The phase diagram of 2D polar condensates in a magnetic field

Abstract

Spin one condensates in the polar (antiferromagnetic) phase in two dimensions are shown to undergo a transition of the Ising type, in addition to the expected Kosterlitz--Thouless (KT) transition of half vortices, due to the quadratic Zeeman effect. We establish the phase diagram in terms of temperature and the strength of the Zeeman effect using Monte Carlo simulations. When the Zeeman effect is sufficiently strong the Ising and KT transitions merge. For very strong Zeeman field the remaining transition is of the familiar integer KT type.

4 pages, 7 figures

References in corpus (4)

• The ALPS project release 1.3: open source software for strongly correlated systems
• Topological defects and the superfluid transition of the $s=1$ spinor condensate in two dimensions
• Photoassociation spectroscopy of a Spin-1 Bose-Einstein condensate
• Hidden zero-temperature bicritical point in the two-dimensional anisotropic Heisenberg model: Monte Carlo simulations and proper finite-size scaling

Cited by in corpus (24)

• Spinor Bose-Einstein condensates
• Experimental Determination of the Finite-Temperature Phase Diagram of a Spin-Orbit Coupled Bose Gas
• Half-Quantum Vortices in an Antiferromagnetic Spinor Bose-Einstein Condensate
• Paired Superfluidity and Fractionalized Vortices in Spin-orbit Coupled Bosons
• Superfluidity of Bosons in Kagome Lattices with Frustration
• Boson pairing and unusual criticality in a generalized XY model
• Collisional Dynamics of Half-Quantum Vortices in a Spinor Bose-Einstein Condensate
• Berezinskii-Kosterlitz-Thouless transition of two-component Bose mixtures with inter-component Josephson coupling
• Umbilic Lines in Orientational Order
• Observation of wall-vortex composite defects in a spinor Bose-Einstein condensate
• Effects of thermal and quantum fluctuations on the phase diagram of a spin-1 87Rb Bose-Einstein condensate
• Quantum Elliptic Vortex in a Nematic-Spin Bose-Einstein Condensate
• Stepwise Bose-Einstein condensation in a spinor gas
• Finite temperature phase diagram of a spin-1 Bose gas
• Pairing, Ferromagnetism, and Condensation of a normal spin-1 Bose gas
• Dark soliton-like magnetic domain walls in a two-dimensional ferromagnetic superfluid
• Quantum field theory of nematic transitions in spin orbit coupled spin-1 polar bosons
• Berezinskii-Kosterlitz-Thouless transition of spin-1 spinor Bose gases in the presence of the quadratic Zeeman effect
• Hidden long-range order in a spin-orbit coupled two-dimensional Bose gas
• Fluctuations of spinor Bose-Einstein condensates
• Absence of the breakdown of ferrodark solitons exhibiting a snake instability
• Berezinskii-Kosterlitz-Thouless transitions in an easy-plane ferromagnetic superfluid
• Core structure of static ferrodark solitons in a spin-1 Bose-Einstein condensate
• Berezinskii-Kosterlitz-Thouless transitions in a ferromagnetic superfluid: effects of axial magnetization