Quantum criticality in disordered bosonic optical lattices
arXiv:1011.5387 · doi:10.1103/PhysRevA.83.043613
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.
arXiv comment4 pages, 5 figures
References in corpus (24)
- Anderson localization of a non-interacting Bose-Einstein condensate
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Realization of an Excited, Strongly-Correlated Quantum Gas Phase
- Delocalization of a disordered bosonic system by repulsive interactions
- The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
- Disordered insulator in an optical lattice
- Density matrix renormalization group for disordered bosons in one dimension
- Bosons in one-dimensional incommensurate superlattices
- Ground-state properties of hard-core bosons confined on one-dimensional optical lattices
- Exact Study of the 1D Boson Hubbard Model with a Superlattice Potential
- Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
- Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
- Finite-temperature properties of hard-core bosons confined on one-dimensional optical lattices
- Confinement control by optical lattices
- Comment on ``One-Dimensional Disordered Bosonic Hubbard Model: A Density-Matrix Renormalization Group Study"
- Criticality in Trapped Atomic Systems
- Superfluid to Bose-glass transition in a 1D weakly interacting Bose gas
- Quantum Criticality from in-situ Density Imaging
- Exact results for one-dimensional disordered bosons with strong repulsion
- Superfluid to Bose-glass transition of hard core bosons in one-dimensional incommensurate optical lattice
- Excitations of the One Dimensional Bose-Einstein Condensates in a Random Potential
- Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential
- Phase Diagram of Bosons in Two-Color Superlattices from Experimental Parameters
- Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
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- Edge states and topological phases in one-dimensional optical superlattices
- Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
- Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
- Brillouin zone labelling for quasicrystals
- Equilibrium phases of two-dimensional bosons in quasi-periodic lattices
- Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
- Quantum criticality of a one-dimensional Bose-Fermi mixture
- Analytical and numerical study of dirty bosons in a quasi-one-dimensional harmonic trap