UNDER ETERNAL CONSTRUCTION...
You might want to have a look at these for the time being:
- Movies
- NUCLEATION OF VORTICES IN ROTATING BECs
- γ=0.01, μ=5, Ω=0.2, Ω_rot=0.37
[ movie (avi, 31Mb) ] ,
[ movie (mpeg, 7Mb) ].
- γ=0.01, μ=10, Ω=0.2, Ω_rot=0.3
[ movie (avi, 72Mb) ] ,
[ movie (mpeg, 16Mb) ].
- γ=0.01, μ=5, Nv=5, Ω=0.2, Ω_rot=0.37, perturb every 105s
[ movie (avi, 19Mb) ] ,
[ movie (mpeg, 3.5Mb) ].
- γ=0.1, μ=5, Ω=0.2, Ω_rot=0.37
[ movie (avi, 14Mb) ] ,
[ movie (mpeg, 3Mb) ].
- γ=0.1, μ=10, Ω=0.2, Ω_rot=0.3
[ movie (avi, 10Mb) ] ,
[ movie (mpeg, 2.5Mb) ].
- 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?
- Destabilization of a stationary DS [Rb87, ND=87,696, (fx,fy,fz)=(85,133,5.9) Hz, (Nx,Ny,Nz)=(31,31,451)]
[ t=1:400 ms ],
[ t=50:100 ms ].
- Two interacting Vortex Lines (VLs): [ND=87,740, (Nx,Ny,Nz)=(43,29,439)]
» Centered about the y-axis:
[ 2D integrated ],
[ Density isosurface ]
» Slightly displaced in the y-direction:
[ 2D integrated ],
[ Density isosurface ]
» Slightly more displaced in the y-dir (larger leapfrogging dist):
[ 2D integrated ],
[ Density isosurface ]
» frac_z02_2.2_x00_00:
[ 2D integrated ],
[ Density isosurface (+ x-cut) ],
[ Density isosurface (+ y-cut) ]
» frac_z04_05_x00_00:
[ 2D integrated ],
[ Density isosurface (+ x-cut) ],
[ Density isosurface (+ y-cut) ]
- Two chasing DSs:
» x1=-10, x2=-30, vel_1
[ 2D integrated ],
[ Density isosurface (+ x-cut) ].
» x1=-10, x2=-30, vel_2 (‹ vel_1)
[ 2D integrated ],
[ Density isosurface (+ x-cut) ].
» x1=10, x2=-10, vel_1
[ 2D integrated ],
[ Density isosurface (+ x-cut) ],
[ Density isosurface (+ y-cut) ].
» x1=10, x2=-10, vel_2 (‹ vel_1)
[ 2D integrated ],
[ Density isosurface (+ x-cut) ],
[ Density isosurface (+ y-cut) ].
- 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
- Three 3D BEC fragments colliding (Brian P. Anderson's experiment)
» Ramp down time = 0 ms: Density, phase and vorticity for phases=(0,0,0):
[ 2D movie ],
[ vorticity (zoom out) ],
[ vorticity (0<t<40) ],
[ vorticity (18<t<35) ],
[ density ],
[ both ].
» Ramp down time = 0 ms: Density, phase and vorticity for phases=(0,2*pi/3,4*pi/3):
[ 2D movie ],
[ vorticity (zoom out) ],
[ vorticity (0<t<40) ],
[ vorticity (18<t<35) ],
[ density ],
[ both ].
» Ramp down time = 50 ms: Density, phase and vorticity for phases=(0,0,0):
[ 2D movie ],
[ vorticity ],
[ density ].
» Ramp down time = 50 ms: Density, phase and vorticity for phases=(0,2*pi/3,4*pi/3):
[ 2D movie ],
[ vorticity ],
[ density ].
- 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
- MOLECULAR DYNAMICS FOR VORTEX LATTICES
- N_{v}=249, non periodic boundary conditions: triangular
core with circular shells.
» same charge [ movie
]
» mixed charges [ movie
]
- N_{v}=100, periodic box + fixed box angle = 90°:
triangular lattice
» random ICs [ movie
]
» IC = perturbed square lattice [ movie
]
- N_{v}=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:
» N_{v}=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
]
- Bose Einstein Condensates (BEC)
- Chemotaxis - cross diffusion equations