# Many-body work distributions

## TL;DR

This paper derives exact formulas for the work distribution in non-interacting quantum many-body systems under external classical influences, accounting for time-dependent frequencies and boundary movements.

## Contribution

It provides the first exact expressions for the characteristic function of work distributions in such systems, including arbitrary switching and coupling functions.

## Key findings

- Derived exact characteristic functions for work distributions.
- Analyzed effects of time-dependent frequencies and boundary movements.
- Discussed limiting cases and their physical implications.

## Abstract

The work distribution function for a non-relativistic, non-interacting quantum many-body system interacting with classical external sources is investigated. Exact expressions for the characteristic function corresponding to the work distribution function is obtained for arbitrary switching function and coupling functions. The many-body frequencies are assumed to be generally time-dependent in order to take into account the possibility of moving the boundaries of the system in a predefined process linking the characteristic function to the fluctuation-induced energies in confined geometries. Some limiting cases are considered and discussed.