Beyond mean-field theory for attractive bosons under transverse harmonic confinement

Dynamical mean-field theory for bosons

We discuss the recently developed bosonic dynamical mean-field theory (B-DMFT) framework, which maps a bosonic lattice model onto the selfconsistent solution of a bosonic impurity model with coupling to a reservoir of normal and condensed bosons. The effective impurity action is derived in several ways: (i) as an approximation to the kinetic energy functional of the lattice problem, (ii) using ...

Beyond Gross-Pitaevskii Mean Field Theory

Vortices as Yukawa bosons in the two-dimensional Harmonic confinement

A system of N vortices in a two-dimensional harmonic trap is considered. The vortices are treated as Yukawa bosons. The problem is solved using the Density functional theory within Kohn-Sham scheme.

Anisotropic Hydrodynamic Mean-Field Theory for Semiflexible Polymers under Tension

We introduce an anisotropic mean-field approach for the dynamics of semiflexible polymers under tension. The theory is designed to exactly reproduce the lowest order equilibrium averages of a stretched polymer, and includes the non-trivial influence of long-range hydrodynamic coupling. Validated by Brownian hydrodynamics simulations, the theory is highly accurate over a broad parameter range, e...

Do attractive bosons condense?

Motivated by experiments on bose atoms in traps which have attractive interactions (e.g. 7Li), we consider two models which may be solved exactly. We construct the ground states subject to the constraint that the system is rotating with angular momentum proportional to the number of atoms. In a conventional system this would lead to quantised vortices; here, for attractive interactions, we find...