Preemptive vortex-loop proliferation in multicomponent interacting Bose--Einstein condensates

Abstract

We use analytical arguments and large-scale Monte Carlo calculations to investigate the nature of the phase transitions between distinct complex superfluid phases in a two-component Bose--Einstein condensate when a non-dissipative drag between the two components is being varied. We focus on understanding the role of topological defects in various phase transitions and develop vortex-matter arguments allowing an analytical description of the phase diagram. We find the behavior of fluctuation induced vortex matter to be much more complex and substantially different from that of single-component superfluids. We propose and investigate numerically a novel drag-induced ``preemptive vortex loop proliferation'' transition. Such a transition may be a quite generic feature in many multicomponent systems where symmetry is restored by a gas of several kinds of competing vortex loops.

12 pages, 10 figures. Submitted to Physical Review B

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• Superfluid drag in the two-component Bose-Hubbard model
• Coupled superfluidity of binary Bose mixtures in two dimensions
• Skyrmions induced by dissipationless drag in U(1)xU(1) superconductors
• Unusual states of vortex matter in mixtures of Bose--Einstein Condensates on rotating optical lattices
• Multimer formation in 1D two-component gases and trimer phase in the asymmetric attractive Hubbard model
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• BKT-paired phase in coupled XY models
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• Vortices and composite order in $\mathrm{SU}(N)$ theories coupled to Abelian gauge field
• Superfluid Drag in Multicomponent Bose-Einstein Condensates on a Square Optical Lattice
• Fluctuation effects in rotating Bose-Einstein condensates with broken $\mathrm{SU}(2)$ and $\mathrm{U}(1)\times \mathrm{U}(1)$ symmetries in the presence of intercomponent density-density interactions
• Dissipationless Vector Drag--Superfluid Spin Hall Effect
• Freezing of an unconventional two-dimensional plasma
• Current-loops, phase transitions, and the Higgs mechanism in Josephson-coupled multi-component superconductors
• First order superconducting phase transition in chiral $p+ip$ system
• Borromean supercounterfluids at finite temperatures
• Drag-induced dynamical formation of dark solitons in Bose mixture on a ring
• Field Theory of Borromean Super-counterfluids
• Topological order in higher composites