Generalized Eigenstate Thermalization Hypothesis in 2D Conformal Field Theories.
Generalized Eigenstate Thermalization Hypothesis in 2D Conformal Field Theories.
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二维共形场论中的广义本征态热化假说。
DOI：
10.1103/physrevlett.123.111602
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发表时间：
2019
影响因子：
8.6
通讯作者：
K. Pavlenko
中科院分区：
文献类型：
--
作者：
A. Dymarsky;K. Pavlenko
二维无限维共形对称性通过产生对合中的局域守恒量子Korteweg-de Vries(QKdV)电荷的无限塔而导致二维共形场论(CFT)的可积性。我们讨论了守恒电荷的存在如何限制二维CFT中的平衡。我们认为，在热力学极限下，大中心电荷2D CFT满足广义本征态热化，其中qKdV电荷的值构成了一套完整的热力学相关量，它明确地决定了真空族中所有局域可观测量的期望值。系综的等价性进一步规定了本征态的局域性质可以用只包括qKdV电荷的广义吉布斯系综来描述。在一般初始态的情况下，平衡后的广义Gibbs系综必然包含负化学势，并且全息地用一个具有量子软毛的准经典黑洞来描述。
Infinite-dimensional conformal symmetry in two dimensions leads to integrability of 2D conformal field theories (CFTs) by giving rise to an infinite tower of local conserved quantum Korteweg-de Vries (qKdV) charges in involution. We discuss how the presence of conserved charges constrains equilibration in 2D CFTs. We propose that in the thermodynamic limit large central charge 2D CFTs satisfy generalized eigenstate thermalization, with the values of qKdV charges forming a complete set of thermodynamically relevant quantities, which unambiguously determine expectation values of all local observables from the vacuum family. Equivalence of ensembles further provides that local properties of an eigenstate can be described by the generalized Gibbs ensemble that includes only qKdV charges. In the case of a general initial state, upon equilibration, the emerging generalized Gibbs ensemble will necessarily include negative chemical potentials and holographically will be described by a quasiclassical black hole with quantum soft hair.
影响因子：
5.4
作者：
Nima Lashkari;A. Dymarsky;Hong Liu
通讯作者：
Nima Lashkari;A. Dymarsky;Hong Liu
大中心电荷下二维 CFT 的精确广义配分函数
影响因子：
5.4
作者：
Dymarsky, Anatoly;Pavlenko, Kirill
通讯作者：
Pavlenko, Kirill