Dynamical Typicality Approach to Eigenstate Thermalization.

Dynamical Typicality Approach to Eigenstate Thermalization.
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本征态热化的动态典型性方法

DOI:
10.1103/physrevlett.120.230601
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发表时间:
2018
影响因子:
8.6
通讯作者:
P. Reimann
P. Reimann
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
P. Reimann

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我们考虑孤立多体量子系统微正则能壳层内所有初态的集合,这些初态对给定的可观测量表现出任意但固定的非平衡期望值。在这个集合不太小的条件下,通过动力学典型性方法证明了大多数这样的初态具有热化性当且仅当满足所谓的弱本征态热化假设(wETH).在这里,热化意味着在初始瞬变消失之后,的期望值大部分时间都接近微正则值。wETH意味着,在能量壳层内,相关系统哈密顿量的大多数本征态表现出非常相似的期望值。
We consider the set of all initial states within a microcanonical energy shell of an isolated many-body quantum system, which exhibit an arbitrary but fixed nonequilibrium expectation value for some given observable. On the condition that this set is not too small, it is shown by means of a dynamical typicality approach that most such initial states exhibit thermalization if and only ifsatisfies the so-called weak eigenstate thermalization hypothesis (wETH). Here, thermalization means that the expectation value ofspends most of its time close to the microcanonical value after initial transients have died out. The wETH means that, within the energy shell, most eigenstates of the pertinent system Hamiltonian exhibit very similar expectation values of.
DOI: 10.1103/physrevlett.119.100601
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