Volume 119, Number 5, September 2017
|Number of page(s)||4|
|Section||Condensed Matter: Electronic Structure, Electrical, Magnetic and Optical Properties|
|Published online||14 November 2017|
Entanglement spectrum of the degenerative ground state of Heisenberg ladders in a time-dependent magnetic field
Institute for Theoretical Physics, University of Regensburg - D-93040 Regensburg, Germany
Received: 26 May 2017
Accepted: 17 October 2017
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.
PACS: 75.10.Jm – Quantized spin models, including quantum spin frustration / 03.67.-a – Quantum information / 05.30.-d – Quantum statistical mechanics
© EPLA, 2017
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