Time-evolving Weiss fields in the stochastic approach to quantum spins

S. E. Begg; A. G. Green; M. J. Bhaseen

doi:10.1103/PhysRevB.104.024408

Time-evolving Weiss fields in the stochastic approach to quantum spins

S. E. Begg, A. G. Green, M. J. Bhaseen

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

We investigate nonequilibrium quantum spin systems via an exact mapping to stochastic differential equations. This description is invariant under a shift in the mean of the Gaussian noise. We show that one can extend the simulation time for real-time dynamics in one and two dimensions by a judicious choice of this shift. This can be updated dynamically in order to reduce the impact of stochastic fluctuations. We discuss the connection to drift gauges in the gauge-P literature.

Original language	English
Article number	024408
Journal	Physical Review B
Volume	104
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevB.104.024408
Publication status	Published - 1 Jul 2021

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10.1103/PhysRevB.104.024408

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title = "Time-evolving Weiss fields in the stochastic approach to quantum spins",

abstract = "We investigate nonequilibrium quantum spin systems via an exact mapping to stochastic differential equations. This description is invariant under a shift in the mean of the Gaussian noise. We show that one can extend the simulation time for real-time dynamics in one and two dimensions by a judicious choice of this shift. This can be updated dynamically in order to reduce the impact of stochastic fluctuations. We discuss the connection to drift gauges in the gauge-P literature.",

author = "Begg, {S. E.} and Green, {A. G.} and Bhaseen, {M. J.}",

note = "Funding Information: We acknowledge helpful discussions with F. Barratt and S. De Nicola. M.J.B. acknowledges stimulating conversations with D. O'Dell and S. W{\"u}ster at the ICTS (Bengaluru) program on Non-Hermitian Physics PHHQP XVIII. S.E.B. is supported by the EPSRC CDT in Cross-Disciplinary Approaches to Non-Equilibrium Systems (CANES) via Grant No. EP/L015854/1. We are grateful to the UK Materials and Molecular Modelling Hub for computational resources, which is partially funded by EPSRC (Grant No. EP/P020194/1). The MPO calculations were performed using the ITensor Library . A.G.G. acknowledges EPSRC Grant No. EP/P013449/1. M.J.B. acknowledges the support of the London Mathematical Laboratory. Publisher Copyright: {\textcopyright} 2021 American Physical Society. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",

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doi = "10.1103/PhysRevB.104.024408",

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N2 - We investigate nonequilibrium quantum spin systems via an exact mapping to stochastic differential equations. This description is invariant under a shift in the mean of the Gaussian noise. We show that one can extend the simulation time for real-time dynamics in one and two dimensions by a judicious choice of this shift. This can be updated dynamically in order to reduce the impact of stochastic fluctuations. We discuss the connection to drift gauges in the gauge-P literature.

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Time-evolving Weiss fields in the stochastic approach to quantum spins

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