论文标题

量子淬灭的工作统计的通用缩放

Universal scaling of work statistics for quantum quenches

论文作者

Fei, Zhaoyu, Sun, C. P.

论文摘要

在本文中,我们系统地研究了量子相变的工作统计数据。对于临界点附近的各向异性共形场理论接近的量子系统,驱动方案分为三种不同的淬火速率,这反映了冷冻时间和淬火时间尺度之间的竞争。在每个制度中,我们都会发现工作统计中的普遍缩放行为(重新归一化之后)。结果表明,关键指数由时空维度$ d $,动态关键指数$ z $,相关长度指数$ν$和幂律协议确定。在量子相变中,可以通过测量洛奇米特回声或拉姆西干涉法,可以在量子相变中找到这些通用量表。

In this paper, we systematically study the work statistics for quantum phase transition. For a quantum system approached by an anisotropic conformal field theory near the critical point, the driving protocols is divided into three different regimes for different quench rates, which reflects the competition between the frozen time and the quench time scale. In each regime, we find universal scaling behaviors in work statistics (after renormalization). It is shown that the critical exponents are determined by the space-time dimension $d$, the dynamical critical exponent $z$, the correlation-length exponent $ν$, and the power-law protocols. These universal scalings in nonequilibrium process may be found in quantum phase transition by measuring the Loschmidt echo or the Ramsey interferometry.

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