This article investigates the classical limit of the Jarzynski equality in quantum systems, specifically using a nonlinear Jaynes-Cummings model representing a superconducting optical cavity with Kerr nonlinearity.
Key Findings:
Two Distinct Regimes: The study reveals a classical regime at high temperatures and low Kerr intensities where the Jarzynski equality holds, and a quantum regime at low temperatures and high Kerr intensities where it fails.
Quantum Resource Identification: The Kerr nonlinearity term creates quantum behavior that can be identified as a quantum resource for quantum computing advantages in non-zero temperature environments.
Work Operator Definition: The authors use a work operator in the interaction picture and apply Dyson expansion to evaluate the averaged exponentiated work.
Temperature-Nonlinearity Interplay: An intricate relationship between Kerr nonlinearity and temperature governs the quantum-to-classical transition and determines the validity domain of the Jarzynski equality.
Nonclassical Behavior: External work increases the state's nonclassicality, with deviations from Jarzynski equality serving as evidence of quantum behavior.
