Entanglement entropy in low-energy field theories at a 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 symmetr...

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Detalles Bibliográficos
Autores: Morera Navarro, Ivan, Frerot, Iréneé, Polls Martí, Artur, Juliá-Díaz, Bruno
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/179876
Acceso en línea:https://hdl.handle.net/2445/179876
Access Level:acceso abierto
Palabra clave:Gravetat quàntica
Termodinàmica
Quantum gravity
Thermodynamics
Descripción
Sumario: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.