Quantum phase transition in a shallow one-dimensional optical lattice

Abstract

In this article the extended Bose-Hubbard model describing ultra-cold atoms confined in a shallow, one-dimensional optical lattice is introduced and studied by the exact diagonalization approach. All parameters of the model are related to the only relevant parameter controlled experimentally -- the depth of the optical potential. Changes in a shape of the insulating lobe in the phase diagram of the system are explored and the value of the critical tunneling for which the system undergoes the phase transition (from the insulating to the superfluid phase) is predicted. It is shown that the value of critical tunneling is substantially affected by the presence of the tunnelings to distant sites of the optical lattice. The results may have some importance in upcoming experiments on quantum quench through phase transition points.

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Cited by in corpus (6)

• Ultracold bosons with short-range interaction in regular optical lattices
• Mott Transition for Strongly-Interacting 1D Bosons in a Shallow Periodic Potential
• Multiband Effects and the Bose-Hubbard Model in One-Dimensional Lattices
• Sub- and supercritical defect scattering in Schrödinger chains with higher-order hopping
• Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
• Characterizing Real-space Topology in Rice-Mele Model by Thermodynamics