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arXiv 1502.02678hep-thcond-mat.stat-mech
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受限1+1维系统的猝灭动力学

Quench Dynamics in Confined 1+1-Dimensional Systems

Dalit Engelhardt

摘要:

我们提出了一个框架,调查的响应一致不变的限制1+1维系统的量子淬火。虽然共形不变性通常在全局量子猝灭中被破坏,但是可以被描述为或映射到CFT的可积变形的系统可以呈现特殊的实例,其中基于共形场论的分析可以提供对非平衡动力学的有用洞察。我们通过考虑类似于量子牛顿摇篮实验[Nature 440,900(2006)]的猝灭来研究这种可能性,并证明CFT框架中导出的观测值与实验系统的观测值之间的定性一致性。我们建议,这种协议可能是一个功能的实验系统的接近c=1 CFT的可积变形。

英文摘要:

We present a framework for investigating the response of conformally-invariant confined 1+1-dimensional systems to a quantum quench. While conformal invariance is generally destroyed in a global quantum quench, systems that can be described as or mapped to integrable deformations of a CFT may present special instances where a conformal field theory-based analysis could provide useful insight into the non-equilibrium dynamics. We investigate this possibility by considering a quench analogous to that of the Quantum Newton's Cradle experiment [Nature 440, 900 (2006)] and demonstrating qualitative agreement between observables derived in the CFT framework and those of the experimental system. We propose that this agreement may be a feature of the proximity of the experimental system to an integrable deformation of a c=1 CFT.

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