Effective thermodynamics of isolated entangled squeezed and coherent states

TL;DR

This paper derives an exact thermodynamic framework for entangled quantum states like squeezed and polaron states, linking entanglement spectra to effective temperatures and thermodynamic descriptions.

Contribution

It introduces a novel method to construct effective thermodynamics from entanglement spectra of isolated quantum states, bridging quantum information and thermodynamics.

Findings

Exact calculation of Rènyi entanglement entropy for specific states.

Establishment of a direct relationship between entanglement spectrum and effective temperature.

Derivation of the partition function from single-copy entanglement.

Abstract

The R\'enyi entanglement entropy is calculated exactly for mode-partitioned isolated systems such as the two-mode squeezed state and the multi-mode Silbey-Harris polaron ansatz state. Effective thermodynamic descriptions of the correlated partitions are constructed to present quantum information theory concepts in the language of thermodynamics. Boltzmann weights are obtained from the entanglement spectrum by deriving the exact relationship between an effective temperature and the physical entanglement parameters. The partition function of the resulting effective thermal theory can be obtained directly from the single-copy entanglement.