Effects of entanglement on vortex dynamics in the hydrodynamic representation of quantum mechanics
arXiv:1902.08400 · doi:10.1142/S0219749920500306
Abstract
The hydrodynamic representation of quantum mechanics describes virtual flow as if a quantum system were fluid in motion. This formulation illustrates pointlike vortices when the phase of a wavefunction becomes nonintegrable at nodal points. We study the dynamics of such pointlike vortices in the hydrodynamic representation for a two-particle wavefunction. In particular, we discuss how quantum entanglement influences vortex-vortex dynamics. For this purpose, we employ the time-dependent quantum variational principle combined with the Rayleigh-Ritz method. We analyze the vortex dynamics and establish connections with Dirac's generalized Hamiltonian formalism.
arXiv comment25 pages, no figures, Accepted for publication in International Journal of Quantum Information; v3 some typos fixed
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