Nonlinear atomic FabryPerot interferometer: From the meanfield theory to the atom blockade effect
Abstract
We have investigated nonlinear atom optical effects which arise from atomatom collisional interactions in a singlemode atomic FabryPerot cavity driven by a coherent cw atom laser beam. When the nonlinear interaction energy per single atom is small, the exact numerical solution of the master equation is well reproduced by a meanfield treatment in which quantum fluctuations are included linearizing the stochastic equations of the PositiveP representation. On the other hand, when the damping of the cavity mode is very weak and its wavefunction is tightly confined in space, a regime of strong nonlinearity can be achieved. For the specific case of an incident atom laser frequency at resonance with the empty cavity, the numerical calculations predict a sort of atom blockade effect, which is a sort of atom optical analog of the wellknown Coulomb blockade effect of electronic transport through microscopic structures: only one atom can occupy the cavity mode at a time and the statistical properties of the transmitted beam, being very similar to the resonance fluorescence from a single twolevel system, show definitely nonclassical behaviors such as antibunching. Only at very large incident intensities, more than one atom can be simultaneously forced inside the cavity mode: in this regime, the results of the numerical calculations can be successfully interpreted using a dressed cavity model. From the formal analogy between atomic matter waves and optical light waves in nonlinear media, it follows that the same results hold for photonic systems.
 Publication:

Physical Review A
 Pub Date:
 February 2001
 DOI:
 10.1103/PhysRevA.63.023610
 Bibcode:
 2001PhRvA..63b3610C
 Keywords:

 03.75.Dg;
 03.75.Fi;
 42.50.Dv;
 42.65.k;
 Atom and neutron interferometry;
 Nonclassical states of the electromagnetic field including entangled photon states;
 quantum state engineering and measurements;
 Nonlinear optics