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.

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• 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