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Title: Universal Entanglement Dynamics following a Local Quench

We study the time dependence of the entanglement between two quantum wires after suddenly connecting them via tunneling through an impurity. The result at large times is given by the well known formula S(t) \approx {1\over 3}\ln {t} . We show that the intermediate time regime can be described by a universal cross-over formula S=F(tT_K) S = F ( t T K ) , where T_K T K is the crossover (Kondo) temperature: the function F F describes the dynamical “healing” of the system at large times. We discuss how to obtain analytic information about F F in the case of an integrable quantum impurity problem using the massless Form-Factors formalism for twist and boundary condition changing operators. Our results are confirmed by density matrix renormalization group calculations and exact free fermion numerics.
Authors:
 [1] ;  [2]
  1. Lawrence Berkeley National Laboratory, University of California, Berkeley
  2. CEA Saclay, University of Southern California
Publication Date:
Grant/Contract Number:
FG03-01ER45908
Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 3 Journal Issue: 1; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English
OSTI Identifier:
1373143

Vasseur, Romain, and Saleur, Hubert. Universal Entanglement Dynamics following a Local Quench. Country unknown/Code not available: N. p., Web. doi:10.21468/SciPostPhys.3.1.001.
Vasseur, Romain, & Saleur, Hubert. Universal Entanglement Dynamics following a Local Quench. Country unknown/Code not available. doi:10.21468/SciPostPhys.3.1.001.
Vasseur, Romain, and Saleur, Hubert. 2017. "Universal Entanglement Dynamics following a Local Quench". Country unknown/Code not available. doi:10.21468/SciPostPhys.3.1.001.
@article{osti_1373143,
title = {Universal Entanglement Dynamics following a Local Quench},
author = {Vasseur, Romain and Saleur, Hubert},
abstractNote = {We study the time dependence of the entanglement between two quantum wires after suddenly connecting them via tunneling through an impurity. The result at large times is given by the well known formula S(t) \approx {1\over 3}\ln {t} . We show that the intermediate time regime can be described by a universal cross-over formula S=F(tT_K) S = F ( t T K ) , where T_K T K is the crossover (Kondo) temperature: the function F F describes the dynamical “healing” of the system at large times. We discuss how to obtain analytic information about F F in the case of an integrable quantum impurity problem using the massless Form-Factors formalism for twist and boundary condition changing operators. Our results are confirmed by density matrix renormalization group calculations and exact free fermion numerics.},
doi = {10.21468/SciPostPhys.3.1.001},
journal = {SciPost Physics},
number = 1,
volume = 3,
place = {Country unknown/Code not available},
year = {2017},
month = {7}
}