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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. Summary. Introduction. Eigenstates of inhomogeneous NLSE. Atomic soliton lasers.
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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
Summary • Introduction. • Eigenstates of inhomogeneous NLSE. • Atomic soliton lasers. • Continuous atomic lasers. • Applications. • Conclusions
Basic concepts: iYt+ xxY+(V+a|Y |2)Y=0 • The waveY 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?
If a, V are step functions Define 3 zones:IcV=0, a=0IIcV=V0 , a=0IIIcV=0, a<0 I II III I II III e-z cos(z) sech(z) e-z cos(z) sech(z) Small a|Y|2 Large a|Y|2
weak nonlinearitymedium nonlinearitystrong nonlinearity Effective potential P a
? What if N>>Ncr It’s a magic trick? Get something out of a box… without opening or breaking it! The wave opens the door… 1.0 sec Ncr=104atoms a=-2nm nz=0.2n^ L=10mm
Atom laser based on soliton emission M.I. Rodas-Verde, H. Michinel and V. M. Pérez-García, Phys. Rev. Lett.95, 153903 (2005). a
Continuous laser: 3-body interactions iYt+s2Y+(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!