Quantum Counterpart of Classical Equipartition of Energy

TL;DR

This paper demonstrates that the quantum analogue of the classical energy equipartition theorem applies broadly to various quantum systems, including many-particle and interacting models, regardless of potential or coupling strength.

Contribution

It extends the quantum equipartition theorem to a wide class of quantum systems, beyond the previously studied models.

Findings

The quantum equipartition theorem holds for all tested models.

It applies to systems with arbitrary interactions and potentials.

The theorem is valid for any coupling strength to the thermostat.

Abstract

It is shown that the recently proposed quantum analogue of classical energy equipartition theorem for two paradigmatic, exactly solved models (i.e., a free Brownian particle and a dissipative harmonic oscillator) also holds true for all quantum systems which are composed of an arbitrary number of non-interacting or interacting particles, subjected to any confining potentials and coupled to thermostat with arbitrary coupling strength.