Generalized coherent states in thermal field dynamics in the frame of diagonal ordering operator technique

TL;DR

This paper extends thermofield dynamics to deformed bosons, constructing temperature-dependent coherent states of dual types using a generalized diagonal operator ordering technique, and explores their connection to thermodynamics.

Contribution

It introduces a formulation of thermofield dynamics for deformed bosons and constructs dual sets of temperature-dependent coherent states using a generalized operator ordering method.

Findings

Constructed temperature-dependent coherent states of dual types.

Extended thermofield dynamics to deformed bosonic systems.

Linked thermodynamic quantities with the developed formalism.

Abstract

Although the thermofield dynamics (TFD) was developed specifically for systems to which the ladder canonical operators and are associated, in the paper we showed that this approach can also be formulated for systems of deformed bosons, associated with a pair of deformed operators and . In this context we built sets of temperature dependent coherent states, both of the Barut-Girardello and of the Klauder-Perelomov type, these two types being dual to each other. In calculations involving ladder operators, both independent and temperature-dependent, we used the Diagonal Operator Ordering Technique (DOOT), which is a generalization of the Integration Within an Ordered Product technique (IWOP) applicable to canonical operators associated with the one-dimensional harmonic oscillator. We also refer to the connection between TFD and thermodynamic quantities.