Finite-temperature effects on interacting bosonic 1D systems in disordered lattices

Abstract

We analyze the finite-temperature effects on the phase diagram describing the insulating properties of interacting 1D bosons in a quasi-periodic lattice. We examine thermal effects by comparing experimental results to exact diagonalization for small-sized systems and to density-matrix renormalization group (DMRG) computations. At weak interactions, we find short thermal correlation lengths, indicating a substantial impact of temperature on the system coherence. Conversely, at strong interactions, the obtained thermal correlation lengths are significantly larger than the localization length, and the quantum nature of the T=0 Bose glass phase is preserved up to a crossover temperature that depends on the disorder strength. Furthermore, in the absence of disorder, we show how quasi-exact finite-T DMRG computations, compared to experimental results, can be employed to estimate the temperature, which is not directly accessible in the experiment.

14 pages, 19 figures, paper submitted to PRA

References in corpus (10)

• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Direct observation of Anderson localization of matter-waves in a controlled disorder
• Matrix Product Density Operators: Simulation of finite-T and dissipative systems
• 39-K Bose-Einstein condensate with tunable interactions
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Spectral functions in one-dimensional quantum systems at T>0
• Boson Mott insulators at finite temperatures
• Phase diagram and momentum distribution of an interacting Bose gas in a bichromatic lattice
• Slow quench dynamics of a trapped one-dimensional Bose gas confined to an optical lattice
• Thermodynamics and Crossover Phenomena in the Correlation Lengths of the One-Dimensional t-J Model

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• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
• Observing the two-dimensional Bose glass in an optical quasicrystal
• Matrix product purifications for canonical ensembles and quantum number distributions
• Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential
• Kibble-Zurek scaling of the one-dimensional Bose-Hubbard model at finite temperatures
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• Quench Spectroscopy of a Disordered Quantum System
• Minimally entangled typical thermal states algorithm with Trotter gates
• One-Dimensional Disordered Bosonic Systems
• Tomonaga-Luttinger Liquid Behavior in a Rydberg-encoded Spin Chain
• Localization Transition for Interacting Quantum Particles in Colored-Noise Disorder