On quantum phase transitions in tilted 2D lattices

Abstract

We discuss the quantum phase transition from the Mott-insulator state to the density-wave state for cold Bose atoms in a 2D square lattice as the lattice is adiabatically tilted along one of its primary axes. It is shown that a small misalignment of the tilt drastically changes the result of the adiabatic passage and, instead of the density-wave state, one obtains a disordered state. Intrinsic relation of the problem to Bloch oscillations of hard-core bosons in a 2D lattice is illuminated.

4 pages, 3 figures

References in corpus (8)

• Quantum Simulation of Antiferromagnetic Spin Chains in an Optical Lattice
• Observation of the Meissner effect with ultracold atoms in bosonic ladders
• Quench dynamics across quantum critical points
• Precision measurement of gravity with cold atoms in an optical lattice and comparison with a classical gravimeter
• Mott insulators in strong electric fields
• Observation of many-body long-range tunneling after a quantum quench
• Wannier-Stark states in double-periodic lattices I: one-dimensional lattices
• Wannier-Stark states in double-periodic lattices II: two-dimensional lattices

Cited by in corpus (6)

• Many-body quantum dynamics of an asymmetric bosonic Josephson junction
• Quantum order-by-disorder induced phase transition in Rydberg ladders with staggered detuning
• Topographic control of order in quasi-2D granular phase transitions
• Spin-models, dynamics and criticality with atoms in tilted optical superlattices
• Mott-insulator state of cold atoms in tilted optical lattices: doublon dynamics and multi-level Landau-Zener tunneling
• Bloch-Landau-Zener Oscillations in Moiré Lattices