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Entanglement entropy in low-energy field theories at finite chemical potential

We investigate the leading area-law contribution to entanglement entropy in a system described by a general Lagrangian with O(2) symmetry containing first- and second-order time derivatives, namely breaking the Lorentz-invariance. We establish a connection between the Higgs gap present in a symmetry-broken phase and the area-law term for the entanglement entropy in the general, non-relativistic case. Our predictions for the entanglement entropy and correlation length are successfully compared to numerical results in two paradigmatic systems: the Mott insulator to superfluid transition for ultracold lattice bosons, and the ground state of ferrimagnetic systems.

preprint2020arXivOpen access
Ivan MoreraIrénée FrérotArtur PollsBruno Juliá-Díaz
cond-mat.stat-mechhep-thcond-mat.quant-gasquant-ph
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Ivan MoreraIrénée FrérotArtur PollsBruno Juliá-Díaz

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