Universal Entanglement Dynamics following a Local Quench

Vasseur, Romain; Saleur, Hubert

doi:10.21468/SciPostPhys.3.1.001

SciPost Physics

Universal Entanglement Dynamics following a Local Quench

Romain Vasseur, Hubert Saleur

SciPost Phys. 3, 001 (2017) · published 6 July 2017

doi: 10.21468/SciPostPhys.3.1.001
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Abstract

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 $S=F(tT_K)$, where $T_K$ is the crossover (Kondo) temperature: the function $F$ describes the dynamical "healing" of the system at large times. We discuss how to obtain analytic information about $F$ 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.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.3.1.001
TI  - Universal Entanglement Dynamics following a Local Quench
PY  - 2017/07/06
UR  - https://scipost.org/SciPostPhys.3.1.001
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 3
IS  - 1
SP  - 001
A1  - Vasseur, Romain
AU  - Saleur, Hubert
AB  - 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 $S=F(tT_K)$, where $T_K$ is the crossover (Kondo) temperature: the function $F$ describes the dynamical "healing" of the system at large times. We discuss how to obtain analytic information about $F$ 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.
ER  -

@Article{10.21468/SciPostPhys.3.1.001,
	title={{Universal Entanglement Dynamics following a Local Quench}},
	author={Romain Vasseur and Hubert Saleur},
	journal={SciPost Phys.},
	volume={3},
	pages={001},
	year={2017},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.3.1.001},
	url={https://scipost.org/10.21468/SciPostPhys.3.1.001},
}

Cited by 3

Ontology / Topics

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Boundary condition changing operators Density matrix renormalization group (DMRG) Entanglement Entanglement dynamics Free fermions Integrability/integrable models Kondo temperature Local quenches Massless form factors Quantum impurity problems Quantum wires Tunneling

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¹ ² Romain Vasseur,
³ ⁴ Hubert Saleur

Funders for the research work leading to this publication