Entanglement of indistinguishable particles in condensed matter physics
arXiv:quant-ph/0601079 · doi:10.1103/PhysRevA.73.052323
Abstract
The concept of entanglement in systems where the particles are indistinguishable has been the subject of much recent interest and controversy. In this paper we study the notion of entanglement of particles introduced by Wiseman and Vaccaro [Phys. Rev. Lett. 91, 097902 (2003)] in several specific physical systems, including some that occur in condensed matter physics. The entanglement of particles is relevant when the identical particles are itinerant and so not distinguished by their position as in spin models. We show that entanglement of particles can behave differently to other approaches that have been used previously, such as entanglement of modes (occupation-number entanglement) and the entanglement in the two-spin reduced density matrix. We argue that the entanglement of particles is what could actually be measured in most experimental scenarios and thus its physical significance is clear. This suggests entanglement of particles may be useful in connecting theoretical and experimental studies of entanglement in condensed matter systems.
13 pages, 6 figures, comments welcome, published version (minor changes, added references)
References in corpus (6)
- Diverging Entanglement Length in Gapped Quantum Spin Systems
- Localizable Entanglement
- Production and detection of entangled electron-hole pairs in a degenerate electron gas
- Entanglement constrained by superselection rules
- Entanglement Detection in Optical Lattices of Bosonic Atoms with Collective Measurements
- Increasing identical particle entanglement by fuzzy measurements
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- Reference frames, superselection rules, and quantum information
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- Entanglement generation through particle detection in systems of identical fermions
- Entanglement and level crossings in frustrated ferromagnetic rings
- Entanglement in Algebraic Quantum Mechanics: Majorana fermion systems
- Entanglement at finite temperatures in the electronic two-particle interferometer
- Entanglement enhancement in spatially inhomogeneous many-body systems
- Probing the sign of on-site Hubbard interaction by two-particle quantum walks
- Generating accessible entanglement in bosons via pair-correlated tunneling
- Spin entanglement in atoms and molecules
- Thermal entanglement of Hubbard dimers in the nonextensive statistics
- Optimal reference states for maximum accessible entanglement under the local particle number superselection rule
- GHZ and W Entanglement Witnesses for the Non-interacting Fermi gas
- Extreme spin squeezing for photons
- Generalised monogamy relation of convex-roof extended negativity in multi-level systems
- Dynamical enhancement of spatial entanglement in massive particles
- Segre maps and entanglement for multipartite systems of indistinguishable particles
- Introduction to quantum entanglement in many-body systems
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- Full counting statistics of information content and particle number
- Correlation-based entanglement criterion in bipartite multiboson systems
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- Extraction of Pure Entangled States from Many Body Systems by Distant Local Projections
- Entanglement in bipartite pure states of an interacting boson gas obtained by local projective measurements
- Disentangling the Physics of the Attractive Hubbard Model via the Accessible and Symmetry-Resolved Entanglement Entropies
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- Degrees of Entanglement in Systems of Three Indistinguishable Bosons: Revisiting the Greenberger-Horne-Zeilinge State
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- Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas