Transient energy excitation in shortcuts to adiabaticity for the time dependent harmonic oscillator

TL;DR

This paper investigates transient energy excitations during rapid state changes in a quantum harmonic oscillator, providing bounds and implications for quantum speed limits and thermodynamic principles.

Contribution

It introduces a detailed analysis of energy excitations in shortcuts to adiabaticity, offering new bounds and insights into quantum process limitations.

Findings

Derived lower bounds for transient energy excitation.

Examples demonstrating energy excitation during rapid processes.

Implications for quantum speed limits and thermodynamics.

Abstract

There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes designed to reproduce the initial populations at some predetermined final frequency and time, providing lower bounds and examples. Implications for the limits imposed to the process times and for the principle of unattainability of the absolute zero, in a single expansion or in quantum refrigerator cycles, are drawn.