Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
Entanglement dynamics in Rule 54: Exact results and quasiparticle picture
复制标题
规则 54 中的纠缠动力学:精确结果和准粒子图
作者:
Katja Klobas;B. Bertini
We study the entanglement dynamics generated by quantum quenches in
the quantum cellular automaton Rule 54. We consider the evolution from a
recently introduced class of solvable initial states. States in this
class relax (locally) to a one-parameter family of Gibbs states and the
thermalisation dynamics of local observables can be characterised
exactly by means of an evolution in space. Here we show that the latter
approach also gives access to the entanglement dynamics and derive exact
formulas describing the asymptotic linear growth of all Rényi entropies
in the thermodynamic limit and their eventual saturation for finite
subsystems. While in the case of von Neumann entropy we recover exactly
the predictions of the quasiparticle picture, we find no physically
meaningful quasiparticle description for other Rényi entropies. Our
results apply to both homogeneous and inhomogeneous quenches.
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影响因子:
8.6
作者:
Bonnes, Lars;Essler, Fabian H. L.;Lauchli, Andreas M.
通讯作者:
Lauchli, Andreas M.
影响因子:
3.7
作者:
Gopalakrishnan, Sarang;Huse, David A.;Vasseur, Romain
通讯作者:
Vasseur, Romain
影响因子:
3.7
作者:
Gopalakrishnan, Sarang
通讯作者:
Gopalakrishnan, Sarang
DOI:
10.1103/physrevx.10.031066
发表时间:
2019-12
期刊:
arXiv: Strongly Correlated Electrons
影响因子:
--
作者:
Tianci Zhou;A. Nahum
通讯作者:
Tianci Zhou;A. Nahum
影响因子:
3.7
作者:
R. Vasseur;A. Potter;Yi-Zhuang You;A. Ludwig
通讯作者:
R. Vasseur;A. Potter;Yi-Zhuang You;A. Ludwig