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arXiv 1408.1795cond-mat.str-el
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一阶动力学相变

First order dynamical phase transitions

Elena Canovi, Philipp Werner, Martin Eckstein

摘要:

最近,已经基于热力学极限中的Loschlord回波的非分析行为来识别动态相变[Heyl等人,物理学~修订版~ Lett.~ { \bf 110},135704(2013)]。通过引入条件概率幅,我们展示了如何动态相变可以进一步分类,无论是在数学上,并可能在实验中。这导致了一阶动力学相变的定义。此外,我们发展了一个广义Keldysh形式,它允许使用非平衡动力学平均场论来研究高维不可积模型中的Loschiral回声和动力学相变。我们发现在Falicov-Kimball模型和哈伯德模型中存在一阶动力学相变。

英文摘要:

Recently, dynamical phase transitions have been identified based on the non-analytic behavior of the Loschmidt echo in the thermodynamic limit [Heyl et al., Phys.~Rev.~Lett.~{\bf 110}, 135704 (2013)]. By introducing conditional probability amplitudes, we show how dynamical phase transitions can be further classified, both mathematically, and potentially in experiment. This leads to the definition of first-order dynamical phase transitions. Furthermore, we develop a generalized Keldysh formalism which allows to use nonequilibrium dynamical mean-field theory to study the Loschmidt echo and dynamical phase transitions in high-dimensional, non-integrable models. We find dynamical phase transitions of first order in the Falicov-Kimball model and in the Hubbard model.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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