Aligned dipolar Bose-Einstein condensate in a double-well potential: From cigar-shaped to pancake-shaped

Abstract

We consider a Bose-Einstein condensate (BEC), which is characterized by long-range and anisotropic dipole-dipole interactions and vanishing s-wave scattering length, in a double-well potential. The properties of this system are investigated as functions of the height of the barrier that splits the harmonic trap into two halves, the number of particles (or dipole-dipole strength) and the aspect ratio $\lambda$, which is defined as the ratio between the axial and longitudinal trapping frequencies ${\omega }_z$ and ${\omega }_{\rho }$. The phase diagram is determined by analyzing the stationary mean-field solutions. Three distinct regions are found: a region where the energetically lowest lying stationary solution is symmetric, a region where the energetically lowest lying stationary solution is located asymmetrically in one of the wells, and a region where the system is mechanically unstable. For sufficiently large aspect ratio $\lambda$ and sufficiently high barrier height, the system consists of two connected quasi-two-dimensional sheets with density profiles whose maxima are located either at $\rho =0$ or away from $\rho =0$. The stability of the stationary solutions is investigated by analyzing the Bogoliubov de Gennes excitation spectrum and the dynamical response to small perturbations. These studies reveal unique oscillation frequencies and distinct collapse mechanisms. The results derived within the mean-field framework are complemented by an analysis based on a two-mode model.

arXiv comment21 pages, 16 figures

References in corpus (51)

• Many-Body Physics with Ultracold Gases
• Theory of Bose-Einstein condensation in trapped gases
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• A High Phase-Space-Density Gas of Polar Molecules
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Bose-Einstein condensation of chromium
• Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
• Josephson Junction Arrays with Bose-Einstein Condensates
• Squeezing and entanglement in a Bose-Einstein condensate
• Bose-Einstein condensation in trapped dipolar gases
• Quantum phases of dipolar bosons in optical lattices
• Formation of ultracold polar molecules in the rovibrational ground state
• Roton-maxon spectrum and stability of trapped dipolar condensates
• Atom interferometry with Bose-Einstein condensates in a double-well potential
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Stabilizing a purely dipolar quantum gas against collapse
• Quantum Gas of Deeply Bound Ground State Molecules
• Bose-Einstein condensation with magnetic dipole-dipole forces
• d-wave collapse and explosion of a dipolar Bose-Einstein condensate
• Trapped atomic condensates with anisotropic interactions
• Trapped condensates of atoms with dipole interactions
• Extreme tunability of interactions in a ${}^7$Li Bose-Einstein condensate
• The Gross-Pitaevskii Equation for Bose Particles in a Double Well Potential: Two Mode Models and Beyond
• Spontaneously modulated spin textures in a dipolar spinor Bose-Einstein condensate
• Radial and angular rotons in trapped dipolar gases
• Ground state and elementary excitations of single and binary Bose-Einstein condensates of trapped dipolar gases
• Controlling atom-atom interaction at ultralow temperatures by dc electric fields
• Bogoliubov modes of a dipolar condensate in a cylindrical trap
• Stability of quasi-two-dimensional Bose-Einstein condensates with dominant dipole-dipole interactions
• Metastable states of a gas of dipolar bosons in a 2D optical lattice
• Observation of Feshbach resonances in an ultracold gas of ${}^{52}$Cr
• Creation of a dipolar superfluid in optical lattices
• Josephson effects in dilute Bose-Einstein condensates
• Manifestations of the Roton Mode in Dipolar Bose-Einstein Condensates
• On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
• Vortex Lattices in Rotating Atomic Bose Gases with Dipolar Interactions
• Novel vortex structures in dipolar condensates
• "Supersolid" self-bound Bose condensates via laser-induced interatomic forces
• Collective and single particle excitations of a trapped Bose gas
• Magnetic dipolar interaction in an atomic Bose Einstein condensate interferometer
• Symmetry Breaking and Self-trapping of a Dipolar Bose-Einstein Condensate in a Double-well Potential
• Vortex Lattice in the Planar Bose-Einstein Condensates with Dipolar Interactions
• Dipolar Bose gases: Many-body versus mean-field description
• Ground-state structure and stability of dipolar condensates in anisotropic traps
• Angular collapse of dipolar Bose-Einstein condensates
• Coherent collapse of a dipolar Bose-Einstein condensate for different trap geometries
• Bose-Einstein condensates with a bent vortex in rotating traps
• Stability and Excitations of a Dipolar Bose-Einstein Condensate with a Vortex
• Vortex in a trapped Bose-Einstein condensate with dipole-dipole interactions
• Hybrid multi-site excitations in dipolar condensates in optical lattices

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• Quantum dynamics of few dipolar bosons in a double-well potential
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• Dipolar Bose-Einstein condensates in triple-well potentials
• Two-mode dipolar bosonic junctions
• Rotational properties of non-dipolar and dipolar Bose-Einstein condensates confined in annular potentials
• Quantum correlations of few dipolar bosons in a double-well trap
• Tuning the structural and dynamical properties of a dipolar Bose-Einstein condensate: Ripples and instability islands
• Effects of Long-Range Nonlinear Interactions in Double-Well Potentials
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