Effects of entanglement in quantum vortex dynamics
Satoya Imai · arXiv (Cornell University) · 2019
We study the vortex dynamics in the hydrodynamic representation of quantum mechanics for two particles, in which a pointlike vortex comes from a nonintegrable phase of a wavefunction. In particular, we introduce an ansatz for an entangled state of the two particles and discuss how entanglement affects the dynamics of vortex-vortex interaction. For this purpose, we employ the time-dependent quantum variational principle combined with the Rayleigh-Ritz method and elucidate the effects of entanglement on the approximate vortex dynamics.