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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 ...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted manuscript

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Publisher copy:
10.1103/PhysRevB.96.064502

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Atomic & Laser Physics
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Atomic & Laser Physics
Oxford college:
Wolfson College
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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics; Atomic & Laser Physics
Oxford Martin School More from this funder
National Research Foundation Singapore More from this funder
Ministry of Education - Singapore More from this funder
Friedrich-Naumann-Stiftung More from this funder
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Publisher:
American Physical Society Publisher's website
Journal:
Physical Review B Journal website
Volume:
96
Issue:
6
Pages:
064502
Publication date:
2017-08-02
Acceptance date:
2017-07-18
DOI:
EISSN:
2469-9969
ISSN:
2469-9950
Pubs id:
pubs:710223
URN:
uri:d8fdca41-3b37-4827-b0ca-5a17d117fbe9
UUID:
uuid:d8fdca41-3b37-4827-b0ca-5a17d117fbe9
Local pid:
pubs:710223
Keywords:

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