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

Abstract

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 $H_{c1}$; (ii) a ferromagnetic phase of atoms in the hyperfine state $|F=1,m_F=1>$ when the external magnetic field exceeds the upper critical field $H_{c2}$; and (iii) a mixed phase of singlet pairs and unpaired atoms in the intermediate region $H_{c1}<H<H_{c2}$. 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 $m_F=1$ 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.

21 pages, 3 figures

References in corpus (8)

• Probing spin-charge separation in a Tomonaga-Luttinger liquid
• Phase Transitions and Pairing Signature in Strongly Attractive Fermi Atomic Gases
• Phase diagram of spin-1 bosons on one-dimensional lattices
• Ferromagnetic behaviour in the strongly interacting two-component Bose gas
• Analytic thermodynamics and thermometry of Gaudin-Yang Fermi gases
• Paired state in an integrable spin-1 boson model
• On the spin-liquid phase of one dimensional spin-1 bosons
• Magnetism and quantum phase transitions in spin-1/2 attractive fermions with polarization

Cited by in corpus (9)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Fermi gases in one dimension: From Bethe Ansatz to experiments
• A unified ab-initio approach to the correlated quantum dynamics of ultracold fermionic and bosonic mixtures
• Critical phenomena in one dimension from a Bethe ansatz perspective
• Quantum criticality of spin-1 bosons in a 1D harmonic trap
• Density-functional theory for the spin-1 bosons in a one-dimensional harmonic trap
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Universal logarithmic temperature dependence of magnetic susceptibility of one-dimensional electrons at critical values of magnetic field
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction