9 citations · 12 across the 9 of their papers we have counts for
4 papers · 1 filter
Vortex precession and exchange in a Bose-Einstein condensate
Julien Garaud, Jin Dai, Antti J. Niemi
Vortices in a Bose-Einstein condensate are modelled as spontaneously symmetry breaking minimum energy solutions of the time dependent Gross-Pitaevskii equation, using the method of…
Rotation by shape change, autonomous molecular motors and effective timecrystalline dynamics
Xubiao Peng, Jin Dai, Antti J. Niemi
A deformable body can rotate even with no angular momentum, simply by changing its shape. A good example is a falling cat, how it maneuvers in air to land on its feet. Here a first…
Classical Hamiltonian Time Crystals -- General Theory And Simple Examples
Jin Dai, Antti J. Niemi, Xubiao Peng
We focus on a Hamiltonian system with a continuous symmetry, and dynamics that takes place on a presymplectic manifold. We explain how the symmetry can become spontaneously broken…
Provenance of classical Hamiltonian time crystals
Anton Alekseev, Dai Jin, Antti J. Niemi
Classical Hamiltonian systems with conserved charges and those with constraints often describe dynamics on a pre-symplectic manifold. Here we show that a pre-symplectic manifold is…