Superfluidity and Swallowtails; Hysteretic Behavior in Bose Condensates

Abstract

We present a theory of hysteretic phenomena in Bose gases, using superfluidity in one dimensional rings and in optical lattices as primary examples. Through this study we are able to give a physical interpretation of swallowtail loops recently found by many authors in the mean-field energy structure of trapped atomic gases. These loops are a generic sign of hysteresis, and in the present context are an indication of superfluidity. We have also calculated the rate of decay of metastable current carrying states due to quantum fluctuations.

32 pages, 15 figures, REVTeX4; v2: added references, corrected fonts in figures

References in corpus (1)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

Cited by in corpus (89)

• Hysteresis in a quantized, superfluid atomtronic circuit
• Fragmentation of Bose-Einstein Condensates
• Superfluidity of Bose-Einstein Condensate in An Optical Lattice: Landau-Zener Tunneling and Dynamical Instability
• Band structure, elementary excitations, and stability of a Bose-Einstein condensate in a periodic potential
• Asymmetric Landau-Zener tunneling in a periodic potential
• Imprinting persistent currents in tunable fermionic rings
• Nonlinear Band Structure in Bose Einstein Condensates: The Nonlinear Schrödinger Equation with a Kronig-Penney Potential
• Cavity-Assisted Dynamical Spin-Orbit Coupling in Cold Atoms
• Rosen-Zener Transition in a Nonlinear Two-Level System
• Macroscopic superpositions of superfluid flows
• Persistent currents with non-quantized angular momentum
• Split-ring polariton condensates as macroscopic two-level quantum systems
• Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
• Bose-Einstein Condensate in a Honeycomb Optical Lattice: Fingerprint of Superfluidity at the Dirac Point
• Vortices in a toroidal Bose-Einstein condensate with a rotating weak link
• Nonlinear dynamics in a synthetic momentum state lattice
• Interaction-Enhanced Group Velocity of Bosons in the Flat Band of an Optical Kagome Lattice
• One-dimensional description of a Bose-Einstein condensate in a rotating closed-loop waveguide
• Period doubling, two-color lattices, and the growth of swallowtails in Bose-Einstein condensates
• Hysteresis and persistent currents in a rotating Bose-Einstein condensate with anharmonic confinement
• Vortices in Bose-Einstein condensates with anharmonic confinement
• Stability of Bose-Einstein condensates in a Kronig-Penney potential
• Temperature induced decay of persistent currents in a superfluid ultracold gas
• Bose-Einstein condensates in toroidal traps: instabilities, swallow-tail loops, and self-trapping
• Nonlinear Krönig-Penney model
• Nonlinear dynamics of a spin-orbit-coupled Bose-Einstein condensate
• First-order phase transition and anomalous hysteresis of Bose gases in optical lattices
• Resonant and Non-Resonant Modulated Amplitude Waves for Binary Bose-Einstein Condensates in Optical Lattices
• Atomic Bloch-Zener oscillations for sensitive force measurements in a cavity
• Nonlinear Dirac Cones
• Nucleation in finite topological systems during continuous metastable quantum phase transitions
• Adiabaticity in nonreciprocal Landau-Zener tunneling
• Josephson tunnelling of a phase-imprinted Bose-Einstein condensate in a time-dependent double-well potential
• Superfluidity and Stabilities of a Bose-Einstein condensate with periodically modulated interatomic interaction
• Band structure loops and multistability in cavity-QED
• Impurity in a bosonic Josephson junction: swallowtail loops, chaos, self-trapping and the poor man's Dicke model
• Nonlinear waves of Bose-Einstein condensates in rotating ring lattice potentials
• Non-exponential tunneling due to mean-field induced swallowtails
• Impurity in a Bose-Einstein condensate in a double well
• Swallowtail Band Structure of the Superfluid Fermi Gas in an Optical Lattice
• Nonlinear Bloch-waves and current states of exciton-polariton condensates
• Nonlinear Phenomena of Ultracold Atomic Gases in Optical Lattices: Emergence of Novel Features in Extended States
