Entanglement in the Bogoliubov vacuum
arXiv:cond-mat/0405550 · doi:10.1103/PhysRevA.71.063605
Abstract
We analyze the entanglement properties of the Bogoliubov vacuum, which is obtained as a second order approximation to the ground state of an interacting Bose--Einstein condensate. We work on one and two dimensional lattices and study the entanglement between two groups of lattice sites as a function of the geometry of the configuration and the strength of the interactions. As our measure of entanglement we use the logarithmic negativity, supplemented by an algorithmic check for bound entanglement where appropriate. The short-range entanglement is found to grow approximately linearly with the group sizes and to be favored by strong interactions. Conversely, long range entanglement is favored by relatively weak interactions. Working with periodic boundary conditions we find some surprising finite size effects for the very long range entanglement. No examples of bound entanglement is found.
11 pages, 7 figures
References in corpus (20)
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Quantum key distribution using gaussian-modulated coherent states
- Entanglement versus Correlations in Spin Systems
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Entanglement in a second order quantum phase transition
- Dynamics of Entanglement in One-Dimensional Spin Systems
- Dynamics and manipulation of entanglement in coupled harmonic systems with many degrees of freedom
- Three-spin interactions in optical lattices and criticality in cluster Hamiltonians
- Entanglement, quantum phase transition and scaling in XXZ chain
- Spatial structures and localization of vacuum entanglement in the linear harmonic chain
- Determination of continuous variable entanglement by purity measurements
- Entanglement and Spontaneous Symmetry Breaking in Quantum Spin Models
- Entanglement and correlation in anisotropic quantum spin systems
- Nonlocal resources in the presence of Superselection Rules
- Wannier states and Bose-Hubbard parameters for 2D optical lattices
- Security of Quantum Key Distribution with Coherent States and Homodyne Detection
- Quantum states far from the energy eigenstates of any local Hamiltonian
- Mode Entanglement and Entangling power in Bosonic Graphs
- Ground-State Entanglement in Interacting Bosonic Graphs
- Characterisation of the dynamical quantum state of a zero temperature Bose-Einstein condensate
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- Bose-Einstein condensates in a double well: mean-field chaos and multi-particle entanglement