Mean-field expansion in Bose-Einstein condensates with finite-range interactions

Abstract

We present a formal derivation of the mean-field expansion for dilute Bose-Einstein condensates with two-particle interaction potentials which are weak and finite-range, but otherwise arbitrary. The expansion allows for a controlled investigation of the impact of microscopic interaction details (e.g., the scaling behavior) on the mean-field approach and the induced higher-order corrections beyond the s-wave scattering approximation.

6 pages of RevTex4; extended discussion, added references

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• Beyond Mean-Field Low-Lying Excitations of Dipolar Bose Gases
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• Path-integral Monte Carlo study on a droplet of a dipolar Bose-Einstein condensate stabilized by quantum fluctuation
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• Rotating a supersolid dipolar gas
• Liquid quantum droplets of ultracold magnetic atoms
• Roton Excitations in an Oblate Dipolar Quantum Gas
• Quantized vortices in dipolar supersolid Bose-Einstein condensed gases
• The Fate of the Higgs Mode in a Trapped Dipolar Supersolid
• Supersolidity in Two-Dimensional Trapped Dipolar Droplet Arrays
• Properties of a dipolar condensate with three-body interactions
• Supersolidity in ultra-cold dipolar gases
• Quantum Bose-Fermi droplets
• Glitches in rotating supersolids
• Strongly anisotropic vortices in dipolar quantum droplets
• Theory for Self-Bound States of Dipolar Bose-Einstein Condensates
• Quantum droplets of quasi-one-dimensional dipolar Bose-Einstein condensates
• A fermionic impurity in a dipolar quantum droplet
• Properties of strongly dipolar Bose gases beyond the Born approximation
• Vortices in dipolar Bose-Einstein condensates
• Self-bound Doubly-Dipolar Bose-Einstein condensates
• Beyond mean-field properties of binary dipolar Bose mixtures at low temperatures
• Phonon Stability of Quantum Droplets in a dipolar Bose gases
• Droplet Arrays in Doubly-Dipolar Bose-Einstein condensates
• Supersolid Stacks in Antidipolar Bose-Einstein Condensates
• Toroidal Dipolar Supersolid with a Rotating Weak Link
• Breathing Mode of a Bose-Einstein Condensate Immersed in a Fermi Sea
• Decoupled sound and amplitude modes in trapped dipolar supersolids
• Zero-energy modes of two-component Bose-Bose droplets
• Infrared behavior of dipolar Bose systems at low temperatures
• Manifestation of relative phase in dynamics of two interacting Bose-Bose droplets
• Supersolid formation in a dipolar condensate by roton instability
• Self-bound droplets of light with orbital angular momentum
• Spontaneous dipolar Bose-Einstein condensation on the surface of a cylinder
• Quantum Landau damping in dipolar Bose-Einstein condensates
• Two-dimensional quantum droplets in binary quadrupolar condensates
• Dynamical Aspects of Analogue Gravity: The Backreaction of Quantum Fluctuations in Dilute Bose-Einstein Condensates
• Two-component droplet phases and their spectral stability in one dimension
• Induced supersolidity and hypersonic flow of a dipolar Bose-Einstein Condensate in a rotating bubble trap
• Nonlocal field theory of quasiparticle scattering in dipolar Bose-Einstein condensates
• Self-consistent Description of Bose-Bose Droplets: Modified Gapless Hartree-Fock-Bogoliubov Method
• Limitation of the Lee-Huang-Yang interaction in forming a self-bound state in Bose-Einstein condensates
• Kibble-Zurek scaling of the superfluid-supersolid transition in an elongated dipolar gas
• Anomalous dispersion of shear waves in dipolar supersolids
• A quantum Monte Carlo based density functional for Dysprosium dipolar system
• Low-density expansions for the homogeneous dipolar Bose gas at zero temperature
• Signatures of rigidity and second sound in dipolar supersolids
• Vortex pair dynamics in three-dimensional homogeneous dipolar superfluids
• Unveiling Supersolid Order via Vortex Trajectory Correlations
• Mini droplet, mega droplet and stripe formation in a dipolar condensate
• Phase-induced vortex pinning in rotating supersolid dipolar systems
• Cosmological constant in a quantum fluid model
• Dipole-mode and scissors-mode oscillations of a dipolar supersolid
• Interaction-Induced Dimensional Crossover through Full 3D to 1D
• Roadmap to vortex nucleation below critical rotation frequency in a dipolar Bose-Einstein condensate
• Supersolid phase in two-dimensional soft-core bosons at finite temperature
• Expansion dynamics of a cylindrical-shell-shaped strongly dipolar condensate
• Phase diagram and elementary excitations of strongly interacting droplets with non-local interactions
• Adiabatic sweep theorem for three-dimensional dipolar Bose gases
• Quantum backreaction effect in optical solitons
• Giant vortex in a harmonically-trapped rotating dipolar ${}^{164}$Dy condensate
• Anomalous non-thermal fixed point in a quasi-two-dimensional dipolar Bose gas
• Spatially-periodic states in a strongly dipolar ${}^{164}$Dy-${}^{162}$Dy mixture
• Number-conserving solution for dynamical quantum backreaction in a Bose-Einstein condensate
• Bogoliubov theory of a Bose-Einstein condensate of rigid rotor molecules
• Cavity-induced quantum droplets
• A symbiotic nondipolar droplet supersolid in a binary dipolar-nondipolar Dy-Rb mixture
• Quasiparticle spectra of mixtures of dipolar and non-dipolar condensates at zero and finite temperatures
• Dynamical signatures of superfluidity and shear rigidity in different phases of a dipolar Bose-Einstein condensate
• Strongly dipolar molecular Bose-Einstein condensates: From few- to many-body physics
• Vortex dynamics in rotating dipolar supersolids across Josephson and self-trapping regimes
• Engineering quantum droplet formation by cavity-induced long-range interactions
• Diminished quantum depletion and correlated droplets in one-dimensional dipolar Bose gas
• Generation of wave turbulence in dipolar gases driven across their phase transitions
• Optical response of the supersolid polaron