Bargmann representation of quantum absorption refrigerators

TL;DR

This paper analytically solves quantum absorption refrigerators using the Bargmann (holomorphic) representation, simplifying calculations and demonstrating its efficiency over traditional operator methods for quantum heat engines and refrigerators.

Contribution

It introduces a holomorphic function approach to analyze quantum refrigerators, providing a more efficient computational method compared to standard operator techniques.

Findings

Holomorphic representation simplifies quantum refrigerator calculations.

It is more computationally efficient than standard operator methods.

Applicable to all quantum heat engines and refrigerators.

Abstract

In this work, we solve the quantum absorption refrigerator analytically in the space of holomorphic functions with Gaussian measure . Our approach simplifies the calculations since for a given quantum system the coordinate representation of any quantum state is always more complicated than its corresponding expression written with respect to the phase-space coordinate $z_{i}$. We finally discuss the computational complexity of the holomorphic representation and compare it with the computational complexity of the standard operator method and prove the efficiency of the holomorphic representation in computing some tasks. Our treatment is applicable to all quantum heat engines and refrigerators.