Transition from a two-dimensional superfluid to a one-dimensional Mott insulator

Abstract

A two-dimensional system of atoms in an anisotropic optical lattice is studied theoretically. If the system is finite in one direction, it is shown to exhibit a transition between a two-dimensional superfluid and a one-dimensional Mott insulating chain of superfluid tubes. Monte Carlo simulations are consistent with the expectation that the phase transition is of Kosterlitz-Thouless type. The effect of the transition on experimental time-of-flight images is discussed.

4 pages, 4 figures. Slightly revised according to referee requests

References in corpus (12)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Continuous Quantum Phase Transitions
• Quantum Monte Carlo with Directed Loops
• Stochastic series expansion method with operator-loop update
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Phase coherence of an atomic Mott insulator
• Superfluid to Mott insulator transition in one, two, and three dimensions
• Interacting Bose gases in quasi-one dimensional optical lattices
• Deconfinement in a 2D optical lattice of coupled 1D boson systems
• Aspect-ratio dependence of the spin stiffness of a two-dimensional XY model
• Mott-insulator phase of coupled 1D atomic gases in a 2D optical lattice

Cited by in corpus (6)

• Tuning the Kosterlitz-Thouless transition to zero temperature in Anisotropic Boson Systems
• Ground state phase diagram of the 2d Bose-Hubbard model with anisotropic hopping
• One-dimensional phase transitions in a two-dimensional optical lattice
• Reentrant transition of bosons in a quasiperiodic potential
• Berezinskii-Kosterlitz-Thouless Renormalization Group Flow at a Quantum Phase Transition
• Quantum phase transition of the Bose-Hubbard model on cubic lattice with anisotropic hopping