# Nonequilibrium potential and fluctuation theorems for quantum maps.

@article{Manzano2015NonequilibriumPA, title={Nonequilibrium potential and fluctuation theorems for quantum maps.}, author={Gonzalo Manzano and Jordan M. Horowitz and Juan M R Parrondo}, journal={Physical review. E, Statistical, nonlinear, and soft matter physics}, year={2015}, volume={92 3}, pages={ 032129 } }

We derive a general fluctuation theorem for quantum maps. The theorem applies to a broad class of quantum dynamics, such as unitary evolution, decoherence, thermalization, and other types of evolution for quantum open systems. The theorem reproduces well-known fluctuation theorems in a single and simplified framework and extends the Hatano-Sasa theorem to quantum nonequilibrium processes. Moreover, it helps to elucidate the physical nature of the environment that induces a given dynamics in an…

## 70 Citations

### Fluctuation Theorems for Quantum Maps

- Physics
- 2018

Part II of the thesis has been devoted to the study of dynamical properties of dissipative quantum many-body systems, where we employed open quantum system theory and its related quantum information…

### Symmetry-induced fluctuation relations in open quantum systems.

- PhysicsPhysical review. E
- 2021

We derive a general scheme to obtain quantum fluctuation relations for dynamical observables in open quantum systems. For concreteness, we consider Markovian nonunitary dynamics that is unraveled in…

### Quantum Fluctuation Theorems for Arbitrary Environments: Adiabatic and Nonadiabatic Entropy Production

- PhysicsPhysical Review X
- 2018

We analyze the production of entropy along nonequilibrium processes in quantum systems coupled to generic environments. First, we show that the entropy production due to final measurements and the…

### Fluctuation-dissipation theorem for non-equilibrium quantum systems

- Physics
- 2017

The fluctuation-dissipation theorem (FDT) is a central result in statistical physics, both for classical and quantum systems. It establishes a relationship between the linear response of a system…

### Quantum Fluctuation Theorems

- Physics
- 2018

Recent advances in experimental techniques allow one to measure and control systems at the level of single molecules and atoms. Here gaining information about fluctuating thermodynamic quantities is…

### Fluctuation Theorems for a Quantum Channel

- PhysicsPhysical Review X
- 2019

We establish the general framework of quantum fluctuation theorems by finding the symmetry between the forward and backward transitions of any given quantum channel. The Petz recovery map is adopted…

### Quantum Martingale Theory and Entropy Production.

- PhysicsPhysical review letters
- 2019

This work identifies a decomposition of entropy production into an exponential martingale and a purely quantum term, both obeying integral fluctuation theorems, and complements the general formalism with numerical simulations of a qubit system.

### Information fluctuation theorem for an open quantum bipartite system.

- PhysicsPhysical review. E
- 2020

This work presents a fluctuation theorem (FT) that explicitly addresses the quantum correlation of subsystems during the thermodynamic evolution and derives a FT in such a form that relates the entropy production of local systems in the time-forward transition to the change of quantum correlation in theTime-reversed transition.

### Fluctuation theorems for continuous quantum measurements and absolute irreversibility

- PhysicsPhysical Review A
- 2019

Fluctuation theorems are relations constraining the out-of-equilibrium fluctuations of thermodynamic quantities like the entropy production that were initially introduced for classical or quantum…

### A quantum ﬂuctuation theorem for dissipative processes

- Physics, Mathematics
- 2022

We present a general quantum ﬂuctuation theorem for the entropy production of an open quantum system coupled to multiple environments, not necessarily at equilibrium. Such a general theorem, when…

## References

SHOWING 1-10 OF 63 REFERENCES

### Theory of open quantum systems

- Physics
- 2002

A quantum dissipation theory is constructed with the system–bath interaction being treated rigorously at the second-order cumulant level for both reduced dynamics and initial canonical boundary…

### Quantum signatures of chaos

- Physics
- 1991

The distinction between level clustering and level repulsion is one of the quantum analogues of the classical distinction between globally regular and predominantly chaotic motion (see Figs. 1, 2,…

### Lectures on quantum computing, thermodynamics and statistical physics

- Physics
- 2012

This book is a collection of lecture notes from the Symposium on Quantum Computing, Thermodynamics, and Statistical Physics, held at Kinki University in March 2012. Quantum information theory has a…

### Open Quantum Systems: An Introduction

- Physics
- 2011

Introduction.- Mathematical tools.- Time evolution in closed quantum systems.- Time evolution in open quantum systems.- Quantum Markov process: mathematical structure.- Microscopic description:…

### Quantum Measurement and Control

- Physics
- 2010

In the last two decades there has been an enormous progress in the experimental investigation of single quantum systems. This progress covers fields such as quantum optics, quantum computation,…

### IL-13受体α2降低血吸虫病肉芽肿的炎症反应并延长宿主存活时间[英]/Mentink-Kane MM,Cheever AW，Thompson RW，et al//Proc Natl Acad Sci U S A

- Biology
- 2005

入侵病原体与宿主之间呈动态平衡，以维持病原体成功地寄生在宿主体内而不致宿主死亡，这是许多寄生虫感染的一个重要特征。包括曼氏血吸虫在内的许多蠕虫感染中，持续的炎症反应比病原体本身对宿主的危害更大，降低宿主的免疫反应具有重要意义。曼氏血吸虫感染后，宿主活化CD4^＋Th2细胞，分泌IL-4、IL-5和IL-13。最近研究表明IL-13是肝组织纤维化的重要调节因子。

### Infin

- Dimens. Anal. Quantum. Probab. Relat. Top. 10, 335
- 2007

### New J Phys 15

- 085028
- 2013

### in Lectures on quantum computing

- thermodynamics and statistical physics, edited by M. Nakahara
- 2013

### Rev Mod Phys 83

- 771
- 2011