Transient Particle Energies in Shortcuts to Adiabatic Expansions of Harmonic Traps

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• 作者：Yang-Yang Cui ; Xi Chen ; J. G. Muga
• 刊名：Journal of Physical Chemistry A
• 出版年：2016
• 出版时间：May 19, 2016
• 年：2016
• 卷：120
• 期：19
• 页码：2962-2969
• 全文大小：399K
• 年卷期：0
• ISSN：1520-5215

文摘

The expansion of a harmonic potential that holds a quantum particle may be realized without any final particle excitation but much faster than adiabatically via “shortcuts to adiabaticity” (STA). While ideally the process time can be reduced to zero, practical limitations and constraints impose minimal finite times for the externally controlled time-dependent frequency protocols. We examine the role of different time-averaged energies (total, kinetic, potential, nonadiabatic) and of the instantaneous power in characterizing or selecting different protocols. Specifically, we prove a virial theorem for STA processes, set minimal energies (or times) for given times (or energies), and discuss their realizability by means of Dirac impulses or otherwise.