Ensemble averaged entanglement of two-particle states in Fock space
arXiv:quant-ph/0703243 · doi:10.1103/PhysRevA.75.062104
Abstract
Recent results, extending the Schmidt decomposition theorem to wavefunctions of identical particles, are reviewed. They are used to give a definition of reduced density operators in the case of two identical particles. Next, a method is discussed to calculate time averaged entanglement. It is applied to a pair of identical electrons in an otherwise empty band of the Hubbard model, and to a pair of bosons in the the Bose-Hubbard model with infinite range hopping. The effect of degeneracy of the spectrum of the Hamiltonian on the average entanglement is emphasised.
19 pages Latex, changed title, references added in the conclusions
References in corpus (17)
- General criterion for the entanglement of two indistinguishable particles
- Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
- Purity of Gaussian states: measurement schemes and time-evolution in noisy channels
- Quantifying decoherence in continuous variable systems
- Linear entropy as an entanglement measure in two-fermion systems
- An elementary formula for entanglement entropies of fermionic systems
- Emergence of typical entanglement in two-party random processes
- Entanglement dynamics of electron-electron scattering in low-dimensional semiconductor systems
- Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements
- Canonical and micro-canonical typical entanglement of continuous variable systems
- Entanglement of two delocalised electrons
- Dynamical entanglement and chaos: the case of Rydberg molecules
- Teleportation fidelities of squeezed states from thermodynamical state space measures
- A generalized quantum microcanonical ensemble
- Genuine tripartite entanglement in the non-interacting Fermi gas
- Spatial Entanglement of a Free Bosonic Field
- Entanglement of a microcanonical ensemble