Shuai Yin, Xizhou Qin, Chaohong Lee, Fan Zhong
Time plays a fundamental role in quantum criticality owing to the interplay of static and dynamic behaviors. Yet, it is a great challenge to study and understand real-time quantum critical dynamics both at zero temperature and at finite temperatures. Here, we consider 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 and explore a regime of finite-time scaling. Through a successful application in the dark impulse regime of quantum Kibble-Zurek mechanism at zero temperature and the first 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 and determine dynamic critical properties, but also a unified framework to understand and explore the nonequilibrium dynamics of quantum criticality.
View original:
http://arxiv.org/abs/1207.1602
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