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ENTANGLEMENT AND QUANTUM CONTROL OF COLD ATOMS
CONFINED IN AN OPTICAL LATTICE
CARLO SIAS
Università di Pisa
with Roberto Franzosi, Matteo Cristiani, and
Ennio Arimondo
Quantum Computers, algorithms and chaos Varenna
4-15/07/2005
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Entanglement in an Optical Lattice
D. Jaksch et al., Phys Rev Lett. 82, 1975
(1999) O. Mandel et al. Nature (London) 425, 937
(2003)
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Entanglement in an Optical Lattice
D. Jaksch et al., Phys Rev Lett. 82, 1975
(1999) O. Mandel et al. Nature (London) 425, 937
(2003)
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Entanglement in an Optical Lattice
D. Jaksch et al., Phys Rev Lett. 82, 1975
(1999) O. Mandel et al. Nature (London) 425, 937
(2003)
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q q Lattice
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q q Lattice
q
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Experimental Realizations with BEC
Morsch et al. PRL 87,140402 (2001) l 780 nm, d
1.56 mm, q 29 deg
Hadzibabic et al. PRL 93,180403 (2004) l 532
nm, d 2.7 mm, q 11.5 deg
Albiez et al. PRL 95,010402 (2005) l 811 nm, d
5.2 mm, q 9 deg
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Single site addressing?
E
mF2
2D
F2
B
D
F1
xi
xi1
x
mF1
3(Di1-Di)3mFgFmBb(xi1 - xi)
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Single site addressing?
E
mF2
2D
F2
B
D
F1
xi
xi1
x
mF1
3(Di1-Di)3mFgFmBb(xi1 - xi)
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Filling the lattice
Hadzibabic et al. PRL 93,180403 (2004)
30 condensates of 104 atoms
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Filling the lattice
Hadzibabic et al. PRL 93,180403 (2004)
30 condensates of 104 atoms
w 15Hz x 2p 2R 17mm
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Analytical calculation
F1
Ex0
s(-)
s(-)
s()
s()
F1
mF1
mF0
mF-1
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Analytical calculation
F1
Ex0
s(-)
s(-)
s()
s()
F1
mF1
mF0
mF-1
F1
p
p
p
F1
mF1
mF0
mF-1
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Analytical calculation
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Analytical calculation
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Conclusions
q -q lattice for single site addressing in an
optical lattice
Interactions with single atoms by use of a
magnetic field gradient
N1 filling factor in a 3D lattice
Strong dependence on the polarization of the
lattice beams