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Noise correlation scalings: Revisiting the quantum phase transition in incommensurate lattices with hard-core bosons

2012/01/11 by Kai He, Indubala I. Satija, Charles W. Clark +3 · 1 citation
Mathematics · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Critical exponent #Critical point (mathematics) #Mathematics #Momentum (technical analysis) #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum critical point #Quantum mechanics #Quantum phase transition #Quantum, superfluid, helium dynamics #Quasiperiodic function #Superfluidity #Transition point #cond-mat.quant-gas

paper · pdf · doi:10.1103/physreva.85.013617

published as Phys. Rev. A 85, 013617 (2012) · 9 pages, 9 figures, as published

openalex publication_date 2012/01/11 · arxiv created 2012/07/11 · arxiv updated 2012/07/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 quasiperiodic 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 characterize 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.

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