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arXiv quant-ph/0606124quant-phcond-mat.soft
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共振中量子哈密顿棘轮的电流行为

Current behavior of a quantum Hamiltonian ratchet in resonance

Dario Poletti, Gabriel G. Carlo, Baowen Li

摘要:

我们研究了当反冲周期对应于量子共振态时,在反冲哈密顿系统中出现的棘轮电流。在经典模拟中,时空对称性应该被打破以获得净定向电流。最近发现,在量子共振中,时间对称性可以保持,我们证明了空间对称性破缺是发现这种效应的必要条件。此外,我们显示了数值和分析的运动方向是如何显着影响的踢潜力的强度和周期的值。通过增加相互作用的强度,这个方向周期性地改变,为我们提供了这个量子模型中电流反转的非预期来源。这些逆转也取决于踢的时间,尽管这种行为在理论上更难分析。最后,我们将讨论推广到非一致初始条件的情况。

英文摘要:

We investigate the ratchet current that appears in a kicked Hamiltonian system when the period of the kicks corresponds to the regime of quantum resonance. In the classical analogue, a spatial-temporal symmetry should be broken to obtain a net directed current. It was recently discovered that in quantum resonance the temporal symmetry can be kept, and we prove that breaking the spatial symmetry is a necessary condition to find this effect. Moreover, we show numerically and analytically how the direction of the motion is dramatically influenced by the strength of the kicking potential and the value of the period. By increasing the strength of the interaction this direction changes periodically, providing us with a non-expected source of current reversals in this quantum model. These reversals depend on the kicking period also, though this behavior is theoretically more difficult to analyze. Finally, we generalize the discussion to the case of a non-uniform initial condition.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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