Variational theory for the ground state and collective excitations of an elongated dipolar condensate
P Blair Blakie, D Baillie, Sukla Pal
Abstract
Abstract We develop a variational theory for a dipolar condensate in an elongated (cigar shaped) confinement potential. Our formulation provides an effective one-dimensional extended meanfield theory for the ground state and its collective excitations. We apply our theory to investigate the properties of rotons in the system comparing the variational treatment to a full numerical solution. We consider the effect of quantum fluctuations on the scattering length at which the roton excitation softens to zero energy.
Topics & Concepts
PhysicsGround stateRotonDipoleVariational methodExcitationQuantum mechanicsScatteringVariational principleQuasiparticleCondensed matter physicsQuantum electrodynamicsQuantumVariational analysisClassical mechanicsZero (linguistics)Statistical physicsCalculus of variationsScattering theoryGeneral theoryState (computer science)Dispersion relationEffective field theoryCold Atom Physics and Bose-Einstein CondensatesQuantum chaos and dynamical systemsQuantum Mechanics and Non-Hermitian Physics