Ultra-fast converging path-integral approach for rotating ideal Bose–Einstein condensates

Fast Converging Path Integrals for Time-Dependent Potentials

We calculate the short-time expansion of the propagator for a general many-body quantum system in a time-dependent potential to orders that have not yet been accessible before. To this end the propagator is expressed in terms of a discretized effective potential, for which we derive and analytically solve a set of efficient recursion relations. Such a discretized effective potential can be used...

Fast rotating Bose-Einstein condensates in an asymmetric trap

We investigate the effect of the anisotropy of a harmonic trap on the behaviour of a fast rotating Bose-Einstein condensate. This is done in the framework of the 2D Gross-Pitaevskii equation and requires a symplectic reduction of the quadratic form defining the energy. This reduction allows us to simplify the energy on a Bargmann space and study the asymptotics of large rotational velocity. We ...

Efficiently computing vortex lattices in fast rotating Bose-Einstein condensates

We propose an efficient and spectrally accurate numerical method for computing vortex lattice structures in fast rotating Bose-Einstein condensates (BECs) with strongly repulsive interactions. The key ingredients of the method is to discretize the normalized gradient flow under rotational frame by Fourier spectral method in space and by backward Euler method in time. Different vortex lattice st...

Fast rotating condensates in an asymmetric harmonic trap

Where May Ultra-fast Rotating Neutron Stars Be Hidden?

The existence of ultra-fast rotating neutron stars (spin period P ∼< 1 ms) is expected on the basis of current models for the secular evolution of interacting binaries, though they have not been detected yet. Their formation depends on the quantity of matter accreted by the neutron star which, in turn, is limited by the mechanism of mass ejection from the binary. An efficient mass ejection can ...