Spatial entanglement in interacting Bose-Einstein condensates
arXiv:2011.11076 · doi:10.1103/PhysRevA.103.043327
Abstract
The entanglement between spatial regions in an interacting Bose-Einstein condensate is investigated using a quantum field theoretic formalism. Regions that are small compared to the healing length are governed by a non-relativistic quantum field theory in the vacuum limit, and we show that the latter has vanishing entanglement. In the opposite limit of a region that is large compared to the healing length, the entanglement entropy is like in the vacuum of a relativistic theory where the velocity of light is replaced with the velocity of sound and where the inverse healing length provides a natural ultraviolet regularization scale. Besides the von Neumann entanglement entropy, we also calculate Rényi entanglement entropies for a one-dimensional quasi-condensate.
arXiv comment28 pages, 6 figures
References in corpus (26)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Area laws for the entanglement entropy - a review
- Entanglement in quantum critical phenomena
- Aspects of Holographic Entanglement Entropy
- Entropy and Area
- Geometric and Renormalized Entropy in Conformal Field Theory
- Entanglement entropy and conformal field theory
- Measuring entanglement entropy through the interference of quantum many-body twins
- On Geometric Entropy
- Entanglement entropy in free quantum field theory
- Entanglement entropy of black holes
- Fisher Information and entanglement of non-Gaussian spin states
- A finite entanglement entropy and the c-theorem
- Universality of Entropy Scaling in 1D Gap-less Models
- Spatially distributed multipartite entanglement enables Einstein-Podolsky-Rosen steering of atomic clouds
- Dynamics of entanglement in expanding quantum fields
- Natural Entanglement in Bose-Einstein Condensates
- Divergence of entanglement entropy in quantum systems: Zero-modes
- Zero Modes and Entanglement Entropy
- Creation of macroscopic superpositions of flow states with Bose-Einstein condensates
- Entanglement Entropy of Nontrivial States
- Zero modes and divergence of entanglement entropy
- Variational principle for theories with dissipation from analytic continuation
- Spatial entanglement entropy in the ground state of the Lieb-Liniger model
- Field Space Entanglement Entropy, Zero Modes and Lifshitz Models