Finite-time scaling of dynamic quantum criticality

Shuai Yin; Xizhou Qin; Chaohong Lee; Fan Zhong

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arXiv · 1207.1602

Finite-time scaling of dynamic quantum criticality

Shuai Yin·Xizhou Qin·Chaohong Lee·Fan Zhong

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Abstract

We develop a theory of finite-time scaling for dynamic quantum criticality by considering the competition among an external time scale, an intrinsic reaction time scale and an imaginary time scale arising respectively from an external driving field, the fluctuations of the competing orders and thermal fluctuations. Through a successful application in determining the critical properties at zero temperature and the solution of real-time Lindblad master equation near a quantum critical point at nonzero temperatures, we show that finite-time scaling offers not only an amenable and systematic approach to detect the dynamic critical properties, but also a unified framework to understand and explore nonequilibrium dynamics of quantum criticality, which shows specificities for open systems.

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Shuai Yin, Xizhou Qin, Chaohong Lee, Fan Zhong. 2013-03-08. Finite-time scaling of dynamic quantum criticality. https://arxiv.org/abs/1207.1602

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