Nonadiabaticity of Quantum harmonic oscillators

• URL: http://arxiv.org/abs/2103.08132v3
• Date: Thu, 3 Feb 2022 06:51:09 GMT
• Title: Nonadiabaticity of Quantum harmonic oscillators
• Authors: Hyeong-Chan Kim and Youngone Lee
• Abstract summary: We propose a quantity, $mathcalA!!!!/$, as a measure describing the nonadiabaticity of a thermodynamic process. We write the first law of thermodynamics with $mathcalA!!!!/$ as a measurable quantity.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a quantity, ${\mathcal{A}\!\!\!/}$, 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 ${\mathcal{A}\!\!\!/}$ as a measurable quantity. We discuss universality for the method and some possible applications.

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