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

Quantum simulation of quasicrystals in synthetic bosonic matter now paves the way for 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. We find our results using quantum Monte Carlo simulations. Finite-size effects are carefully taken into account 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. We interpret our results for strong interactions using a fermionization picture and discuss experimental relevance.

Automated summary

Quantum simulation of quasicrystals in synthetic bosonic matter has opened up possibilities for exploring these fascinating systems across a wide range of parameters. However, thermal fluctuations and their competition with quantum coherence can have a significant impact on the quantum phases at zero temperature. In this study, we determine the thermodynamic phase diagram of interacting bosons in a two-dimensional, homogeneous quasicrystal potential using quantum Monte Carlo simulations. We carefully consider finite-size effects and systematically distinguish between quantum and thermal phases. Our results reveal the stabilization of a genuine Bose glass phase against the normal fluid in significant parameter ranges. We also discuss the experimental implications and interpret our findings for strong interactions using a fermionization picture.