Finite-Time Processes In Quantum Thermodynamics: The Limits Of Irreversibility

TL;DR

This paper investigates the fundamental limits of irreversibility in quantum thermodynamics, focusing on finite-time processes, entropy production, and the role of correlations, to better understand the emergence of irreversibility from quantum mechanics.

Contribution

It introduces a generalized geometric thermodynamics framework, extends Landauer's principle with finite-time corrections, and explores collective effects to reduce dissipation in quantum thermodynamic processes.

Findings

Finite-time corrections beyond Markovian regime derived.

Planckian time identified as a speed limit for thermalization.

Classical correlations can significantly reduce energy dissipation.

Abstract

The emergence of irreversibility in physical processes, despite the fundamentally reversible nature of quantum mechanics, remains an open question in physics. This thesis explores the intricate relationship between quantum mechanics and thermodynamics, with a particular focus on minimizing entropy production in finite-time processes. By employing tools from quantum information theory and geometric thermodynamics, we tackle the challenge of deriving irreversible thermodynamic behavior from the reversible microscopic framework of quantum mechanics. We begin with a comprehensive review of the laws of thermodynamics, setting the stage for the subsequent analyses. We introduce novel developments in quantum thermodynamics through a generalized framework for geometric thermodynamics, which enables the derivation of finite-time corrections beyond the Markovian regime. Building on this foundation, we extend Landauer's principle by incorporating a finite-time correction that highlights the necessity of strong coupling for optimal information erasure processes. This result underscores the emergence of Planckian time as a fundamental speed limit to thermalization. Additionally, we explore how collective effects can be harnessed to reduce energy dissipation in thermodynamic operations, revealing that classical correlations between systems can significantly mitigate dissipation, though this may pose new questions regarding the third law of thermodynamics. Finally, we optimize thermodynamic processes in mesoscopic systems, including quantum dot engines and information engines. These findings not only enhance our understanding of the fundamental limits of irreversibility but also open new avenues for research. Future works will focus on fully exploiting collective effects, aligning these with the third law of thermodynamics, and understanding the thermodynamic consistency of master equations.