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Transient Particle Energies in Shortcuts to Adiabatic Expansions of Harmonic Traps

机译:谐波陷阱绝热膨胀捷径的瞬态粒子能量

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摘要

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.
机译:通过“绝热的捷径”(STA),可以在没有任何最终粒子激发的情况下实现保持量子粒子的谐波电势的扩展,但是比绝热要快得多。虽然理想情况下可以将处理时间减少到零,但实际的限制和约束对外部控制的时间相关频率协议施加了最小的有限时间。我们研究了不同时间平均能量(总,动能,势能,非绝热)和瞬时功率在表征或选择不同方案中的作用。具体而言,我们证明了STA过程的病毒定理,为给定时间(或能量)设置了最小能量(或时间),并通过Dirac脉冲或其他方式讨论了它们的可实现性。

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