Entanglement spectrum of the degenerative ground state of Heisenberg ladders in a time-dependent magnetic field

Predin, Sonja (2017) Entanglement spectrum of the degenerative ground state of Heisenberg ladders in a time-dependent magnetic field. EPL, 119 (5): 57003. ISSN 0295-5075, 1286-4854

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Abstract

We investigate the relationship between the entanglement and subsystem Hamiltonians in the perturbative regime of strong coupling between subsystems. One of the two conditions that guarantees the proportionality between these Hamiltonians obtained by using the nondegenerate perturbation theory within the first order is that the unperturbed ground state has a trivial entanglement Hamiltonian. Furthermore, we study the entanglement Hamiltonian of the Heisenberg ladders in a time-dependent magnetic field using the degenerate perturbation theory, where couplings between legs are considered as a perturbation. In this case, when the ground state is twofold degenerate, and the entanglement Hamiltonian is proportional to the Hamiltonian of a chain within first-order perturbation theory, even then also the unperturbed ground state has a nontrivial entanglement spectrum. Copyright (C) EPLA, 2017

Item Type: Article
Uncontrolled Keywords: ;
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:15
Last Modified: 28 Feb 2019 13:56
URI: https://pred.uni-regensburg.de/id/eprint/1202

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