Stochastic dissipative quantum spin chains (I) : Quantum fluctuating discrete hydrodynamics
Michel Bauer, Denis Bernard, Tony Jin
SciPost Phys. 3, 033 (2017) · published 4 November 2017
- doi: 10.21468/SciPostPhys.3.5.033
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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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Ontology / Topics
See full Ontology or Topics database.
Dissipation
Friction
Heisenberg spin chains
Hydrodynamics
Localization
Quantum noise
Quantum spin chains
Stochastic differential equations
Stochastic dynamics
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Michel Bauer,
- 1 Denis Bernard,
- 1 Tony Jin
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