Magnetism of one-dimensional strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction

Journal Article · Tue Dec 15 04:00:00 EST 2009 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.80.063625· OSTI ID:21352417

Lee, J Y; Guan, X W ^[1]; Batchelor, M T ^[1]; Lee, C ^[2]

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1. Department of Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capital Territory 0200 (Australia)
2. Nonlinear Physics Centre and ARC Centre of Excellence for Quantum-Atom Optics, Research School of Physics and Engineering, Australian National University, Canberra, Australian Capital Territory 0200 (Australia)

We investigate magnetism and quantum phase transitions in a one-dimensional system of integrable spin-1 bosons with strongly repulsive density-density interaction and antiferromagnetic spin-exchange interaction via the thermodynamic Bethe ansatz method. At zero temperature, the system exhibits three quantum phases: (i) a singlet phase of boson pairs when the external magnetic field H is less than the lower critical field H{sub c1}; (ii) a ferromagnetic phase of atoms in the hyperfine state |F=1, m{sub F}=1> when the external magnetic field exceeds the upper critical field H{sub c2}; and (iii) a mixed phase of singlet pairs and unpaired atoms in the intermediate region H{sub c1}<H<H{sub c2}. At finite temperatures, the spin fluctuations affect the thermodynamics of the model through coupling the spin bound states to the dressed energy for the unpaired m{sub F}=1 bosons. However, such spin dynamics is suppressed by a sufficiently strong external field at low temperatures. Thus the singlet pairs and unpaired bosons may form a two-component Luttinger liquid in the strong coupling regime.

• OSTI ID: 21352417
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 6 Vol. 80; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR MOMENTUM
ANTIFERROMAGNETISM
ATOMS
BOSONS
BOUND STATE
COUPLING
CRITICAL FIELD
DENSITY
ELECTRONS
ELEMENTARY PARTICLES
ENERGY
EXCHANGE INTERACTIONS
FERMIONS
FERROMAGNETISM
FLUCTUATIONS
FLUIDS
FREE ENERGY
INTEGRAL CALCULUS
INTERACTIONS
LEPTONS
LIQUIDS
MAGNETIC FIELDS
MAGNETISM
MATHEMATICAL MODELS
MATHEMATICS
ONE-DIMENSIONAL CALCULATIONS
PARTICLE MODELS
PARTICLE PROPERTIES
PHASE TRANSFORMATIONS
PHYSICAL PROPERTIES
SPIN
SPIN EXCHANGE
STRONG-COUPLING MODEL
THERMODYNAMIC PROPERTIES
VARIATIONS