Collapse and stable self-trapping for Bose-Einstein condensates with 1/r^b type attractive interatomic interaction potential

Abstract

We consider dynamics of Bose-Einstein condensates with long-range attractive interaction proportional to $1/r^b$ and arbitrary angular dependence. It is shown exactly that collapse of Bose-Einstein condensate without contact interactions is possible only for $b\ge 2$. Case $b=2$ is critical and requires number of particles to exceed critical value to allow collapse. Critical collapse in that case is strong one trapping into collapsing region a finite number of particles. Case $b>2$ is supercritical with expected weak collapse which traps rapidly decreasing number of particles during approach to collapse. For $b<2$ singularity at $r=0$ is not strong enough to allow collapse but attractive $1/r^b$ interaction admits stable self-trapping even in absence of external trapping potential.

References in corpus (25)

• Theory of Bose-Einstein condensation in trapped gases
• The physics of dipolar bosonic quantum gases
• Bose-Einstein condensation of chromium
• Dynamics of collapsing and exploding Bose-Einstein condensates
• Bose-Einstein condensation in trapped dipolar gases
• Collapse arrest and soliton stabilization in nonlocal nonlinear media
• Strong dipolar effects in a quantum ferrofluid
• Controlled Collapse of a Bose-Einstein Condensate
• Stabilizing a purely dipolar quantum gas against collapse
• 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
• Strongly correlated gases of Rydberg-dressed atoms: quantum and classical dynamics
• Three-body interactions with cold polar molecules
• Bose Condensates with 1/r Interatomic Attraction: Electromagnetically Induced ``Gravity''
• Rabi flopping between ground and Rydberg states with dipole-dipole atomic interactions
• Rydberg excitation of Bose-Einstein condensates
• Solitons in quasi one-dimensional Bose-Einstein condensates with competing dipolar and local interactions
• Dynamics of Collapse of a Confined Bose Gas
• Nonlocal interactions prevent collapse in negative scattering length Bose-Einstein gases
• Collapse of Bose-Einstein condensate with dipole-dipole interactions
• Non-Gaussian Statistics of Multiple Filamentation
• How much laser power can propagate through fusion plasma?
• Critical chemotactic collapse
• Dynamics and stability of Bose-Einstein condensates with attractive 1/r interaction

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• Logarithmic scaling of the collapse in the critical Keller-Segel equation
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• On well-posedness and blow-up in the generalized Hartree equation
• Stable blow-up dynamics in the $L^2$-critical and $L^2$-supercritical generalized Hartree equation