Quantum fields#

Gross-Pitaevskii mean-field theory for a trapped, rotating Bose-Einstein condensate: quantized vortex detection, a bound vortex-antivortex pair with canceling net winding, ground-state relaxation, the critical rotation frequency for vortex nucleation, a vortex genuinely precessing in real time, self-focusing wave collapse, and the Casimir vacuum force.

The critical rotation frequency for BEC vortex nucleation

The critical rotation frequency for BEC vortex nucleation

The Casimir energy grows weaker as plates separate

The Casimir energy grows weaker as plates separate

Relaxing to the Gross-Pitaevskii interacting ground state

Relaxing to the Gross-Pitaevskii interacting ground state

A vortex genuinely precessing in real time

A vortex genuinely precessing in real time

Self-focusing collapse of an attractive condensate

Self-focusing collapse of an attractive condensate

Detecting a single quantum of circulation

Detecting a single quantum of circulation

A bound vortex-antivortex pair: opposite windings that cancel at long range

A bound vortex-antivortex pair: opposite windings that cancel at long range