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Stochastic approach to non-equilibrium quantum spin systems

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Original languageEnglish
Article number05LT02
Number of pages10
JournalJournal Of Physics A-Mathematical And Theoretical
Issue number5
Accepted/In press19 Dec 2018
Published10 Jan 2019


King's Authors


We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as averages over classical stochastic processes. We illustrate this approach for the quantum Ising model by extracting the Loschmidt amplitude and the magnetization dynamics from the numerical solution of stochastic differential equations. We show that dynamical quantum phase transitions following quantum quenches from the ferromagnetic ground state are accompanied by signatures in the classical distribution functions, including enhanced fluctuations. We demonstrate that the method is capable of handling integrable and non-integrable problems in a unified framework, including those in higher dimensions.

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