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ENTANGLEMENT AND QUANTUM CONTROL OF COLD ATOMS CONFINED IN AN OPTICAL LATTICE CARLO SIAS Università di Pisa Quantum Computers, algorithms and chaos – Varenna.

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Presentation on theme: "ENTANGLEMENT AND QUANTUM CONTROL OF COLD ATOMS CONFINED IN AN OPTICAL LATTICE CARLO SIAS Università di Pisa Quantum Computers, algorithms and chaos – Varenna."— Presentation transcript:

1 ENTANGLEMENT AND QUANTUM CONTROL OF COLD ATOMS CONFINED IN AN OPTICAL LATTICE CARLO SIAS Università di Pisa Quantum Computers, algorithms and chaos – Varenna 4-15/07/2005 with Roberto Franzosi, Matteo Cristiani, and Ennio Arimondo

2 Entanglement in an Optical Lattice D. Jaksch et al., Phys Rev Lett. 82, 1975 (1999) O. Mandel et al. Nature (London) 425, 937 (2003)

3 Entanglement in an Optical Lattice D. Jaksch et al., Phys Rev Lett. 82, 1975 (1999) O. Mandel et al. Nature (London) 425, 937 (2003)

4 Entanglement in an Optical Lattice D. Jaksch et al., Phys Rev Lett. 82, 1975 (1999) O. Mandel et al. Nature (London) 425, 937 (2003)

5 – Lattice

6

7 Experimental Realizations with BEC Morsch et al. PRL 87, (2001) = 780 nm, d = 1.56 m, = 29 deg Hadzibabic et al. PRL 93, (2004) = 532 nm, d = 2.7 m, = 11.5 deg Albiez et al. PRL 95, (2005) = 811 nm, d = 5.2 m, = 9 deg

8 Single site addressing? F=2 F=1 2 E m F =2 m F =1 3( i+1 - i )=3m F g F B b(x i+1 - x i ) xixi x i+1 B x

9 Single site addressing? F=2 F=1 2 E m F =2 m F =1 3( i+1 - i )=3m F g F B b(x i+1 - x i ) xixi x i+1 B x Albiez et al. b=10 Gcm -1 ( i+1 - i ) 30Khz

10 Filling the lattice Hadzibabic et al. PRL 93, (2004) 30 condensates of 10 4 atoms

11 Filling the lattice Hadzibabic et al. PRL 93, (2004) 30 condensates of 10 4 atoms = 15Hz x 2 2R 17m

12 Analytical calculation F=1 (+) (-) (+) E x =0 m F =+1m F =0m F =-1 x Y z

13 Analytical calculation F=1 (+) (-) (+) E x =0 m F =+1m F =0m F =-1 x Y z F=1 m F =+1m F =0m F =-1 E x 0

14 Analytical calculation

15

16 Conclusions - lattice for single site addressing in an optical lattice Interactions with single atoms by use of a magnetic field gradient N=1 filling factor in a 3D lattice Strong dependence on the polarization of the lattice beams


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