Equivalence of dissipative and dissipationless dynamics of interacting quantum systems with its application to the unitary Fermi gas

TL;DR

This paper demonstrates an exact mapping between dissipative and dissipationless quantum dynamics in interacting systems, including the unitary Fermi gas, revealing a new way to analyze complex quantum behaviors.

Contribution

It introduces a novel exact mapping from dissipative to dissipationless quantum dynamics applicable to strongly interacting systems like the unitary Fermi gas.

Findings

Dissipative dynamics can be mapped to dissipationless dynamics with a negative harmonic potential.

The mapping is valid for strongly interacting systems, including cold atom gases.

Provides a new analytical approach to study quantum dissipation in many-body systems.

Abstract

We analytically study quantum dissipative dynamics described by the Caldirola-Kanai model with inter-particle interactions. We have found that the dissipative quantum dynamics of the Caldirola-Kanai model can be exactly mapped to a dissipationless quantum dynamics under a negative external harmonic potential, even when the particles are strongly interacting. In particular, we show that the mapping is valid for the unitary Fermi gas, which is relevant for cold atoms and nuclear matters.