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

2010/09/28 by Xi Chen, J. G. Muga · 2 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Control theory (sociology) #Energy (signal processing) #Excitation #Harmonic #Harmonic oscillator #Physics #Process (computing) #Quantum #Quantum Mechanics and Applications #Quantum electrodynamics #Quantum harmonic oscillator #Quantum mechanics #Transient (computer programming) #quant-ph

paper · pdf · doi:10.1103/physreva.82.053403

published as Phys. Rev. A 82, 053403 (2010) · 7 pages, 6 figures

arxiv created 2010/09/28 · openalex publication_date 2010/11/04 · arxiv updated 2010/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes (``shortcuts to adiabaticity'') designed to reproduce the initial populations at some predetermined final frequency and time. We provide 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.

Citations

• Frictionless dynamics of Bose–Einstein condensates under fast trap variations
• The quantum refrigerator: The quest for absolute zero
• Transport dynamics of single ions in segmented microstructured Paul trap arrays

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