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

Abstract

There is recently a surge of interest to cut down the time it takes to change the state of a quantum system adiabatically. We study for the time-dependent harmonic oscillator the transient energy excitation in speed-up processes designed to reproduce the initial populations at some predetermined final frequency and time, providing 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.

7 pages, 6 figures

References in corpus (5)

• Shortcut to adiabatic passage in two and three level atoms
• Fast optimal transition between two equilibrium states
• Optimal transport of ultracold atoms in the non-adiabatic regime
• The Quantum Refrigerator: The quest for absolute zero
• Transport dynamics of single ions in segmented microstructured Paul trap arrays

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