Non-equilibrium quantum spin dynamics from classical stochastic processes

S. De Nicola, B. Doyon, M.J. Bhaseen, Journal of Statistical Mechanics: Theory and Experiment 2020 (2020).

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Journal Article | Published | English

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Author
De Nicola, StefanoIST Austria; Doyon, B.; Bhaseen, M. J.
Department
Abstract
Following on from our recent work, we investigate a stochastic approach to non-equilibrium quantum spin systems. We show how the method can be applied to a variety of physical observables and for different initial conditions. We provide exact formulae of broad applicability for the time-dependence of expectation values and correlation functions following a quantum quench in terms of averages over classical stochastic processes. We further explore the behavior of the classical stochastic variables in the presence of dynamical quantum phase transitions, including results for their distributions and correlation functions. We provide details on the numerical solution of the associated stochastic differential equations, and examine the growth of fluctuations in the classical description. We discuss the strengths and limitations of the current implementation of the stochastic approach and the potential for further development.
Publishing Year
Date Published
2020-01-22
Journal Title
Journal of Statistical Mechanics: Theory and Experiment
Volume
2020
Issue
1
Article Number
013106
eISSN
IST-REx-ID

Cite this

De Nicola S, Doyon B, Bhaseen MJ. Non-equilibrium quantum spin dynamics from classical stochastic processes. Journal of Statistical Mechanics: Theory and Experiment. 2020;2020(1). doi:10.1088/1742-5468/ab6093
De Nicola, S., Doyon, B., & Bhaseen, M. J. (2020). Non-equilibrium quantum spin dynamics from classical stochastic processes. Journal of Statistical Mechanics: Theory and Experiment, 2020(1). https://doi.org/10.1088/1742-5468/ab6093
De Nicola, Stefano, B. Doyon, and M. J. Bhaseen. “Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes.” Journal of Statistical Mechanics: Theory and Experiment 2020, no. 1 (2020). https://doi.org/10.1088/1742-5468/ab6093.
S. De Nicola, B. Doyon, and M. J. Bhaseen, “Non-equilibrium quantum spin dynamics from classical stochastic processes,” Journal of Statistical Mechanics: Theory and Experiment, vol. 2020, no. 1, 2020.
De Nicola S, Doyon B, Bhaseen MJ. 2020. Non-equilibrium quantum spin dynamics from classical stochastic processes. Journal of Statistical Mechanics: Theory and Experiment. 2020(1).
De Nicola, Stefano, et al. “Non-Equilibrium Quantum Spin Dynamics from Classical Stochastic Processes.” Journal of Statistical Mechanics: Theory and Experiment, vol. 2020, no. 1, 013106, IOP Publishing, 2020, doi:10.1088/1742-5468/ab6093.
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