Kibble-Zurek mechanism in a quenched ferromagnetic Bose-Einstein condensate

Abstract

The spin vortices are shown to be created through the Kibble-Zurek (KZ) mechanism in a quantum phase transition of a spin-1 ferromagnetic Bose-Einstein condensate, when the applied magnetic field is quenched below a critical value. It is shown that the magnetic correlation functions have finite correlation lengths, and magnetizations at widely separated positions grow in random directions, resulting in spin vortices. We numerically confirm the scaling law that the winding number of spin vortices is proportional to the square root of the length of the closed path, and for slow quench, proportional to ${\tau }_{\mathrm{Q}}^{-1/6}$ with ${\tau }_{\mathrm{Q}}$ being the quench time. The relation between the spin conservation and the KZ mechanism is discussed.

11 pages, 7 figures

References in corpus (15)

• Spin domains in ground state spinor Bose-Einstein condensates
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Cosmological Experiments in Condensed Matter Systems
• Big bang simulation in superfluid 3He-B -- Vortex nucleation in neutron-irradiated superflow
• The Cosmological Kibble Mechanism in the Laboratory: String Formation in Liquid Crystals
• Observation of Magnetic Flux Generated Spontaneously During a Rapid Quench of Superconducting Films
• Quantum quenches in a spinor condensate
• Zurek-Kibble domain structures: The Dynamics of Spontaneous Vortex formation in Annular Josephson Tunnel Junctions
• Non-Appearance of Vortices in Fast Mechanical Expansions of Liquid 4He Through the Lambda Transition
• Dynamics of a quantum phase transition in a ferromagnetic Bose-Einstein condensate
• Vortex quantum creation and winding number scaling in a quenched spinor Bose gas
• Broken axisymmetry phase of a spin-1 ferromagnetic Bose-Einstein condensate
• Defect Formation in Quench-Cooled Superfluid Phase Transition
• Topological defect formation in quenched ferromagnetic Bose-Einstein condensates
• Breaking of Chiral Symmetry and Spontaneous Rotation in a Spinor Bose-Einstein Condensate

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