Nonadiabaticity of Quantum harmonic oscillators
arXiv:2103.08132 · doi:10.1016/j.physleta.2022.127974
Abstract
We propose a quantity, , as a measure describing the nonadiabaticity of a thermodynamic process. For this purpose, we use a schematic method to find the measure of the `degree of nonadiabaticity'. The method utilizes an `invariant' thermal state constructed from the Ermakov-Lewis-Riesenfeld invariant. Specifically, we study a frequency-modulated quantum harmonic oscillator as a thermodynamic system. Naturally, we write the first law of thermodynamics with as a measurable quantity. We discuss universality for the method and some possible applications.
12 pages, 3 figures