Quantum criticality in disordered bosonic optical lattices

Abstract

Using the exact Bose-Fermi mapping, we study universal properties of ground-state density distributions and finite-temperature quantum critical behavior of one-dimensional hard-core bosons in trapped incommensurate optical lattices. Through the analysis of universal scaling relations in the quantum critical regime, we demonstrate that the superfluid to Bose glass transition and the general phase diagram of disordered hard-core bosons can be uniquely determined from finite-temperature density distributions of the trapped disordered system.

4 pages, 5 figures

References in corpus (9)

• Direct observation of Anderson localization of matter-waves in a controlled disorder
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
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Cited by in corpus (2)

• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Equilibrium phases of two-dimensional bosons in quasi-periodic lattices