Quantum criticality of spin-1 bosons in a one-dimensional harmonic trap

C. C.N. Kuhn*, X. W. Guan, A. Foerster, M. T. Batchelor

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    10 Citations (Scopus)

    Abstract

    We investigate universal thermodynamics and quantum criticality of spin-1 bosons with strongly repulsive density-density and antiferromagnetic spin-exchange interactions in a one-dimensional harmonic trap. From the equation of state, we find that a partially polarized core is surrounded by two wings composed of either spin-singlet pairs or a fully spin-aligned Tonks-Girardeau gas depending on the polarization. We describe how the scaling behavior of density profiles can reveal the universal nature of quantum criticality and map out the quantum phase diagram. We further show that at quantum criticality the dynamical critical exponent z=2 and correlation length exponent ν=1/2. This reveals a subtle resemblance to the physics of the spin-1/2 attractive Fermi gas.

    Original languageEnglish
    Article number011605
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume86
    Issue number1
    DOIs
    Publication statusPublished - 17 Jul 2012

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