DPG Phi
Verhandlungen
Verhandlungen
DPG

Dresden 2017 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

TT: Fachverband Tiefe Temperaturen

TT 29: Other Low Temperature Topics: Cold Atomic Gases

TT 29.1: Talk

Tuesday, March 21, 2017, 12:00–12:15, HSZ 201

Universal upper bound on the condensate-concentration of lattice hard-core bosonsFelix Tennie1, Vlatko Vedral1,2, and •Christian Schilling11Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom — 2Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543

To investigate Bose-Einstein condensation for interacting bosons, usually the largest eigenvalue of their one-particle reduced density matrix is calculated. For lattice systems of N hard-core bosons on d sites we take a complementary viewpoint: Independent of the spatial dimension and any further microscopic details we prove that the hard-core constraint enforces a universal upper bound on occupation numbers given by Nmax=(N/d)(dN+1). It 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. We show that the maximizing state |Ψ⟩ is related to the ground state of a bosonic ‘Hubbard star’ showing Bose-Einstein condensation.

100% | Mobile Layout | Deutsche Version | Contact/Imprint/Privacy
DPG-Physik > DPG-Verhandlungen > 2017 > Dresden