Fluctuation-Dissipation Relation from the Nonequilibrium Dynamics of a
Nonlinear Open Quantum System
- URL: http://arxiv.org/abs/2002.07694v1
- Date: Tue, 18 Feb 2020 16:18:25 GMT
- Title: Fluctuation-Dissipation Relation from the Nonequilibrium Dynamics of a
Nonlinear Open Quantum System
- Authors: Jen-Tsung Hsiang, Bei-Lok Hu
- Abstract summary: We show that equilibration implies an FDR for the anharmonic oscillator.
We show that the net energy exchange vanishes after relaxation in the open system dynamics.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Continuing our inquiry into the conditions when fluctuation-dissipation
relations (FDR) may appear in the context of nonequilibrium dynamics of open
quantum systems (over and beyond the conventional FDR from linear response
theory) we turn to nonGaussian systems and consider this issue for an
anharmonic oscillator interacting with a scalar quantum field bath. We present
the general {nonperturbative} expressions for the rate of energy (power)
exchange between the anharmonic oscillator and the thermal bath. For the cases
that a stable final equilibrium state exists, and the nonstationary components
of the two-point functions of the anharmonic oscillator have negligible
contributions to the evaluation of the power balance, we can show
nonperturbatively that equilibration implies an FDR for the anharmonic
oscillator. We then use a weakly anharmonic oscillator as an example to
illustrate that those two assumptions indeed are satisfied according to our
first-order perturbative results: that the net energy exchange vanishes after
relaxation in the open system dynamics and an equilibrium state exists at late
times.
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