Anisotropic pseudo-potential for polarized dilute quantum gases

Abstract

Anisotropic pseudopotential relevant to collisions of two particles polarized by external field is rigorously derived and its properties are investigated. Such low-energy pseudopotential may be useful in describing collective properties of dilute quantum gases, such as molecules polarized by electric field or metastable ${}^3{P}_2$ atoms polarized by magnetic field. The pseudopotential is expressed in terms of reactance (K--) matrix and derivatives of Dirac delta-function. In most applications it may be represented as a sum of traditional spherically-symmetric contact term and anisotropic part. The former contribution may be parameterized by a generalized scattering length. The anisotropic part of pseudopotential may be characterized by off-diagonal scattering length for dipolar interactions and off-diagonal scattering volume for quadrupolar interactions. Two-body matrix element of the pseudopotential in a basis of plane waves is also derived.

1 Fig, submitted to Phys. Rev. A

References in corpus (14)

• Theory of Bose-Einstein condensation in trapped gases
• Bose-Einstein condensation in trapped dipolar gases
• Quantum phases of dipolar bosons in optical lattices
• Tuning the dipolar interaction in quantum gases
• Bose-Einstein condensation with magnetic dipole-dipole forces
• Trapped condensates of atoms with dipole interactions
• 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
• Superfluid pairing in a polarized dipolar Fermi gas
• "Supersolid" self-bound Bose condensates via laser-induced interatomic forces
• Low energy atomic collision with dipole interactions
• Ultracold collision properties of metastable alkaline-earth atoms
• Semiclassical theory of trapped fermionic dipoles
• Probing dipolar effects with condensate shape oscillation

Cited by in corpus (46)

• The physics of dipolar bosonic quantum gases
• Spinor Bose-Einstein condensates
• Condensed Matter Theory of Dipolar Quantum Gases
• Dipolar physics: A review of experiments with magnetic quantum gases
• Manipulation of Molecules with Electromagnetic Fields
• Multiplet Structure of Feshbach Resonances in non-zero partial waves
• Ultracold Dipolar Gases in Optical Lattices
• On an exact solution of the Thomas-Fermi equation for a trapped Bose-Einstein condensate with dipole-dipole interactions
• Novel vortex structures in dipolar condensates
• Quasi-Universal Dipolar Scattering in Cold and Ultracold Gases
• Dipolar Bose gases: Many-body versus mean-field description
• Instabilities and the roton spectrum of a quasi-1D Bose-Einstein condensed gas with dipole-dipole interactions
• Quantum phase transitions of polar molecules in bilayer systems
• Field-linked States of Ultracold Polar Molecules
• Dipolar confinement-induced resonances of ultracold gases in waveguides
• Global analysis of data on the spin-orbit coupled $A^1{\Sigma }_u^{+}$ and $b^3{\Pi }_u$ states of Cs2
• Pseudo-potential treatment of two aligned dipoles under external harmonic confinement
• Pseudo-potential of a power-law decaying interaction in two-dimensional systems
• Calibrating dipolar interaction in an atomic condensate
• Differential Scattering and Rethermalization in Ultracold Dipolar Gases
• Low-energy resonances and bound states of aligned bosonic and fermionic dipoles
• Critical Temperature of Weakly Interacting Dipolar Condensates
• Bose-Einstein Condensation Temperature of Dipolar Gas in Anisotropic Harmonic Trap
• Exploring ultracold collisions in ${}^6$Li-${}^{53}$Cr Fermi mixtures: Feshbach resonances and scattering properties of a novel alkali-transition metal system
• Bose-Einstein condensation of trapped atoms with dipole interactions
• An effective many-body theory for strongly interacting polar molecules
• Structure and melting behavior of classical bilayer crystals of dipoles
• Ultra-cold Fermi gases with resonant dipole-dipole interaction
• s-Wave Scattering Resonances Induced by Dipolar Interactions of Polar Molecules
• Resonant control of polar molecules in an optical lattice
• Observing dipolar confinement-induced resonances in waveguides
• Few-body physics of ultracold atoms and molecules with long-range interactions
• Ground state properties and excitation spectrum of a two dimensional gas of bosonic dipoles
• Classical phase-space approach for coherent matter waves
• Exploring integrability-chaos transition with a sequence of independent perturbations
• Controlling the s-wave scattering length with non-resonant light: Predictions of an asymptotic model
• A dressing of zero-range potentials and electron-molecule scattering problem at Ramsauer-Townsend minimum
• Controlling ultracold $p$-wave collisions with non-resonant light: Predictions of an asymptotic model for the generalized scattering volume
• Effect of short-range interaction for collision of ultracold dipoles
• Defining the $p$-wave scattering volume in the presence of dipolar interactions
• Tunable high-temperature thermodynamics of weakly-interacting dipolar gases
• Quantum chaos in a harmonic waveguide with scatterers
• Fitting ultracold resonances without a fit
• Universality in rotating strongly interacting gases
• Low-energy scatterings and pseudopotential of polarized quadrupoles
• Analysis of two and three dipolar bosons in a spherical harmonic trap