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

TL;DR

This paper maps out the thermodynamic phase diagram of interacting bosons in a 2D quasicrystal potential, revealing the stabilization of a Bose glass phase and analyzing the effects of thermal fluctuations using quantum Monte Carlo simulations.

Contribution

It provides the first systematic study of finite-temperature phases of bosons in a 2D quasicrystal potential with quantum Monte Carlo methods.

Findings

Identification of a stable Bose glass phase in sizable parameter ranges.

Demonstration of thermal fluctuations' impact on quantum phases.

Interpretation of results using a fermionization picture.

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.