UNDER ETERNAL CONSTRUCTION...

You might want to have a look at these for the time being:

• Movies

• NUCLEATION OF VORTICES IN ROTATING BECs
• SLOSHING OF BACKGROUND CLOUD DUE TO VORTEX DIPOLE
• 2D BREATHERS IN ELECTRICAL LATTICES
• VORTEX DYNAMICS IN PT POTENTIALS (μ=2)
• Bifurcation movie for even number of vortices: [ even ]
• 1 vortex: [ ε=0.2 ], [ ε=0.35 ]
• 2 vortices: [ ε=0.2 ]
• Depression (comming from 2 annihilated vortices): [ ε=0.4 ]
• 3 asymmetric vortices: [ ε=0.2 ]
• one vortex + one depression (comming from 2 annihilated vortices): [ ε=0.35 ]

• CHASING DARK SOLITONS?
• VORTEX RING (VR) DYNAMICS IN REPULSIVE BECs (courtesy of Ron Caplan)
• BRIGHT-DARK SOLITON OSCILATIONS IN A CIGAR-SHAPED BEC
• Harmonic oscillations
» Rb87, ND=4,410 and NB=1,116, fz=fy=133 Hz, fx=75.9, (Nx,Ny,Nz)=(21,21,351) [ movie ]
» Rb87, ND=5 and NB=672, fz=fy=133 Hz, fx=75.9, (Nx,Ny,Nz)=(21,21,351) [ movie ]
» Rb87, ND=15 and NB=132, fz=fy=133 Hz, fx=75.9, (Nx,Ny,Nz)=(21,21,351) [ movie ]
» Rb87, ND=88,251 and NB=1,048, fz=fy=133 Hz, fx=75.9, (Nx,Ny,Nz)=(21,21,351) [ movie ]
» Sengstock's experiment: Rb87, ND=92,432 and NB=7,973, fz=85 Hz, fy=133 Hz, fx=5.9, (Nx,Ny,Nz)=(21,21,351) [ movie ]
» 2 out-of-phase (attractive) DB collisions: Rb87, ND=5,243 and NB=817, fz=fy=133 Hz, fx=5.9, (Nx,Ny,Nz)=(15,15,151) [ movie ]
» 2 in-phase (repulsive) DB collisions: Rb87, ND=5,331 and NB=907, fz=fy=133 Hz, fx=5.9, (Nx,Ny,Nz)=(15,15,151) [ movie ]

• FARADAY PATTERNS IN CIGAR SHAPED BECs
• Patterns
» mass = 120K atoms, fr=160.5 Hz, fz=7 Hz, Nr=801, Nz=801, [ movie ]

• BECs COLLISIONS
• Two component BEC collisions
» Two fragments, one in each component, colliding (cropped domain): [ movie ]
» Two fragments, one in each component, colliding (full domain): [ movie ]

• MULTIPOLES IN BESSEL OLs
• Instabilities
» Unstable dipole (b=0.9, p=15) [ movie ]
» Unstable quadrupole (b=1, p=20) [ movie (t=[0,100]) ], [ movie (t=[100,200]) ]

• Different mesh and domain sizes (b=0.9, p=15)
» N=[64x64], L=[-8,8] and N=[128x128], L=[-16,16] [ movie ]
» N=[128x128], L=[-16,16] and N=[256x256], L=[-16,16] [ movie ]

• TWO COMPONENT BECs
• 50-50 of 360K atoms and all parameters from David Hall's experiment (no expansion)
» 3D view with side and bottom projections and with slice removed:
* Cuts at 60% and 30% for |1> and |2> respectively: [ movie ]
* Cuts at 50% and 55% for |1> and |2> respectively: [ movie ]

• 43-57 mix for a total of 375K atoms, dissipation=0.0010, Tf=200ms (no expansion)
» 3D view with side and bottom projections [ movie ]
» 3D view with side and bottom projections and with slice removed [ movie ]
» 3D isocontours pics of the dynamics:
» High definition snapshots [ 54 ms ] , [ 72 ms ] , [ 144 ms ] , [ 151 ms ]

