Noise Correlation Scalings: Revisiting the Quantum Phase Transition in Incommensurate Lattices with Hard-Core Bosons

TL;DR

This paper investigates quantum phase transitions in hard-core bosons within incommensurate lattices, revealing unique noise correlation scalings and divergence behaviors that distinguish interacting bosonic systems from free fermions.

Contribution

It provides new insights into the critical behavior of noise correlations and their derivatives at the superfluid to Bose glass transition in incommensurate lattices.

Findings

Correlation exponents at SF-BG transition are about half of those in superfluid phase.

Derivatives of peak intensities diverge at the critical point.

Absence of primary sublattice peaks in certain superfluid phases.

Abstract

Finite size scalings of the momentum distribution and noise correlations are performed to study Mott insulator, Bose glass, and superfluid quantum phases in hard-core bosons (HCBs) subjected to quasi-periodic disorder. The exponents of the correlation functions at the Superfluid to Bose glass (SF-BG) transition are found to be approximately one half of the ones that characterizes the superfluid phase. The derivatives of the peak intensities of the correlation functions with respect to quasiperiodic disorder are shown to diverge at the SF-BG critical point. This behavior does not occur in the corresponding free fermion system, which also exhibits an Anderson-like transition at the same critical point, and thus provides a unique experimental tool to locate the phase transition in interacting bosonic systems. We also report on the absence of primary sublattice peaks in the momentum distribution of the superfluid phase for special fillings.