Nature of Intermediate States between Superfluid and Mott insulator for Interacting Bosons in One-dimension with a Harmonic Trapping Potential

Abstract

Successive quantum transitions in an intermediate regime are shown to exist between the superfluid and Mott insulating states for interacting bosonic atoms in one dimension with a trapping potential. These transitions, which are caused by the interplay of the trapping potential with the competition between the kinetic energy and the interaction, reveal novel many-body effects as reflected by low-lying excitation behavior, unconventional long-range correlations and an even-odd alternating squeezing process of superfluid bosons into the Mott insulating state. These features, most likely being generic for all dimensions when a trapping potential is involved, are relevant for both experimental observations and physical interpretation of the Mott insulator transition.

4 pages, 5 figures

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Spatial correlations of trapped 1d bosons in an optical lattice
• Temperature changes when adiabatically ramping up an optical lattice
• Superfluid-Mott-Insulator Transition in a One-Dimensional Optical Lattice with Double-Well Potentials

Cited by in corpus (2)

• Ferromagnetism in a two-component Bose-Hubbard model with a synthetic spin-orbit coupling
• Eigenstate properties of the disordered Bose-Hubbard chain