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 crossover formula S=F(tT_K) $S=F\left(t{T}_{K}\right)$ , 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 FormFactors 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]}
 Lawrence Berkeley National Laboratory, University of California, Berkeley
 CEA Saclay, University of Southern California
 Publication Date:
 Grant/Contract Number:
 FG0301ER45908
 Type:
 Published Article
 Journal Name:
 SciPost Physics
 Additional Journal Information:
 Journal Name: SciPost Physics Journal Volume: 3 Journal Issue: 1; Journal ID: ISSN 25424653
 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 crossover 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 FormFactors 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}
}