Journal article
Universal upper bounds on the Bose-Einstein condensate and the Hubbard star
- Abstract:
- For N hard-core bosons on an arbitrary lattice with d sites and independent of additional interaction terms we prove that the hard-core constraint itself already enforces a universal upper bound on the Bose-Einstein condensate given by Nmax=(N/d)(d-N+1). This bound can only be attained for one-particle states |φ) with equal amplitudes with respect to the hard-core basis (sites) and when the corresponding N-particle state |Ψ) is maximally delocalized. This result is generalized to the maximum condensate possible within a given sublattice. We observe that such maximal local condensation is only possible if the mode entanglement between the sublattice and its complement is minimal. We also show that the maximizing state |Ψ) is related to the ground state of a bosonic "Hubbard star" showing Bose-Einstein condensation.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Accepted manuscript, pdf, 348.6KB, Terms of use)
-
- Publisher copy:
- 10.1103/PhysRevB.96.064502
Authors
- Publisher:
- American Physical Society
- Journal:
- Physical Review B More from this journal
- Volume:
- 96
- Issue:
- 6
- Pages:
- 064502
- Publication date:
- 2017-08-02
- Acceptance date:
- 2017-07-18
- DOI:
- EISSN:
-
2469-9969
- ISSN:
-
2469-9950
- Keywords:
- Pubs id:
-
pubs:710223
- UUID:
-
uuid:d8fdca41-3b37-4827-b0ca-5a17d117fbe9
- Local pid:
-
pubs:710223
- Source identifiers:
-
710223
- Deposit date:
-
2018-04-11
- ARK identifier:
Terms of use
- Copyright holder:
- American Physical Society
- Copyright date:
- 2017
- Notes:
- © 2017 American Physical Society This is the accepted manuscript version of the article. The final version is available online from American Physical Society at: http://dx.doi.org/10.1103/PhysRevB.96.064502
If you are the owner of this record, you can report an update to it here: Report update to this record