoshiaki Fukushima, Kazuma Nagao, Shimpei Goto, Ippei Danshita, and Yoshiro Takahashi. "Energy redistribution and spatiotemporal evolution of correlations after a sudden quench of the Bose-Hubbard model." Science Advances 6, no. 40 (September 2020): eaba9255. http://dx.doi.org/10.1126/sciadv.aba9255.

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An optical lattice quantum simulator is an ideal experimental platform to investigate nonequilibrium dynamics of a quantum many-body system, which is, in general, hard to simulate with classical computers. Here, we use our quantum simulator of the Bose-Hubbard model to study dynamics far from equilibrium after a quantum quench. We successfully confirm the energy conservation law in the one- and three-dimensional systems and extract the propagation velocity of the single-particle correlation in the one- and two-dimensional systems. We corroborate the validity of our quantum simulator through quantitative comparisons between the experiments and the exact numerical calculations in one dimension. In the computationally hard cases of two or three dimensions, by using the quantum-simulation results as references, we examine the performance of a numerical method, namely, the truncated Wigner approximation, revealing its usefulness and limitation. This work constitutes an exemplary case for the usage of analog quantum simulators.

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13

Drummond, P. D., S. Chaturvedi, K. Dechoum, and J. Comey. "Quantum Criticality." Zeitschrift für Naturforschung A 56, no. 1-2 (February 1, 2001): 133–39. http://dx.doi.org/10.1515/zna-2001-0120.

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Abstract We investigate the theory of quantum fluctuations in non-equilibrium systems having large critical fluctuations. This allows us to treat the limits imposed by nonlinearities to quantum squeezing and noise reduction, and also to envisage future tests of quantum theory in regions of macroscopic quantum fluctuations. A long-term objective of this research is to identify suitable physical systems in which macroscopic 'Schrödinger cat'-like behaviour may be observed. We investigate two systems in particular of much current experimental interest, namely the degenerate parametric oscillator near threshold, and the evaporatively cooled (BEC). We compare the results obtained in the positive-P representation, as a fully quantum mechanical calculation, with the truncated Wigner phase space equation, also known as semi-classical theory. We show when these results agree and differ in calculations taken beyond the linearized approximation. In the region where the largest quantum fluctuations and Schrödinger cat-like behaviour might be expected, we find that the quantum predictions correspond very closely to the semi-classical theory. Nature abhors observing a Schrödinger cat. -Pacs: 03.65.Bz

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14

Xiong, Bo, Tao Yang, and Keith A. Benedict. "Simulating quantum transport for a quasi-one-dimensional Bose gas in an optical lattice: the choice of fluctuation modes in the truncated Wigner approximation." Journal of Physics B: Atomic, Molecular and Optical Physics 46, no. 14 (July 5, 2013): 145307. http://dx.doi.org/10.1088/0953-4075/46/14/145307.

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15

OWENS, Raymond J., Cath CATTERALL, Dawn BATTY, John JAPPY, Annette RUSSELL, Bryan SMITH, Jimi O'CONNELL, and Martin J. PERRY. "Human phosphodiesterase 4A: characterization of full-length and truncated enzymes expressed in COS cells." Biochemical Journal 326, no. 1 (August 15, 1997): 53–60. http://dx.doi.org/10.1042/bj3260053.

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The type 4 phosphodiesterase (PDE) family comprises four enzymes (4A, 4B, 4C and 4D) that are characterized by their specificity for cAMP and selective inhibition by the antidepressant drug rolipram {4-[3-(cyclopentoxyl)-4-methoxyphenyl]2-pyrrolidone}. In common with other PDEs, they consist of a central conserved domain associated with catalytic activity in addition to two N-terminal upstream conserved regions (UCR1 and UCR2) that are unique to the type 4 enzymes. We have isolated a 2 kb cDNA encoding a full-length type 4A PDE {HS PDE4A4B [Bolger, Michaeli, Martins, St.John, Steiner, Rodgers, Riggs, Wigler and Ferguson (1993) Mol. Cell Biol. 13, 6558–6571]} from a human frontal cortex cDNA library. Northern blot analysis showed that the major PDE4A mRNA of 4.5 kb was widely distributed in different human tissues. The recombinant PDE4A expressed in COS cells had a molecular mass of approx. 117 kDa as revealed by SDS/PAGE/Western blotting with a PDE4A-specific antibody and was specific for cAMP with a Km of 4.8 μM. The enzyme activity was potently inhibited by R-rolipram (IC50 204 nM) and showed a 2.7-fold stereoselectivity over the S enantiomer. Analysis of the kinetics of inhibition indicated that R-rolipram did not behave as a simple competitive inhibitor. Dixon replots suggested that there was more than one mode of interaction consistent with the detection in the enzyme of a high-affinity binding site for R-rolipram with a Kd of 2.3 nM. Truncation of the PDE4A enzyme by deletion mutagenesis showed that neither of the UCRs was required for catalytic activity and identified an approx. 71 kDa core enzyme with a Km for cAMP of 3.3 μM. In contrast with the full-length PDE4A, R-rolipram behaved as a simple competitive inhibitor of this form of the enzyme with decreased potency (IC50 1022 nM) and no stereoselectivity. In addition, no high-affinity rolipram-binding site was detected in the truncated enzyme, indicating that this interaction involves sequences upstream of the catalytic domain of the enzyme.

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16

Sels, Dries, and Fons Brosens. "Variational truncated Wigner approximation." Physical Review E 89, no. 4 (April 2, 2014). http://dx.doi.org/10.1103/physreve.89.042107.

