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

Kai He, Indubala I. Satija, Charles W. Clark, Ana Maria Rey, Marcos Rigol

Research output: Contribution to journalArticle

14 Citations (Scopus)

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.

Original languageEnglish (US)
Article number013617
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume85
Issue number1
DOIs
StatePublished - Jan 11 2012

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bosons
scaling
glass
critical point
disorders
momentum
sublattices
fermions
insulators
exponents

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics

Cite this

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title = "Noise correlation scalings: Revisiting the quantum phase transition in incommensurate lattices with hard-core bosons",
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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Noise correlation scalings : Revisiting the quantum phase transition in incommensurate lattices with hard-core bosons. / He, Kai; Satija, Indubala I.; Clark, Charles W.; Rey, Ana Maria; Rigol, Marcos.

In: Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 85, No. 1, 013617, 11.01.2012.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Noise correlation scalings

T2 - Revisiting the quantum phase transition in incommensurate lattices with hard-core bosons

AU - He, Kai

AU - Satija, Indubala I.

AU - Clark, Charles W.

AU - Rey, Ana Maria

AU - Rigol, Marcos

PY - 2012/1/11

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AB - 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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