Open Quantum Systems Coupled to Time-Dependent Classical Environments

Osmanov, Maksym; Öttinger, Hans Christian

doi:10.1007/s10765-013-1466-3

Cited by 3 publications

(1 citation statement)

References 19 publications

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“…While the reversible part is associated to the standard commutator of the density matrix with the system's Hamiltonian, the irreversible part leads to a term that is nonlinear in the density matrix but guarantees thermodynamic consistency and correct steady-state properties. This master equation was successfully applied to traditional open system scenarios, such as spontaneous decay of a two-level atom and the Caldeira-Legget model where numerical solutions were found by using deterministic integration methods for nonlinear equations as well as adaptations of stochastic unraveling [36][37][38][39][40]. Here, for the first time, we apply this framework to the study of dissipation in a many-body system, that is, and open spin chain described by the XXZ model.…”

Section: Introductionmentioning

confidence: 99%

Dissipation in spin chains using quantized nonequilibrium thermodynamics

Borrelli¹,

Öttinger²

2022

Preprint

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We investigate the dynamics of an open chain of interacting spins using the quantized version of the GENERIC equation from classical out-of-equilibrium thermodynamics. We focus on both equilibrium and nonequilibrium scenarios for chains consisting of few tens of spins. While in the equilibrium case we demonstrate thermal equilibration to the correct many-body Gibbs density matrix, in the nonequilibrium dynamics we show that the steady-state energy transport behaves diffusively, consistently with Fourier's law of heat transfer.

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Section: Introductionmentioning

confidence: 99%

Dissipation in spin chains using quantized nonequilibrium thermodynamics

Borrelli¹,

Öttinger²

2022

Preprint

Self Cite

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Dissipation in spin chains using quantized nonequilibrium thermodynamics

Borrelli

Öttinger

2022

Phys. Rev. A

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Irreversible dynamics, Onsager-Casimir symmetry, and an application to turbulence

Öttinger

2014

Phys. Rev. E

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Irreversible contributions to the dynamics of nonequilibrium systems can be formulated in terms of dissipative, or irreversible, brackets. We discuss the structure of such irreversible brackets in view of a degeneracy implied by energy conservation, where we consider different types of symmetries of the bracket corresponding to the Onsager and Casimir symmetries of linear irreversible thermodynamics. Slip and turbulence provide important examples of antisymmetric irreversible brackets and offer guidance for the more general modeling of irreversible dynamics without entropy production. Conversely, turbulence modeling could benefit from elucidating thermodynamic structure. The examples suggest constructing antisymmetric irreversible brackets in terms of completely antisymmetric functions of three indices. Irreversible brackets without well-defined symmetry properties can arise for rare events, causing big configurational changes.

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Open Quantum Systems Coupled to Time-Dependent Classical Environments

Cited by 3 publications

References 19 publications

Dissipation in spin chains using quantized nonequilibrium thermodynamics

Dissipation in spin chains using quantized nonequilibrium thermodynamics

Dissipation in spin chains using quantized nonequilibrium thermodynamics

Irreversible dynamics, Onsager-Casimir symmetry, and an application to turbulence

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