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

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

2010-09-28

arxiv.org/abs/1009.5582v1

Phys. Rev. A 82, 053403 (2010)

Physics

Quantum Physics

7 pages, 6 figures

Scientific paper

10.1103/PhysRevA.82.053403

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.

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