Atom Lasers and interferometers
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Transcript of Atom Lasers and interferometers
H. Michinel, A. V. Carpentier, M. Martínez and S. Santos
Universidade de Vigo. Ourense campus.
Correlations in quatum gases . Maó, 30 sep. 2010
Atom Lasers and interferometers
Summary
1. Introduction.
2. Eigenstates of inhomogeneous NLSE.
3. Atomic soliton lasers.
4. Continuous atomic lasers.
5. Applications.
6. Conclusions
Atomic solitons (1998, 2002)
Basic concepts:
• The wave Y generates its own trap (a|Y|2).
• There is a continuum of fundamental eigenstates (only one in the linear case).
• What happens if a depends on x?
iYt+ xxY+(V+a|Y |2)Y=0
If a, V are step functions
Define 3 zones: I c V=0, a=0 II c V=V0 , a=0 III c V=0, a<0
e-z cos(z) sech(z) e-z cos(z) sech(z)
I II III I II III
Small a|Y|2 Large a|Y|2
Effective potential P
a
weak nonlinearity
medium nonlinearity
strong nonlinearity
It’s a magic trick? Get something out of a box… without opening or breaking it!
The wave opens the door…
Ncr=104atoms
a=-2nm
nz=0.2n^?
What if N>>Ncr
1.0
sec
L=10mm
Atom laser based on soliton emission
a
M.I. Rodas-Verde, H. Michinel and V. M. Pérez-García,Phys. Rev. Lett. 95, 153903 (2005).
Symmetric case: atomic soliton interferometer
More realistic: twisting the scattering length
Continuous laser: 3-body interactions
iYt+s 2Y+(V+a|Y |2-b|Y |4)Y=iGY
Conclusions
• 1+1D NLSE with inhomogeneous nonlinearity display interesting phenomena.
• In the frame of current experiements, pulsed atomic soliton lasers can be obtained.
• Need for optical control of Feschbach resonances to produce atomic soliton pair emitters.
• 3-body elastic interactions open the door to continuous atom lasers.
Thank you for you attention!