A new perspective to formulate a dissipative thermo field dynamics

TL;DR

This paper introduces a novel approach to modeling thermal dissipation using thermo field dynamics, revealing effective non-Hermitian interactions that describe thermal disturbances in quantum systems.

Contribution

It presents a new perspective linking thermal dissipation to effective interactions in thermo field dynamics, bridging Hilbert space and double Hilbert space descriptions.

Findings

Effective interactions reduce thermal disturbances.

Equivalence between spin systems with random fields and finite-size systems.

Thermal disturbance described by non-Hermitian interactions.

Abstract

In the present study, we propose a new perspective on thermal dissipation based on the thermo field dynamics. From the view point of the renormalization theory, there appear effective interactions between the original and tilde spaces on thermo field dynamics with reducing thermal disturbances. This study yields the equivalence of the following two pictures, namely such a spin system with a random field due to a heat bath as is defined in a Hilbert space and a finite-size system with effective interactions defined in a double Hilbert space. The correspondence of the above two systems yields such perspective that the thermal disturbance is described by the effective non-Hermitian interactions.