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Stochastic dissipative quantum spin chains (I) : Quantum fluctuating discrete hydrodynamics

Abstract : Motivated by the search for a quantum analogue of the macroscopic fluctuation theory, we study quantum spin chains dissipatively coupled to quantum noise. The dynamical processes are encoded in quantum stochastic differential equations. They induce dissipative friction on the spin chain currents. We show that, as the friction becomes stronger, the noise induced dissipative effects localize the spin chain states on a slow mode manifold, and we determine the effective stochastic quantum dynamics of these slow modes. We illustrate this approach by studying the quantum stochastic Heisenberg spin chain.
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https://hal-cea.archives-ouvertes.fr/cea-01626328
Contributor : Emmanuelle de Laborderie <>
Submitted on : Monday, October 30, 2017 - 4:05:23 PM
Last modification on : Tuesday, September 22, 2020 - 3:45:31 AM
Long-term archiving on: : Wednesday, January 31, 2018 - 12:58:40 PM

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  • HAL Id : cea-01626328, version 1
  • ARXIV : 1706.03984

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Michel Bauer, Denis Bernard, Tony Jin. Stochastic dissipative quantum spin chains (I) : Quantum fluctuating discrete hydrodynamics. 2017. ⟨cea-01626328⟩

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