• 50-50 mix for a total of 350K atoms, dissipation=0.0016, Tf=200ms (no expansion)
» 3D view (both components together) [ movie ]

• 50-50 mix for a total of 350K atoms, dissipation=0.002, Tf=200ms (no expansion)
» Top view (z-integrated) [ movie ]
» 3D view (both components together) [ movie ]
» R-Z view (computational coordinates) [ movie ]

• 50-50 mix for a total of 350K atoms, no dissipation, Tf=200ms (no expansion)
» Top view (z-integrated) [ movie ]
» 3D view (both components together) [ movie ]
» R-Z view (computational coordinates) [ movie ]

• 50-50 mix for a total of 332K atoms (no expansion)
» Top view (z-integrated) [ movie ]
» 3D view (both components together) [ movie ]
» 3D view (each components on its own) [ movie ]

• 80-20 mix for a total of 1,096K atoms (no expansion)
» Top view (z-integrated) [ movie ]
» 3D view (both components together) [ movie ]
» 3D view (each components on its own) [ movie ]
» R-Z view (computational coordinates) [ movie ]

• 80-20 mix for a total of 10,827K atoms (no expansion)
» Top view (z-integrated) [ movie ]
» 3D view (both components together) [ movie ]
» 3D view (each components on its own) [ movie ]
» R-Z view (computational coordinates) [ movie ]

• VORTICES IN BECs
• Vortex interactions with higher charge
» two vortices: charges -2 and +1 [ movie (0-400s) ], [ movie (400-800s) ]

• Vortex formation by phase engineering
» one vortex [ movie ] [ phase IC ]
» two vortices [ movie ] [ phase IC ]

• Vortex dynamics for two vortices
» two vortices: same charge [ movie ]
» two vortices: opposite charge [ movie ]

• Vortex dynamics for four vortices
» four nearby vortices (2+ and 2-) [ movie ]
» four vortices (2+ and 2-) [ movie ]
» four off-center vortices (4+) [ movie ]

• Vortex dynamics for many vortices from GPE eq.
» top view |u(x,y,t)|2 [ movie ]
» side view 1-|u(x,y,t)|2 [ movie ]

• PDE (GPE) vs ODE approximation
» 3 vortices (circles) [ movie ]
» 3 vortices (flowers) [ movie ]

• VORTEX LATTICES IN BECs BY PHASE IMPRINTING
• Imprinting only the phase (\Omega=0.04)
» with absorbing BCs [ side view ]
» without absorbing BCs [ top view ] [ side view ]

• Imprinting phase AND using Pade approximation
» Same vorticity [ top view ] [ side view ]
» Alternating vorticities [ top view ]

• MOLECULAR DYNAMICS FOR VORTEX LATTICES
• Nv=249, non periodic boundary conditions: triangular core with circular shells.
» same charge [ movie ]
» mixed charges [ movie ]

• Nv=100, periodic box + fixed box angle = 90°: triangular lattice
» random ICs [ movie ]
» IC = perturbed square lattice [ movie ]

• Nv=225, periodic box: triangular lattice
» box angle = 60° + square lattice in box [ movie ]
» box angle = 90° + random ICs [ movie ]
» box angle = 90° + random ICs + friction (final box angle = 60°) [ movie ]

• Oscillatory (Tkachenko) modes of the triangular lattice:
» Nv=240, IC = perturbed square lattice [ movie ]

• CHEMOTAXIS
• Formation of aggregates
» moving mesh vs. static mesh [ movie ]
» two moving meshes with different monitor functions [ movie ]

• Metastability
» Two chemotactic aggregates attracting each other using a moving mesh PDE [ movie ]
» Aggregate-boundary interactions:
> moving mesh vs. static mesh [ movie ]
> double vs. quad precision [ movie ]