A uniform area law for the entanglement of eigenstates in the disordered XY chain
arXiv:1505.02117 · doi:10.1063/1.4938573
Abstract
We consider the isotropic or anisotropic XY spin chain in the presence of a transversal random magnetic field, with parameters given by random variables. It is shown that eigenfunction correlator localization of the corresponding effective one-particle Hamiltonian implies a uniform area law bound in expectation for the bipartite entanglement entropy of all eigenstates of the XY chain, i.e. a form of many-body localization at all energies. Here entanglement with respect to arbitrary connected subchains of the chain can be considered. Applications where the required eigenfunction correlator bounds are known include the isotropic XY chain in random field as well as the anisotropic chain in strong or strongly disordered random field.
28 pages, v2: changes in introduction after feedback received, some references added, v3: some improvements and updates, main results unchanged
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Cited by in corpus (17)
- Localization Properties of the XY Spin Chain. A review of mathematical results with an eye toward Many-Body Localization
- Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
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