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This paper discusses key advancements in atomic lasers and interferometers, focusing on correlations in quantum gases. We delve into the eigenstates of inhomogeneous Nonlinear Schrödinger Equation (NLSE) and the mechanisms behind atomic soliton lasers, continuous atomic lasers, and their practical applications. The phenomena of soliton emission and the role of three-body interactions in facilitating continuous atom lasers are analyzed. The importance of optical control and ongoing experimental efforts in creating atomic soliton pair emitters are also highlighted, demonstrating the potential of these technologies in quantum physics.
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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!