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Quantum work statistics of linear and nonlinear parametric oscillators

2010/01/18 by Sebastian Deffner, Obinna Abah, Eric Lutz · 6 citations
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Mathematics #Mechanical and Optical Resonators #Non-equilibrium thermodynamics #Nonlinear system #Parametric oscillator #Parametric statistics #Perturbation (astronomy) #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum mechanics #Quartic function #Statistical physics #Statistics #Work (physics) #cond-mat.stat-mech #quant-ph #stochastic dynamics and bifurcation

paper · pdf · doi:10.1016/j.chemphys.2010.04.042

published as Chem. Phys. 375 (2010) 200 · 12 pages, 6 figures

arxiv created 2010/01/18 · openalex publication_date 2010/06/20 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the nonequilibrium work distribution of a quantum oscillator with modulated angular frequency. We examine the discrete-to-continuous transition of the distribution as the temperature and the degree of nonadiabaticity of the frequency transformation are increased. We further develop a perturbative approach to analyze the effect of weak quartic anharmonicities, as well as of a random electric field on a charged oscillator. We find in both cases that the degree of nonadiabaticity is enhanced by the perturbation.

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