English

On quantum phase transitions in tilted 2D lattices

Strongly Correlated Electrons 2016-03-23 v1 Quantum Gases Quantum Physics

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.

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Cite

@article{arxiv.1510.02671,
  title  = {On quantum phase transitions in tilted 2D lattices},
  author = {Andrey R. Kolovsky},
  journal= {arXiv preprint arXiv:1510.02671},
  year   = {2016}
}

Comments

4 pages, 3 figures

R2 v1 2026-06-22T11:16:35.127Z