Speaker
Description
The zero temperature dynamics of weakly interacting boson particles of confined and dilute BECs is described by a mean-field macroscopic wave function, ψ. To study the dynamical instabilities and relaxation to the equilibrium of the system, we perform numerical simulations using the time dependent GPE.
Inclusion of a damping term, γ into the GPE, we model the dissipative losses, which occur in the real environment. By using of the γ, the total energy is not conserved, it decreases. With dissipations fluctuations become damped and by inceasing γ, the path of vortices become shorter. With large γ fluctuations dissapear .
With vortex imprinting method, we imprint positive and negative vortices at location (x0, y0). We observe transformation of kinetic energy into sound energy: Esound = Ekinetic - Evortex
By generating a discontinuity in the phase, the system tries to smooth out this change and generate a soliton-like perturbation, which decays into vortices. Dark solitons have a local density minimum and a sharp phase gradient.
| Topic | Quantum information, Mathematical modeling of physical systems, complex dynamical behaviors, instabilities and chaos |
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