论文标题

开放量子系统和Schwinger-Keldysh全息图

Open quantum systems and Schwinger-Keldysh holograms

论文作者

Jana, Chandan, Loganayagam, R., Rangamani, Mukund

论文摘要

我们使用全息方法启动开放量子场理论的研究。具体而言,我们考虑了在有限温度(环境)下与全息场理论结合的量子场理论(系统)。我们研究了整合全息环境的效果,目的是为产生的开放量子场理论获得有效的动力学。进入此开放有效动作的影响功能由全息照相环境的实时(Schwinger-keldysh)相关函数确定。为了评估后者,我们利用了最新的发展,其中,半经典的重力Schwinger-keldysh鞍形几何形状被确定为复杂的黑洞空位。我们使用这些几何形状中的全息方法来计算实时相关函数,并认为它们导致了有关系统的明智的开放有效量子动力学,这一问题迄今尚未确定。除了对开放量子系统的启动与密切相关的热环境结合起来,我们的结果还提供了对重力和全息图中的Schwinger-keldysh可观察物的原则计算。特别是,这些影响功能我们计算捕获黑洞准模式的耗散物理,以及在即将出发的鹰量化量子中编码的波动及其之间的相互作用。除了确定二维全息CFT环境的明确结果外,我们还以低频和动量扩展在一般维度下以低频和动量扩张的形式获得了这些可观察到的结果。

We initiate the study of open quantum field theories using holographic methods. Specifically, we consider a quantum field theory (the system) coupled to a holographic field theory at finite temperature (the environment). We investigate the effects of integrating out the holographic environment with an aim of obtaining an effective dynamics for the resulting open quantum field theory. The influence functionals which enter this open effective action are determined by the real-time (Schwinger-Keldysh) correlation functions of the holographic thermal environment. To evaluate the latter, we exploit recent developments, wherein the semiclassical gravitational Schwinger-Keldysh saddle geometries were identified as complexified black hole spacetimes. We compute real-time correlation functions using holographic methods in these geometries, and argue that they lead to a sensible open effective quantum dynamics for the system in question, a question that hitherto had been left unanswered. In addition to shedding light on open quantum systems coupled to strongly correlated thermal environments, our results also provide a principled computation of Schwinger-Keldysh observables in gravity and holography. In particular, these influence functionals we compute capture both the dissipative physics of black hole quasinormal modes, as well as that of the fluctuations encoded in outgoing Hawking quanta, and interactions between them. We obtain results for these observables at leading order in a low frequency and momentum expansion in general dimensions, in addition to determining explicit results for two dimensional holographic CFT environments.

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