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

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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 nonrelativistic case. Our predictions for the entanglement entropy and correlation length are successfully compared to numerical results in two paradigmatic systems: the Mott insulator to the superfluid transition for ultracold lattice bosons and the ground state of ferrimagnetic systems.

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Physical Review Research, 2020, vol. 2, num. 3, p. 033016

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cc-by (c) Morera Navarro, Ivan et al., 2020

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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