Universal work statistics in long-range interacting quantum systems

TL;DR

This paper explores how long-range interactions in quantum systems can reduce energy losses during non-adiabatic processes, improving the efficiency of quantum thermal devices and offering insights into energy transfer and criticality.

Contribution

It provides a general framework for understanding the impact of long-range interactions on quantum work statistics and thermodynamics, applicable to various experimental scenarios.

Findings

Long-range interactions reduce defect generation during non-adiabatic evolution.

Long-range systems show robustness against dynamic excitations.

Including long-range interactions enhances quantum thermodynamic cycle efficiency.

Abstract

We determine the conditions under which the presence of long-range interactions reduce the energy losses due to defect generation during non-adiabatic evolution, crucial for enhancing the power to efficiency ratio of quantum thermal devices. In order to do so, we investigate the response of long-range systems to diverse external drivings, emphasizing their robustness against dynamic excitation in comparison to generic local systems. This phenomenon is demonstrated through the study of the quantum work statistics, revealing insights into energy transfer efficiency and dynamical quantum criticality. Our results demonstrate the benefits of including a long-range interacting medium for quantum thermodynamics application, highlighting the potential to optimize finite-time quantum thermal cycles. Thanks to the effective dimension approach our findings can be drawn in full generality and, then, specified to different experimentally relevant scenarios.