Spatial separation and entanglement of identical particles
arXiv:1402.1434 · doi:10.1142/S0219749914610012
Abstract
We reconsider the effect of indistinguishability on the reduced density operator of the internal degrees of freedom (tracing out the spatial degrees of freedom) for a quantum system composed of identical particles located in different spatial regions. We explicitly show that if the spin measurements are performed in disjoint spatial regions then there are no constraints on the structure of the reduced state of the system. This implies that the statistics of identical particles has no role from the point of view of separability and entanglement when the measurements are spatially separated. We extend the treatment to the case of n particles and show the connection with some recent criteria for separability based on subalgebras of observables.
10 pages
References in corpus (6)
- General criterion for the entanglement of two indistinguishable particles
- Entanglement and Particle Identity: A Unifying Approach
- Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
- Squeezing Inequalities and Entanglement for Identical Particles
- Bipartite entanglement in systems of identical particles: the partial transposition criterion
- Entanglement for multipartite systems of indistinguishable particles
Cited by in corpus (7)
- Quantum entanglement of identical particles by standard information-theoretic notions
- Entanglement in indistinguishable particle systems
- Entanglement of indistinguishable particles: a comparative study
- Entanglement robustness via spatial deformation of identical particle wave functions
- Indistinguishability-enhanced entanglement recovery by spatially localized operations and classical communication
- Locality and entanglement of indistinguishable particles
- Generating indistinguishability within identical particle systems: spatial deformations as quantum resource activators