Bosons in one-dimensional incommensurate superlattices

Abstract

We investigate numerically the zero-temperature physics of the one-dimensional Bose-Hubbard model in an incommensurate cosine potential, recently realized in experiments with cold bosons in optical superlattices L. Fallani et al., Phys. Rev. Lett. 98, 130404, (2007)]. An incommensurate cosine potential has intermediate properties between a truly periodic and a fully random potential, displaying a characteristic length scale (the quasi-period) which is shown to set a finite lower bound to the excitation energy of the system at special incommensurate fillings. This leads to the emergence of gapped incommensurate band-insulator (IBI) phases along with gapless Bose-glass (BG) phases for strong quasi-periodic potential, both for hardcore and softcore bosons. Enriching the spatial features of the potential by the addition of a second incommensurate component appears to remove the IBI regions, stabilizing a continuous BG phase over an extended parameter range. Moreover we discuss the validity of the local-density approximation in presence of a parabolic trap, clarifying the notion of a local BG phase in a trapped system; we investigate the behavior of first- and second-order coherence upon increasing the strength of the quasi-periodic potential; and we discuss the ab-initio derivation of the Bose-Hubbard Hamiltonian with quasi-periodic potential starting from the microscopic Hamiltonian of bosons in an incommensurate superlattice.

22 pages, 28 figures

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Cited by in corpus (84)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Disordered quantum gases under control
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• Anderson localization in Bose-Einstein condensates
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Disordered insulator in an optical lattice
• Observation of a disordered bosonic insulator from weak to strong interactions
• Glassy behavior in a binary atomic mixture
• Phase transitions in a non-Hermitian Aubry-André-Harper model
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Localization of a Bose-Einstein condensate in a bichromatic optical lattice
• Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
• One-particle density matrix characterization of many-body localization
• Delocalization of weakly interacting bosons in a 1D quasiperiodic potential
• Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices
• Noise correlation spectroscopy of the broken order of a Mott insulating phase
• Topological transitions of interacting bosons in one-dimensional bi-chromatic optical lattices
• Breakdown of adiabaticity when loading ultra-cold atoms in optical lattices
• Localization of a Bose-Einstein condensate vortex in a bichromatic optical lattice
• Anderson localization of pairs in bichromatic optical lattices
• Dynamical Anderson transition in one-dimensional periodically kicked incommensurate lattices
• Matter-wave localization in a random potential
• Topological Mott insulators of ultracold atomic mixtures induced by interactions in one-dimensional optical superlattices
• Dimer, trimer and FFLO liquids in mass- and spin-imbalanced trapped binary mixtures in one dimension
• Dynamical creation of a supersolid in asymmetric mixtures of bosons
• Many-body dynamical phase transition in quasi-periodic potential
• Gutzwiller approach to the Bose-Hubbard model with random local impurities
• Superfluid to Bose-glass transition of hard core bosons in one-dimensional incommensurate optical lattice
• Compression as a tool to detect Bose glass in cold atoms experiments
• Superfluidity and Anderson localisation for a weakly interacting Bose gas in a quasiperiodic potential
• Localization of a dipolar Bose-Einstein condensate in a bichromatic optical lattice
• Quantum phases of incommensurate optical lattices due to cavity backaction
• Symmetry breaking in a localized interacting binary BEC in a bi-chromatic optical lattice
• Bragg spectroscopy of clean and disordered lattice bosons in one dimension: a spectral fingerprint of the Bose glass
• Dynamics of cold bosons in optical lattices: Effects of higher Bloch bands
• Anderson localization of a Tonks-Girardeau gas in potentials with controlled disorder
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Spatially-antisymmetric localization of matter wave in a bichromatic optical lattice
• Localization of collisionally inhomogeneous condensates in a bichromatic optical lattice
• Probing correlated phases of bosons in optical lattices via trap squeezing
• Matter-wave localization in a weakly perturbed optical lattice
• Polar bosons in one-dimensional disordered optical lattices
• Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices
• Finite-temperature effects on interacting bosonic 1D systems in disordered lattices
• Strongly interacting bosons in multi-chromatic potentials supporting mobility edges: localization, quasi-condensation and expansion dynamics
• Certifying the adiabatic preparation of ultracold lattice bosons in the vicinity of the Mott transition
• Bosonization and entanglement spectrum for one-dimensional polar bosons on disordered lattices
• Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons
• Phase Diagram of Bosons in Two-Color Superlattices from Experimental Parameters
• Finite-temperature properties of one-dimensional hard-core bosons in a quasiperiodic optical lattice
• Signatures of the single particle mobility edge in the ground state properties of Tonks-Girardeau and non-interacting Fermi gases in a bichromatic potential
• Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
• Pairing, crystallization and string correlations of mass-imbalanced atomic mixtures in one-dimensional optical lattices
• Short-range interactions are irrelevant at the quasiperiodic-driven Luttinger Liquid to Anderson Glass transition
• Dense gaps and scaling relations in the interacting Aubry-Andre' model
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• Controlling disorder with periodically modulated interactions
• Emergence of anomalous dynamics from the underlying singular continuous spectrum in interacting many-body systems
• Topological Mott Insulator with Bosonic Edge Modes in 1D Fermionic Superlattices
• Numerical Computation of Dynamically Important Excited States of Many-Body Systems
• Exploring the grand-canonical phase diagram of interacting bosons in optical lattices by trap squeezing
• Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
• Quantum criticality in disordered bosonic optical lattices
• Suppression of Bogoliubov momentum pairing and emergence of non-Gaussian correlations in ultracold interacting Bose gases
• Spreading of correlations and Loschmidt echo after quantum quenches of a Bose gas in the Aubry-André potential
• Exploring complex phenomena using ultracold atoms in bichromatic lattices
• Correlated bosons in a one-dimensional optical lattice: Effects of the trapping potential and of quasiperiodic disorder
• Studying the low-entropy Mott transition of bosons in a three-dimensional optical lattice by measuring the full momentum-space density
• Fate of Weyl semimetals in the presence of incommensurate potentials
• Bosonic hard spheres in quasi-one dimensional bichromatic optical lattices
• Long-time averaged dynamics of a Bose-Einstein condensate in a bichromatic optical lattice with external harmonic confinement
• Critical temperature of non-interacting Bose gases on disordered lattices
• Bose-Hubbard model with random impurities: Multiband and nonlinear hopping effects
• One-Dimensional Disordered Bosonic Systems
• The effect of disorder on polaritons in a coupled array of cavities
• Bose-Einstein condensates in disordered potentials
• Effect of random on-site energies on the critical temperature of a lattice Bose gas
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Disorder in low dimensions: localisation effects in spin glass wires and cold atoms
• Properties of bosons in a one-dimensional bichromatic optical lattice in the regime of the Sine-Gordon transition: a Worm Algorithm Monte Carlo study
• Thermodynamics and Tomonaga-Luttinger liquid behavior of the quantum 1D hard rod model