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17

Drummond, Peter D., and Bogdan Opanchuk. "Truncated Wigner dynamics and conservation laws." Physical Review A 96, no. 4 (October 18, 2017). http://dx.doi.org/10.1103/physreva.96.043616.

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18

Dujardin, Julien, Arturo Argüelles, and Peter Schlagheck. "Elastic and inelastic transmission in guided atom lasers: A truncated Wigner approach." Physical Review A 91, no. 3 (March 11, 2015). http://dx.doi.org/10.1103/physreva.91.033614.

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19

Norrie, A. A., R. J. Ballagh, C. W. Gardiner, and A. S. Bradley. "Three-body recombination of ultracold Bose gases using the truncated Wigner method." Physical Review A 73, no. 4 (April 27, 2006). http://dx.doi.org/10.1103/physreva.73.043618.

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20

Ivanov, Anton, and Heinz-Peter Breuer. "Quantum corrections of the truncated Wigner approximation applied to an exciton transport model." Physical Review E 95, no. 4 (April 10, 2017). http://dx.doi.org/10.1103/physreve.95.042115.

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21

Polkovnikov, Anatoli. "Quantum corrections to the dynamics of interacting bosons: Beyond the truncated Wigner approximation." Physical Review A 68, no. 5 (November 4, 2003). http://dx.doi.org/10.1103/physreva.68.053604.

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22

Sau, Jay D., S. R. Leslie, D. M. Stamper-Kurn, and Marvin L. Cohen. "Theory of domain formation in inhomogeneous ferromagnetic dipolar condensates within the truncated Wigner approximation." Physical Review A 80, no. 2 (August 27, 2009). http://dx.doi.org/10.1103/physreva.80.023622.

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23

Khasseh, Reyhaneh, Angelo Russomanno, Markus Schmitt, Markus Heyl, and Rosario Fazio. "Discrete truncated Wigner approach to dynamical phase transitions in Ising models after a quantum quench." Physical Review B 102, no. 1 (July 6, 2020). http://dx.doi.org/10.1103/physrevb.102.014303.

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24

Berg, B., L. I. Plimak, A. Polkovnikov, M. K. Olsen, M. Fleischhauer, and W. P. Schleich. "Commuting Heisenberg operators as the quantum response problem: Time-normal averages in the truncated Wigner representation." Physical Review A 80, no. 3 (September 29, 2009). http://dx.doi.org/10.1103/physreva.80.033624.

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25

Huber, Julian, Peter Kirton, and Peter Rabl. "Phase-space methods for simulating the dissipative many-body dynamics of collective spin systems." SciPost Physics 10, no. 2 (February 22, 2021). http://dx.doi.org/10.21468/scipostphys.10.2.045.

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We describe an efficient numerical method for simulating the dynamics and steady states of collective spin systems in the presence of dephasing and decay. The method is based on the Schwinger boson representation of spin operators and uses an extension of the truncated Wigner approximation to map the exact open system dynamics onto stochastic differential equations for the corresponding phase space distribution. This approach is most effective in the limit of very large spin quantum numbers, where exact numerical simulations and other approximation methods are no longer applicable. We benchmark this numerical technique for known superradiant decay and spin-squeezing processes and illustrate its application for the simulation of non-equilibrium phase transitions in dissipative spin lattice models.

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26

Isella, L., and J. Ruostekoski. "Quantum dynamics in splitting a harmonically trapped Bose-Einstein condensate by an optical lattice: Truncated Wigner approximation." Physical Review A 74, no. 6 (December 22, 2006). http://dx.doi.org/10.1103/physreva.74.063625.

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27

Chrétien, Renaud, and Peter Schlagheck. "Inversion of coherent backscattering with interacting Bose-Einstein condensates in two-dimensional disorder: A truncated Wigner approach." Physical Review A 103, no. 3 (March 22, 2021). http://dx.doi.org/10.1103/physreva.103.033319.

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28

Sundararaman, Ravishankar, and T. A. Arias. "Regularization of the Coulomb singularity in exact exchange by Wigner-Seitz truncated interactions: Towards chemical accuracy in nontrivial systems." Physical Review B 87, no. 16 (April 17, 2013). http://dx.doi.org/10.1103/physrevb.87.165122.

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29

Kunimi, Masaya, Kazuma Nagao, Shimpei Goto, and Ippei Danshita. "Performance evaluation of the discrete truncated Wigner approximation for quench dynamics of quantum spin systems with long-range interactions." Physical Review Research 3, no. 1 (January 19, 2021). http://dx.doi.org/10.1103/physrevresearch.3.013060.

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30

Pappalardi, Silvia, Anatoli Polkovnikov, and Alessandro Silva. "Quantum echo dynamics in the Sherrington-Kirkpatrick model." SciPost Physics 9, no. 2 (August 19, 2020). http://dx.doi.org/10.21468/scipostphys.9.2.021.

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Understanding the footprints of chaos in quantum-many-body systems has been under debate for a long time. In this work, we study the echo dynamics of the Sherrington-Kirkpatrick (SK) model with transverse field under effective time reversal. We investigate numerically its quantum and semiclassical dynamics. We explore how chaotic many-body quantum physics can lead to exponential divergence of the echo of observables and we show that it is a result of three requirements: i) the collective nature of the observable, ii) a properly chosen initial state and iii) the existence of a well-defined chaotic semi-classical (large-N) limit. Under these conditions, the echo grows exponentially up to the Ehrenfest time, which scales logarithmically with the number of spins N. In this regime, the echo is well described by the semiclassical (truncated Wigner) approximation. We also discuss a short-range version of the SK model, where the Ehrenfest time does not depend on N and the quantum echo shows only polynomial growth. Our findings provide new insights on scrambling and echo dynamics and how to observe it experimentally.

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