# Functional field integral approach to quantum work

@article{Dong2019FunctionalFI, title={Functional field integral approach to quantum work}, author={Jian-Jun Dong and Yi-feng Yang}, journal={Physical Review B}, year={2019} }

We introduce the functional field integral approach to study the statistics of quantum work for arbitrary nonequilibrium process. For a general bilinear Hamiltonian with a sudden quench of the control parameters, we derive the analytical formalism for the characteristic function, the mean work density and mean irreversible work density. We show that the mean irreversible work may be used to detect quantum phase transitions and exhibit characteristic scaling at the quantum critical point for a…

## 7 Citations

### Path-integral approach to the calculation of the characteristic function of work.

- 2020

Physics

Physical review. E

This study demonstrates the effectiveness of the path-integral approach for the calculation of work statistics in both quantum and classical thermodynamics, and brings important insights to the understanding of the trajectory work in quantum systems.

### Nonequilibrium Green's Function's Approach to the Calculation of Work Statistics.

- 2020

Physics

Physical review letters

This work proposes the contour-integral formulation for work statistics and shows how to do the perturbation expansion of the characteristic function of work and obtain the approximate expression of the CFW to the second order of the work parameter for an arbitrary system under a perturbative protocol.

### Phase transition in quantum tunneling and exact statistical mechanics for a model of parameterized double‐well potential

- 2020

Physics

Mathematical Methods in the Applied Sciences

A model for one‐dimensional bistable systems characterized by a deformable double‐well energy landscape is introduced in order to investigate the effect of shape deformability on the order of phase…

### Joint measurability in nonequilibrium quantum thermodynamics.

- 2022

Physics

Physical review. E

In this Letter we investigate the concept of quantum work and its measurability from the viewpoint of quantum measurement theory. Very often, quantum work and fluctuation theorems are discussed in…

### Joint measurability in non-equilibrium quantum thermodynamics

- 2021

Mathematics

Quantum work and fluctuation theorems are mostly discussed in the framework of projective two-point measurement (TPM) schemes. According to a well known no-go theorem, there is no work observable…

### Non-Gaussian work statistics at finite-time driving

- 2023

Physics

Physical Review A

We study properties of the work distribution of a many-body system driven through a quantum phase transition in ﬁnite time. We focus on the non-Gaussianity of the distribution, which we characterize…

### Work as an external quantum observable and an operational quantum work fluctuation theorem

- 2020

Physics

We propose a definition of externally measurable quantum work in driven systems. Work is given as a quantum observable on a control device which is forcing the system and can be determined without…

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