# A fluctuation theorem for Floquet quantum master equations

@article{Liu2020AFT, title={A fluctuation theorem for Floquet quantum master equations}, author={Fei Liu}, journal={Communications in Theoretical Physics}, year={2020}, volume={72} }

We present a fluctuation theorem for Floquet quantum master equations. This is a detailed version of the famous Gallavotti–Cohen theorem. In contrast to the latter theorem, which involves the probability distribution of the total heat current, the former involves the joint probability distribution of positive and negative heat currents and can be used to derive the latter. A quantum two-level system driven by a periodic external field is used to verify this result.

## References

SHOWING 1-10 OF 54 REFERENCES

### Fluctuation theorem for stochastic dynamics

- Mathematics
- 1998

The fluctuation theorem of Gallavotti and Cohen holds for finite systems undergoing Langevin dynamics. In such a context all non-trivial ergodic theory issues are bypassed, and the theorem takes a…

### Quantum jump approach for work and dissipation in a two-level system.

- PhysicsPhysical review letters
- 2013

The quantum jump approach is applied to address the statistics of work in a driven two-level system coupled to a heat bath and it is found that the common nonequilibrium fluctuation relations are satisfied identically.

### Quantum-trajectory approach to the stochastic thermodynamics of a forced harmonic oscillator.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2012

A quantum stochastic thermodynamics for the quantum trajectories of a continuously monitored forced harmonic oscillator coupled to a thermal reservoir is formulated and the connection between irreversibility and entropy production is analyzed and confirmed by proving a detailed fluctuation theorem for quantum trajectory.

### Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems

- Physics
- 2009

Fluctuation theorems (FTs), which describe some universal properties of nonequilibrium fluctuations, are examined from a quantum perspective and derived by introducing a two-point measurement on the…

### Quasistationary distributions of dissipative nonlinear quantum oscillators in strong periodic driving fields

- PhysicsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

Investigating the corresponding classical, nonlinear Hamiltonian system, one finds that in the semiclassical range essential features of the quasistationary distribution can be understood from the structure of the underlying classical phase space.

### Heat-exchange statistics in driven open quantum systems

- Physics
- 2014

As the dimensions of physical systems approach the nanoscale, the laws of thermodynamics must be reconsidered due to the increased importance of fluctuations and quantum effects. While the…

### A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics

- Mathematics
- 1999

We extend the work of Kurchan on the Gallavotti–Cohen fluctuation theorem, which yields a symmetry property of the large deviation function, to general Markov processes. These include jump processes…

### The Fluctuation Theorem as a Gibbs Property

- Mathematics
- 1999

Common ground to recent studies exploiting relations between dynamical systems and nonequilibrium statistical mechanics is, so we argue, the standard Gibbs formalism applied on the level of…

### STEADY STATE FLUCTUATIONS OF THE DISSIPATED HEAT FOR A QUANTUM STOCHASTIC MODEL

- Physics
- 2006

We introduce a quantum stochastic dynamics for heat conduction. A multi-level subsystem is coupled to reservoirs at different temperatures. Energy quanta are detected in the reservoirs allowing the…

### Stochastic thermodynamics of rapidly driven systems

- Physics
- 2014

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a…