Zonal Estimators for Quasiperiodic Bosonic Many-Body Phases

Abstract

In this work, we explore the relevant methodology for the investigation of interacting systems with contact interactions, and we introduce a class of zonal estimators for path-integral Monte Carlo methods, designed to provide physical information about limited regions of inhomogeneous systems. We demonstrate the usefulness of zonal estimators by their application to a system of trapped bosons in a quasiperiodic potential in two dimensions, focusing on finite temperature properties across a wide range of values of the potential. Finally, we comment on the generalization of such estimators to local fluctuations of the particle numbers and to magnetic ordering in multi-component systems, spin systems, and systems with nonlocal interactions.

Superstripes and quasicrystals in bosonic systems with hard-soft corona interactions

“…Theoretical proposals demonstrated the possibility of observing quasicrystal patterns in BECs [19,20]. Importantly, recent experiments realized two-dimensional (2D) quasicrystalline lattices [21,22], paving the way to Bose glass phases [23][24][25]. Likewise, finiterange potentials with single or multiple intrinsic length scales became relevant due to their experimental implementation in cavities [26], Rydberg-dressed atoms [27,28], ultra-longrange Rydberg molecules [29][30][31][32], and spin-orbit coupled Bose-Einstein condensates [33].…”