Abstract

Quantum phases and phase transitions of weakly to strongly interacting bosonic atoms in deep to shallow optical lattices are described by a single multiorbital mean-field approach in real space. For weakly interacting bosons in one dimension, the critical value of the superfluid to Mott insulator (MI) transition found is in excellent agreement with many-body treatments of the Bose-Hubbard model. For strongly interacting bosons, (i) additional MI phases appear, for which two (or more) atoms residing in each site undergo a Tonks-Girardeau-like transition and localize, and (ii) on-site excitation becomes the excitation lowest in energy. Experimental implications are discussed.

Keywords

PhysicsBosonSuperfluidityExcitationCondensed matter physicsQuantumQuantum phase transitionBose–Hubbard modelOptical latticeQuantum phasesMott insulatorPhase transitionHubbard modelQuantum mechanicsAtomic physicsSuperconductivity

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Publication Info

Year
2005
Type
article
Volume
95
Issue
3
Pages
030405-030405
Citations
85
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Ofir E. Alon, Alexej I. Streltsov, Lorenz S. Cederbaum (2005). Zoo of Quantum Phases and Excitations of Cold Bosonic Atoms in Optical Lattices. Physical Review Letters , 95 (3) , 030405-030405. https://doi.org/10.1103/physrevlett.95.030405

Identifiers

DOI
10.1103/physrevlett.95.030405