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arXiv 1602.06164quant-phcond-mat.stat-mech
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酉有限速率协议中的不可逆性:内部摩擦的概念

Irreversibility in a unitary finite-rate protocol: The concept of internal friction

Selcuk Cakmak, Ferdi Altintas, Ozgur E. Mustecaplioglu

摘要:

在一个简单的、实验上可达到的量子系统中研究了内耗的概念,在该系统中,自旋为1/2的原子在横向磁场的作用下经历量子绝热过程.利用参数变换得到的实际密度矩阵与可逆绝热过程密度矩阵之间的量子相对熵,在系统哈密顿量的前后幺正变换中定量分析了由于量子摩擦产生的不可逆废能.通过分析总转换时间和不同脉冲控制方案对内耗的影响,揭示了内耗随总协议时间变化的非单调性,以及在有限时间转换中几乎无摩擦解的可能性.

英文摘要:

The concept of internal friction, a fully quantum mechanical phenomena, is investigated in a simple, experimentally accessible quantum system in which a spin-1/2 is driven by a transverse magnetic field in a quantum adiabatic process. The irreversible production of the waste energy due to the quantum friction is quantitatively analyzed in a forward-backward unitary transform of the system Hamiltonian by using the quantum relative entropy between the actual density matrix obtained in a parametric transformation and the one in a reversible adiabatic process. Analyzing the role of total transformation time and the different pulse control schemes on the internal friction reveal the non-monotone character of the internal friction as a function of the total protocol time and the possibility for almost frictionless solutions in finite-time transformations.

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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