Phase-locking transition of coupled low-dimensional superfluids

Abstract

We study the phase-locking transition of two coupled low-dimensional superfluids, either two-dimensional superfluids at finite temperature, or one-dimensional superfluids at zero temperature. We find that the superfluids have a strong tendency to phase-lock. The phase-locking is accompanied by a sizeable increase of the transition temperature $T_c$ (in 2D systems) of the resulting double-layer superfluid to thermal Bose gas transition, compared to the Kosterlitz-Thouless temperature $T_{KT}$ of the uncoupled 2D systems, which suggests a plausible way of observing the Kibble-Zurek mechanism in two-dimensional cold atom systems by rapidly varying the tunneling rate between the superfluids. If there is also interaction between atoms in different layers present we find additional phases, while no sliding phase, characterized by order or quasi long range order (QLRO) either in the symmetric or the antisymmetric sector of the system.

6 pages, 4 figures, slightly shortened

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Cited by in corpus (19)

• One dimensional Bosons: From Condensed Matter Systems to Ultracold Gases
• Phase space representation of quantum dynamics
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• Adiabatic nonlinear probes of one-dimensional Bose gases
• Doping dependence of the vortex-core energy in bilayer films of cuprates
• Observation of the BKT Transition in a 2D Bose Gas via Matter-Wave Interferometry
• Preemptive vortex-loop proliferation in multicomponent interacting Bose--Einstein condensates
• Coupled superfluidity of binary Bose mixtures in two dimensions
• Interferometric probe of paired states
• A supercritical superfluid and vortex unbinding following a quantum quench
• Tuning the Kosterlitz-Thouless transition to zero temperature in Anisotropic Boson Systems
• Hidden vortex lattices in a thermally paired superfluid
• BKT-paired phase in coupled XY models
• Interacting double dimer model on the square lattice
• Quantum Simulations with Bilayer 2D Bose Gases in Multiple-RF-dressed Potentials
• Lattice sine-Gordon model
• Observation of a Bilayer Superfluid with Interlayer Coherence
• Detecting Phase Coherence of 2D Bose Gases via Noise Correlations
• Spontaneous currents in a bosonic ring