Journal
PHYSICAL REVIEW A
Volume 93, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.93.033626
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Funding
- Russian Foundation for Basic Research [15-02-00463]
- Wannier-Stark states and Bloch oscillations of a quantum particle in a generic two-dimensional lattice
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We discuss the quantum phase transition between the Mott-insulator state and the density-wave state of cold Bose atoms in a two-dimensional (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. An intrinsic relation of the problem to Bloch oscillations of hard-core bosons in a 2D lattice is illuminated.
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