• Bose-Einstein Condensates in Superlattices
• Metastability, excitations, fluctuations, and multiple-swallowtail structures of a superfluid in a Bose-Einstein condensate in the presence of a uniformly moving defect
• Magnon Supersolid and Anomalous Hysteresis in Spin Dimers on a Triangular Lattice
• Bloch Oscillations of Cold Atoms in a Cavity: Effects of Quantum Noise
• Toroidal Dipolar Supersolid with a Rotating Weak Link
• Fluctuation-induced and symmetry-prohibited metastabilities in spinor Bose-Einstein condensates
• Decay of persistent currents in annular atomic superfluids
• A Perturbative Analysis of Modulated Amplitude Waves in Bose-Einstein Condensates
• Superfluid flow past an obstacle in annular Bose--Einstein condensates
• Tunnelling induced collapse of an atomic Bose-Einstein condensate in a double-well potential
• Bose-Einstein condensate confined in a 1D ring stirred with a rotating delta link
• Analytical results for the superflow of spin-orbit-coupled Bose-Einstein condensates in optical lattices
• Adiabatically tuning quantized supercurrents in an annular Bose-Einstein condensate
• Floquet eigenspectra of a nonlinear two-mode system under periodic driving: the emergence of "ring" structures
• Superfluidity fraction of few bosons in an annular geometry in the presence of a rotating weak link
• Hysteresis and metastability of Bose-Einstein condensed clouds of atoms confined in ring potentials
• Origin of hysteresis in shock wave reflection
• Current production in ring condensates with a weak link
• Attraction-induced dynamical stability of a Bose-Einstein condensate in a nonlinear lattice
• Instabilities of a Bose-Einstein condensate with mixed nonlinear and linear lattices
• Absence of the Twisted Superfluid State in a mean field model of bosons on a Honeycomb Lattice
• Stability and chaotic behavior of Bose-Einstein condensates in optical lattices with two- and three-body interactions
• Swallowtail Structure in Fermi Superfluids with Periodically Modulated Interactions
• Stability of persistent currents in superfluid fermionic rings
• Aspects of Superfluid Cold Atomic Gases in Optical Lattices
• Hysteresis of noninteracting and spin-orbit coupled atomic Fermi gases with relaxation
• Multiple period states of the superfluid Fermi gas in an optical lattice
• Stabilization of Nonlinear Lattices: A Route to Superfluidity and Hysteresis
• Metastable spin textures and Nambu-Goldstone modes of a ferromagnetic spin-1 Bose-Einstein condensate confined in a ring trap
• Quasistatic transfer protocols for atomtronic superfluid circuits
• Tunable nonlinear Landau-Zener tunnelings in a spin-orbit-coupled spinor Bose-Einstein condensate
• Quantum irreversibility of quasistatic protocols for finite-size quantized systems
• Protocol for nonlinear state discrimination in rotating condensate
• Probing Sound Speed of an Optically-Trapped Bose Gas with Periodically Modulated Interactions by Bragg Spectroscopy
• Generating nonequilibrium stationary state from ground state condensate through an almost-adiabatic cycle
• Dispersion and wavefunction symmetry in cold atoms experiencing artificial gauge fields
• Period-doubled Bloch states in a Bose-Einstein condensate
• dc to ac Josephson transition in a dc atom superconducting quantum interference device
• Comment on ``Nonlinear band structure in Bose-Einstein condensates: Nonlinear Schödinger equation with a Kronig Penney potential"
• Periodic Ultranarrow Rods as 1D Subwavelength Optical Lattices
• Landau and dynamical instabilities of Bose-Einstein condensates with superfluid flow in a Kronig-Penney potential
• Metastability, chaos and spectrum tomography for Bose-Hubbard rings and chains
• Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling
• Perturbative Approach to Superfluidity under Nonuniform Potential
• Stochastic modeling of spreading and dissipation in mixed-chaotic systems that are driven quasistatically
• Swallow-tail dispersions of moving solitons in a two-dimensional fermionic superfluid
• Dissipation induced elastic-mode instability with topological excitation in holographic non-equilibrium steady cnoidal wave supersolid