Bose-Einstein condensation with magnetic dipole-dipole forces

Abstract

Ground-state solutions in a dilute gas interacting via contact and magnetic dipole-dipole forces are investigated. To the best of our knowledge, it is the first example of studies of the Bose-Einstein condensation in a system with realistic long-range interactions. We find that for the magnetic moment of e.g. chromium and a typical value of the scattering length all solutions are stable and only differ in size from condensates without long-range interactions. By lowering the value of the scattering length we find a region of unstable solutions. In the neighborhood of this region the ground state wavefunctions show internal structures not seen before in condensates. Finally, we find an analytic estimate for the characteristic length appearing in these solutions.

final version, 4 pages, 4 figures

References in corpus (3)

• Bose-Einstein Condensation of Atomic Hydrogen
• Influence of nearly resonant light on the scattering length in low-temperature atomic gases
• Controlling atom-atom interaction at ultralow temperatures by dc electric fields

Cited by in corpus (226)

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• Bose-Einstein Condensation of Erbium
• Condensed Matter Theory of Dipolar Quantum Gases
• Observing the Rosensweig instability of a quantum ferrofluid
• Bose-Einstein condensation in trapped dipolar gases
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• Collapse arrest and soliton stabilization in nonlocal nonlinear media
• Strongly correlated 2D quantum phases with cold polar molecules: controlling the shape of the interaction potential
• Strong dipolar effects in a quantum ferrofluid
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Stabilizing a purely dipolar quantum gas against collapse
• Modulational instability in nonlocal nonlinear Kerr media
• Dipolar physics: A review of experiments with magnetic quantum gases
• Two-dimensional bright solitons in dipolar Bose-Einstein condensates
• Tuning the dipolar interaction in quantum gases
• d-wave collapse and explosion of a dipolar Bose-Einstein condensate
• Trapped condensates of atoms with dipole interactions
• Anisotropic solitons in dipolar Bose-Einstein Condensates
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Generic features of modulational instability in nonlocal Kerr media
• Quantum magnetism with multicomponent polar molecules in an optical lattice
• Long-Lived Ultracold Molecules with Electric and Magnetic Dipole Moments
• Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
• Bose Condensates with 1/r Interatomic Attraction: Electromagnetically Induced ``Gravity''
• Bogoliubov modes of a dipolar condensate in a cylindrical trap
• Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
• Spin-3 Chromium Bose-Einstein Condensates
• Rotons in gaseous Bose-Einstein condensates irradiated by a laser
• Dipolar gases in quasi one-dimensional geometries
• Exact hydrodynamics of a trapped dipolar Bose-Einstein condensate
• Physics with Coherent Matter Waves
• Observation of Feshbach resonances in an ultracold gas of ${}^{52}$Cr
• Creation of a dipolar superfluid in optical lattices
• Ultracold Dipolar Gases in Optical Lattices
• Einstein--de Haas Effect in Dipolar Bose-Einstein Condensates
• Efficient numerical methods for computing ground states and dynamics of dipolar Bose-Einstein condensates
• On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
• Comparing contact and dipolar interaction in a Bose-Einstein condensate
• Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
• Mean-field expansion in Bose-Einstein condensates with finite-range interactions
• Novel quantum phases of dipolar Bose gases in optical lattices
• Spontaneous spin textures in dipolar spinor condensates
• "Supersolid" self-bound Bose condensates via laser-induced interatomic forces
• Dipolar Relaxation in an ultra-cold Gas of magnetically trapped chromium atoms
• Ferromagnetism in a lattice of Bose condensates
• Collisional dynamics of ultracold OH molecules in an electrostatic field
• Quantum phases of dipolar spinor condensates
• Pattern Formation in Quantum Ferrofluids: from Supersolids to Superglasses
• Nonlocal interactions prevent collapse in negative scattering length Bose-Einstein gases
• Dipolar Bose-Einstein condensates with dipole-dependent scattering length
• Mean-field regime of trapped dipolar Bose-Einstein condensates in one and two dimensions
• Symmetry Breaking and Self-trapping of a Dipolar Bose-Einstein Condensate in a Double-well Potential
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Ab initio calculation of the KRb dipole moments
• Phonon instability in two-dimensional dipolar Bose-Einstein Condensates
• Dipolar Bose gases: Many-body versus mean-field description
• Inelastic Collisions of Ultracold Polar Molecules
• Droplet formation in a Bose-Einstein condensate with strong dipole-dipole interaction
• Collapse of Bose-Einstein condensate with dipole-dipole interactions
• Stability of dark solitons in three dimensional dipolar Bose-Einstein condensates
• Structure formation during the collapse of a dipolar atomic Bose-Einstein condensate
• Spin waves in a Bose-condensed atomic spin chain
• Expansion dynamics of a dipolar Bose-Einstein condensate
• Ground-state structure and stability of dipolar condensates in anisotropic traps
• Anisotropic pseudo-potential for polarized dilute quantum gases
• Instabilities and the roton spectrum of a quasi-1D Bose-Einstein condensed gas with dipole-dipole interactions
• Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
• Vortices in dipolar condensates with dominant dipolar interactions
• Density oscillations in trapped dipolar condensates
• Dipolar and spinor bosonic systems
• Scattering of two-dimensional solitons in dipolar Bose-Einstein condensates
• Semiclassical theory of trapped fermionic dipoles
• Mott-insulator phases of non-locally coupled 1D dipolar Bose gases
• Spinor condensates with a laser-induced quadratic Zeeman effect
• Vortex in a trapped Bose-Einstein condensate with dipole-dipole interactions
• Faraday patterns in dipolar Bose-Einstein condensates
• Dipolar Bose-Einstein Condensates in Weak Anisotropic Disorder
• Onset of a modulational instability in trapped dipolar Bose-Einstein condensates
• Dynamical Instability of a Rotating Dipolar Bose-Einstein Condensate
• Thomas-Fermi versus one- and two-dimensional regimes of a trapped dipolar Bose-Einstein condensate
• Order parameter and detection for crystallized dipolar bosons in lattices
• Determination of the s-wave Scattering Length of Chromium
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• Dipolar bosons in a planar array of one-dimensional tubes
• Creating two-dimensional bright solitons in dipolar Bose-Einstein condensates
• On Symmetries and Exact Solutions of a Class of Non-local Non-linear Schrodinger Equations with Self-induced PT-symmetric Potential
• Probing dipolar effects with condensate shape oscillation
• Two-dimensional discrete solitons in dipolar Bose-Einstein condensates
• Comment on "Bose-Einstein condensation with magnetic dipole-dipole forces"
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• Pseudo-potential treatment of two aligned dipoles under external harmonic confinement
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• Optical trapping of ultracold dysprosium atoms: transition probabilities, dynamic dipole polarizabilities and van der Waals $C_6$ coefficients
• Vortices and vortex lattices in quantum ferrofluids
• Collective excitation frequencies and stationary states of trapped dipolar Bose-Einstein condensates in the Thomas-Fermi regime
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• Roton excitations in a trapped dipolar Bose-Einstein condensate
• Fingerprinting Rotons in a Dipolar Condensate: Super-Poissonian Peak in the Atom-Number Fluctuations
• Magnetism in a lattice of spinor Bose condensates
• Hartree-Fock-Bogoliubov Theory of Dipolar Fermi Gases
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• Correlations of strongly interacting ultracold dipolar bosons in optical lattices
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• Bogoliubov Theory of Dipolar Bose Gas in Weak Random Potential
• Exact solutions and stability of rotating dipolar Bose-Einstein condensates in the Thomas-Fermi limit
• Supersolid Phase of Cold Fermionic Polar Molecules in 2D Optical Lattices
• Transition to miscibility in linearly coupled binary dipolar Bose-Einstein condensates
• Critical Temperature of Weakly Interacting Dipolar Condensates
• Fermi surface of a trapped dipolar Fermi gas
• Aligned dipolar Bose-Einstein condensate in a double-well potential: From cigar-shaped to pancake-shaped
• Expansion of a dipolar condensate
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• Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential
• Instabilities leading to vortex lattice formation in rotating Bose-Einstein condensates
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• Depletion and fluctuations of a trapped dipolar Bose-Einstein condensate in the roton regime
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• Interaction potential between dynamic dipoles: polarized excitons in strong magnetic fields
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• Phase transition from straight into twisted vortex-lines in dipolar Bose-Einstein condensates
• Stable, mobile, dark-in-bright, dipolar Bose-Einstein condensate soliton
• The field inside a random distribution of parallel dipoles
• Detecting One-Dimensional Dipolar Bosonic Crystal Orders via Full Distribution Functions
• Bose-Einstein condensation of trapped atoms with dipole interactions
• Bose-Einstein condensation of photons with nonlocal nonlinearity in a dye-doped graded-index microcavity
• Depletion of a Bose-Einstein condensate by laser-iduced dipole-dipole interactions
• Quasiequilibrium supersolid phase of a two-dimensional dipolar crystal
• An effective many-body theory for strongly interacting polar molecules
• Vortex patterns and the critical rotational frequency in rotating dipolar Bose-Einstein condensates
• Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation
• The low-energy excitation spectrum of one-dimensional dipolar quantum gases
• Numerical method for evolving the dipolar projected Gross-Pitaevskii equation
• Bifurcations, order, and chaos in the Bose-Einstein condensation of dipolar gases
• The stability and free expansion of a dipolar Fermi gas
• Weakly interacting two-dimensional system of dipoles: limitations of mean-field theory
• Density Functional of a Two-Dimensional Gas of Dipolar Atoms: Thomas-Fermi-Dirac Treatment
• Phase separation of a two-component dipolar Bose-Einstein condensate in the quasi-one-dimensional and quasi-two-dimensional regime
• Tracking azimuthons in nonlocal nonlinear media
• Rotating three-dimensional solitons in Bose Einstein condensates with gravity-like attractive nonlocal interaction
• Spin textures in condensates with large dipole moments
• Ultracold dipolar few-boson ensembles in a triple well trap
