Thermodynamic Phase Diagram of Two-Dimensional Bosons in a Quasicrystal Potential

Abstract

Quantum simulation of quasicrystals in synthetic bosonic matter now paves the way to the exploration of these intriguing systems in wide parameter ranges. Yet thermal fluctuations in such systems compete with quantum coherence, and significantly affect the zero-temperature quantum phases. Here we determine the thermodynamic phase diagram of interacting bosons in a two-dimensional, homogeneous quasicrystal potential. Our results are found using quantum Monte Carlo simulations. Finite-size scaling is carefully considered and the quantum phases are systematically distinguished from thermal phases. In particular, we demonstrate stabilization of a genuine Bose glass phase against the normal fluid in sizable parameter ranges. Our results for strong interactions are interpreted using a fermionization picture and experimental relevance is discussed.

References in corpus (53)

• Many-Body Physics with Ultracold Gases
• Feshbach Resonances in Ultracold Gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• Anderson localization of a non-interacting Bose-Einstein condensate
• Observation of many-body localization of interacting fermions in a quasi-random optical lattice
• Bose-Einstein condensation of atoms in a uniform potential
• The ALPS project release 1.3: open source software for strongly correlated systems
• The ALPS project release 2.0: Open source software for strongly correlated systems
• Bose-Einstein condensation in quasi2D trapped gases
• Direct observation of a localization transition in quasi-periodic photonic lattices
• Interatomic collisions in a tightly confined Bose gas
• Many-Body Localization in a Quasiperiodic System
• Disordered quantum gases under control
• Dirac Electrons in a Dodecagonal Graphene Quasicrystal
• Atomic Bose and Anderson glasses in optical lattices
• Emergence of coherence in a uniform quasi-two-dimensional Bose gas
• Undecidability of the Spectral Gap (short version)
• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
• Critical Point of a Weakly Interacting Two-Dimensional Bose Gas
• Quasicrystalline 30° Twisted Bilayer Graphene as an Incommensurate Superlattice with Strong Interlayer Coupling
• Two universality classes for the many-body localization transition
• Observation of many-body localization in a one-dimensional system with single-particle mobility edge
• Anderson localization in Bose-Einstein condensates
• Phase Diagram of Bosonic Atoms in Two-Color Superlattices
• Quantum Gases in Optical Boxes
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Observation of tunable mobility edges in generalized Aubry-André lattices
• Fractal energy spectrum of a polariton gas in a Fibonacci quasi-periodic potential
• Two-Dimensional Weakly Interacting Bose Gas in the Fluctuation Region
• Critical Behavior and Fractality in Shallow One-Dimensional Quasiperiodic Potentials
• Matter-wave diffraction from a quasicrystalline optical lattice
• Emergence of criticality through a cascade of delocalization transitions in quasiperiodic chains
• Observation of a disordered bosonic insulator from weak to strong interactions
• Engineering a flux-dependent mobility edge in disordered zigzag chains
• Glassy behavior in a binary atomic mixture
• Bose-Einstein Condensates in Optical Quasicrystal Lattices
• Anomalous mobility edges in one-dimensional quasiperiodic models
• Bosons in one-dimensional incommensurate superlattices
• Observing localisation in a 2D quasicrystalline optical lattice
• Lieb-Liniger Bosons in a Shallow Quasiperiodic Potential: Bose Glass Phase and Fractal Mott Lobes
• Measuring topological invariants from generalized edge states in polaritonic quasicrystals
• Strongly-Interacting Bosons in a Two-Dimensional Quasicrystal Lattice
• Strongly Interacting Two-Dimensional Bose Gases
• Mixed spectra and partially extended states in a two-dimensional quasiperiodic model
• Localization transition in weakly-interacting Bose superfluids in one-dimensional quasiperdiodic lattices
• The eight-fold way for optical quasicrystals
• Stability of the two-dimensional Bose gases in the resonant regime
• Hubbard Models for Quasicrystalline Potentials
• Mean-field phases of an ultracold gas in a quasicrystalline potential
• Finite-temperature phases of trapped bosons in a two-dimensional quasiperiodic potential
• Finite-temperature effects on interacting bosonic 1D systems in disordered lattices
• Quantum simulation of a 2D quasicrystal with cold atoms
• The Mean-Field Bose Glass in Quasicrystalline Systems

Cited by in corpus (13)

• Observing the two-dimensional Bose glass in an optical quasicrystal
• Critical states and anomalous mobility edges in two-dimensional diagonal quasicrystals
• Colloquium: Synthetic quantum matter in non-standard geometries
• Mott transition for a Lieb-Liniger gas in a shallow quasiperiodic potential: Delocalization induced by disorder
• Stability of dipolar bosons in a quasiperiodic potential
• Interaction-induced reentrance of Bose glass and quench dynamics of Bose gases in twisted bilayer and quasicrystal optical lattices
• Measurement-induced phase transitions for free fermions in a quasiperiodic potential
• Effective tight-binding models in optical moiré potentials
• Anomalous universal quantum transport in 2D asymptotic quasiperiodic system
• Mott transition and correlation effects on strictly localized states in an octagonal quasicrystal
• Emergent aperiodicity in Bose-Bose mixtures induced by spin-dependent periodic potentials
• Dynamical localization of interacting ultracold atoms in one-dimensional quasi-periodic potentials
• On the origin of energy gaps in quasicrystalline potentials