few-body physics of ultracold atoms and molecules in confined geometry vladimir melezhik bogoliubov...
TRANSCRIPT
![Page 1: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/1.jpg)
Few-body physics of ultracold atoms and molecules in confined geometry
Vladimir Melezhik
Bogoliubov Lab. of Theoretical Physics, JINR, Dubna
Outline:
Experimental achievements (laser cooling, optical traps, atomic chips)
New physics: quantum gases, physics of Bose-Einstein condensations
Problems: low-dimensional few-body physics
Theoretical models (simple ones)
Resent results (extended models)
Perspectives, what is going to happen ?
3-5 Feb 2010, Dubna
![Page 2: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/2.jpg)
What happens if atoms scatter in excited states?
E
What happens in collision of two distinguishable particles in a harmonic waveguide if ?
What happens if inelastic collisions? Molecule formation?
![Page 3: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/3.jpg)
![Page 4: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/4.jpg)
![Page 5: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/5.jpg)
![Page 6: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/6.jpg)
![Page 7: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/7.jpg)
![Page 8: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/8.jpg)
1 2
N
![Page 9: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/9.jpg)
1 2
N
![Page 10: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/10.jpg)
![Page 11: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/11.jpg)
![Page 12: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/12.jpg)
![Page 13: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/13.jpg)
![Page 14: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/14.jpg)
![Page 15: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/15.jpg)
V.Melezhik,J.I.Kim,P.Schmelcher,Phys.Rev.A76,053611(2007)
![Page 16: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/16.jpg)
10-7
10-6
10-5
10-4
10-3
050
100150
200
04
8
12
R r
t=0
10-7
10-6
10-5
10-4
10-3
050100150200
04
8
12
R
r
t=8
10-7
10-6
10-5
10-4
10-3
050
100150
200
04
8
12
R r
t=6
10-7
10-6
10-5
10-4
10-3
050
100150
200
04
8
12
R r
t=4
![Page 17: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/17.jpg)
-200 -150 -100 -50 0 50 100 150 2000,00
0,05
0,10
0,15
0,20
0,25
0,30
-200 -150 -100 -50 0 50 100 150 2000,00
0,05
0,10
0,15
0,20
0,25
0,30
-200 -150 -100 -50 0 50 100 150 2000,00
0,05
0,10
0,15
0,20
0,25
0,30
-200 -150 -100 -50 0 50 100 150 2000,00
0,05
0,10
0,15
0,20
0,25
0,30
-200 -150 -100 -50 0 50 100 150 2000,00
0,05
0,10
0,15
0,20
0,25
0,30
![Page 18: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/18.jpg)
0 2 4 6 8
0,0
0,2
0,4
0,6
0,8
1,0
0 2 4 6 8
0 2 4 6 8
0
2
4
6
8
10
0 2 4 6 8
-10
-5
0
5
10
0 2 4 6 8
-10
-5
0
5
10
0 2 4 6 80,0
0,2
0,4
0,6
0,8
1,00 2 4 6 8
0,0
0,2
0,4
0,6
0,8
1,0
![Page 19: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/19.jpg)
0 2 4 6 8
-400
-200
0
200
400
0 2 4 6 8
-400
-200
0
200
400
0 2 4 6 80,00
0,04
0,08
0,12
0,16
0,20
0,240 2 4 6 8
0,00
0,04
0,08
0,12
0,16
0,20
0,24
0 2 4 6 8
-0,2
0,0
0,2
0,4
0,6
0,8
1,0
0 2 4 6 8
0 2 4 6 8
-0,2
0,0
0,2
0,4
0,6
0,8
1,0
![Page 20: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/20.jpg)
0 2 4 6 8
-0,2
0,0
0,2
0,4
0,6
0,8
1,00 2 4 6 8
-0,2
0,0
0,2
0,4
0,6
0,8
1,0
0 2 4 6 8
0
1
2
3
4
5
0 2 4 6 8
0
1
2
3
4
5
0 2 4 6 80,0
0,2
0,4
0,6
0,8
1,00 2 4 6 8
0,0
0,2
0,4
0,6
0,8
1,0
![Page 21: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/21.jpg)
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
t=0
z
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
z
t=2
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
z
t=4
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
t=6
|(z,=0,t)/r|2
z
![Page 22: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/22.jpg)
-200 -100 0 100 2000,0000
0,0005
0,0010
0,0015
t=0
|(z,=0,t)/r|2
z
-200 -100 0 100 2000,0000
0,0005
0,0010
0,0015
z
t=2
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0005
0,0010
0,0015
z
t=4
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0005
0,0010
0,0015
z
t=8
|(z,=0,t)/r|2
CIR
![Page 23: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/23.jpg)
![Page 24: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/24.jpg)
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
t=0
|(z,=0,t)/r
z
-200 -100 0 100 2000,000
0,005
0,010
0,015
z
t=2
|(z,=0,t)/r|2
-200 -100 0 100 2000,000
0,001
0,002
0,003
0,004
z
t=4
|(z,=0,t)/r|2
-200 -100 0 100 2000,0000
0,0002
0,0004
0,0006
t=8
z
|(z,=0,t)/r|2
![Page 25: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/25.jpg)
![Page 26: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/26.jpg)
![Page 27: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/27.jpg)
![Page 28: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/28.jpg)
![Page 29: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/29.jpg)
0,5 1,0 8 90
200
400
600
800
1000
0,5 1,0 8 90
200
400
600
800
1000
0,5 1,0 8 90,0
0,2
0,4
0,6
0,8
1,00,5 1,0 8 9
0,0
0,2
0,4
0,6
0,8
1,0
0,5 1,0 8 9-20
-10
0
10
200,5 1,0 8 9
-20
-10
0
10
20
Effect ofCM coupling withrelative atom-atommotion
![Page 30: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/30.jpg)
S.Seaidian, V.Melezhik, P.Schmelcher, Phys.Rev.A77, 042721(2007)
Multichannel atomic scattering in waveguides
![Page 31: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/31.jpg)
One open channel
![Page 32: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/32.jpg)
M.Moore, T.Bergeman and M.Olshanii, J.Phys.IV, 116, 69 (2004)
![Page 33: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/33.jpg)
Multi-channel scattering of bosons in confined geometries
![Page 34: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/34.jpg)
![Page 35: Few-body physics of ultracold atoms and molecules in confined geometry Vladimir Melezhik Bogoliubov Lab. of Theoretical Physics, JINR, Dubna Outline: Experimental](https://reader035.vdocument.in/reader035/viewer/2022062713/56649cf45503460f949c2732/html5/thumbnails/35.jpg)
Multi-channel scattering of fermions in confined geometries