• Collapse suppression and stabilization of dipole solitons in two-dimensional media with anisotropic semi-local nonlinearity
• Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases
• Collapse in the nonlocal nonlinear Schrödinger equation
• Luttinger model approach to interacting one-dimensional fermions in a harmonic trap
• Entanglement Between Bose-Einstein Condensates
• Quantum hydrodynamic theory of quantum fluctuations in dipolar Bose-Einstein condensate
• Stability of solitary waves in random nonlocal nonlinear media
• Finite temperature stability of a trapped dipolar Bose gas
• Collapse instability of solitons in the nonpolynomial Schrödinger equation with dipole-dipole interactions
• A magic tilt angle for stabilizing two-dimensional solitons by dipole-dipole interactions
• Collective oscillations of dipolar Bose-Einstein condensates and accurate comparison between contact and dipolar interaction
• Arbitrary-angle rotation of the polarization of a dipolar Bose-Einstein condensate
• Stability and excitations of a bilayer of strongly correlated dipolar Bosons
• Demixing and symmetry breaking in binary dipolar Bose-Einstein condensate solitons
• Changes of the topological charge of vortices
• Statics and dynamics of a binary dipolar Bose-Einstein condensate soliton
• Decoupled sound and amplitude modes in trapped dipolar supersolids
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• Phenomenological theory of spinor Bose-Einstein condensates
• A dipolar droplet bound in a trapped Bose-Einstein condensate
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• Infrared behavior of dipolar Bose systems at low temperatures
• Symmetry-breaking thermally induced collapse of dipolar Bose-Einstein condensates
• Exact analytical soliton solutions in dipolar BEC
• Effective dipole-dipole interactions in multilayered dipolar Bose-Einstein condensates
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• Stabilization of trapless dipolar Bose-Einstein condensates by temporal modulation of the contact interaction
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• Laser Cooling of Trapped Fermi Gases deeply below the Fermi Temperature
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• Finite Temperature Dipolar ultra-cold Bose gas with Exchange Interactions
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• Ground state of an ultracold Fermi gas of tilted dipoles in elongated traps
• Heteronuclear quantum gas mixtures
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• Nonlocal field theory of quasiparticle scattering in dipolar Bose-Einstein condensates
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• Self-consistent field theory of polarized BEC: dispersion of collective excitation
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• Ultracold heteronuclear molecules and ferroelectric superfluids
• Tuning the structural and dynamical properties of a dipolar Bose-Einstein condensate: Ripples and instability islands
• Dispersion properties of transverse waves propagating in the electrically polarized BECs
• Stability of the density-wave state of a dipolar condensate in a pancake trap
• Bright solitons in a quasi-one-dimensional reduced model of a dipolar Bose-Einstein condensate with repulsive short-range interactions
• Critical Trap Aspect Ratios For Dipolar BEC
• On the applicability of the classical dipole-dipole interaction for polar Bose-Einstein condensates
• Topological defects in rotating spin-orbit-coupled dipolar spin-1 Bose-Einstein condensates
• A local exchange theory for trapped dipolar gases
• Small-amplitude nonlinear modes under the combined effect of the parabolic potential, nonlocality and $\mathcal{P}\mathcal{T}$ symmetry
• Stable and mobile excited two-dimensional dipolar Bose-Einstein condensate solitons
• Finite resolution fluctuation measurements of a trapped Bose-Einstein condensate
• Modification of scattering lengths via magnetic dipole-dipole interactions
• Superfluid pairing in a mixture of a spin-polarized Fermi gas and a dipolar condensate
• Novel soliton in dipolar BEC caused by the quantum fluctuations
• Observing collapse in two colliding dipolar Bose-Einstein condensates
• Vortices in Bose-Einstein Condensates: Theory
• Effect of impurities on the transition temperature of a dilute dipolar tapped Bose gase
• Tightly bound solitons and vortices in three-dimensional bosonic condensates with the electromagnetically-induced gravity
• Creation of topological states of a Bose-Einstein condensate in a plaquette
• Speed of sound of a Bose--Einstein condensate with dipole--dipole interactions
• Normal form expansions and thermal decay rates of Bose-Einstein condensates with short- and long-range interaction
• Topological order-by-disorder in orbitally degenerate dipolar bosons in zig-zag lattice
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• Spatially-periodic states in a strongly dipolar ${}^{164}$Dy-${}^{162}$Dy mixture
• Anisotropic potential immersed in a dipolar Bose-Einstein condensate
• Density engineering via inter-condensate dipole-dipole interactions
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• A symbiotic nondipolar droplet supersolid in a binary dipolar-nondipolar Dy-Rb mixture
• Optical-plug-assisted spin vortex in a ${}^{87}$Rb dipolar spinor Bose-Einstein condensate
• Electric-Field Control of Josephson Oscillations in Dipolar Bose-Einstein Condensates
• A Kaleidoscope of Topological Structures in Dipolar Bose-Einstein Condensates with Weyl-Like Spin-Orbit Coupling in Anharmonic Trap