Self-induced Bose glass phase in quantum cluster quasicrystals

TL;DR

This paper investigates the emergence of Bose glass phases in self-induced bosonic quasicrystals with Lifshitz-Petrich interactions, using mean field, Gross-Pitaevskii, and Monte Carlo methods to map their phase diagram.

Contribution

It introduces a comprehensive analysis of Bose glass phases in quantum quasicrystals, combining multiple simulation techniques to identify novel phases and transitions.

Findings

Bose glass phase shows zero global superfluidity but finite local superfluidity in ring structures.

Sequence of phases observed: super quasicrystal, Bose glass, and insulator as interaction strength increases.

Phase diagram mapped using mean field, Gross-Pitaevskii, and Monte Carlo simulations.

Abstract

We study the emergence of Bose glass phases in self sustained bosonic quasicrystals induced by a pair interaction between particles of Lifshitz-Petrich type. By using a mean field variational method designed in momentum space as well as Gross-Pitaevskii simulations we determine the phase diagram of the model. The study of the local and global superfluid fraction allows the identification of supersolid, super quasicrystal, Bose glass and insulating phases. The Bose glass phase emerges as a quasicrystal phase in which the global superfluidity is essentially zero, while the local superfluidity remains finite in certain ring structures of the quasicrystalline pattern. Furthermore, we perform continuous space Path Integral Monte Carlo simulations for a case in which the interaction between particles stabilizes a quasicrystal phase. Our results show that as the strength of the interaction between particles is increased the system undergoes a sequence of states consistent with the super quasicrystal, Bose glass, and quasicrystal insulator thermodynamic phases.