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

Abstract

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.

Revised version with supplemental material. Main text (5 pages, 3 figures) and supplemental (5 pages)

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Entanglement entropy of fermions in any dimension and the Widom conjecture
• Amplitude / Higgs Modes in Condensed Matter Physics
• Entanglement Entropy in the O(N) model
• Mott insulator to superfluid transition in the Bose-Hubbard model: a strong-coupling approach
• Counting rule for Nambu-Goldstone modes in nonrelativistic systems
• Some Calculable Contributions to Entanglement Entropy
• A relativistic non-relativistic Goldstone theorem: gapped Goldstones at finite charge density
• Entanglement entropy scaling in the bilayer Heisenberg spin system
• Thermodynamic singularities in the entanglement entropy at a 2D quantum critical point
• Nambu-Goldstone bosons and the Higgs mechanism without Lorentz invariance: Analysis based on constrained-system theory
• Higgs Mechanism with Type-II Nambu-Goldstone Bosons at Finite Chemical Potential