|
| related topics |
| {entanglement, phys, rev} |
| {operator, operators, space} |
| {temperature, thermal, energy} |
| {let, theorem, proof} |
| {energy, state, states} |
| {states, state, optimal} |
| {classical, space, random} |
| {time, decoherence, evolution} |
| {field, particle, equation} |
| {photon, photons, single} |
| {information, entropy, channel} |
| {cavity, atom, atoms} |
|
Ensemble averaged entanglement of two-particle states in Fock space
Jan Naudts, Tobias Verhulst
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0703243
- categories:
- quant-ph
- comments:
- 19 pages Latex, changed title, references added in the conclusions
- doi:
- 10.1103/PhysRevA.75.062104
- arxiv_id:
- quant-ph/0703243
- created:
- 2007-03-26
- updated:
- 2007-04-03
Full article ▸
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