We study Hamiltonian dynamics of a single two-level atom interacting with two modes in a single cavity, which can also include an optical Kerr nonlinearity. Our model is quite general and is solved analytically and studied numerically, and the model reduces to several well known systems by setting certain parameters in the Hamiltonian to zero. We calculate and discuss entanglement between the t...

We report a theoretical study showing that rogue waves can emerge in whispering-gallery-mode resonators as the result of the chaotic interplay between Kerr nonlinearity and anomalous group-velocity dispersion. The nonlinear dynamics of the propagation of light in a whispering-gallery-mode resonator is investigated using the Lugiato-Lefever equation, and we give evidence of a range of parameters...

We show analytically, numerically, and experimentally that a transversely stable one-dimensional [(1+1)D] bright Kerr soliton can exist in a 3D bulk medium. The transverse instability of the soliton is completely eliminated if it is made sufficiently incoherent along the transverse dimension. We derive a criterion for the threshold of transverse instability that links the nonlinearity to the la...

We theoretically investigate the possibility of realizing a nonlinear all-optical diode by using the unique features of quasiperiodic 1D photonic crystals. The interplay between the intrinsic spatial asymmetry in odd-order Thue-Morse lattices and Kerr nonlinearity, combined with the unconventional field localization properties of this class of quasiperiodic sequences, gives rise to sharp resona...

We present a bistable photonic crystal configuration consisting of a waveguide sided coupled to a single-mode cavity with instantaneous Kerr nonlinearity. We show that such a configuration can generate extremely high contrast between the bistable states in its transmission with low input power. We also provide an analytic theory that can completely account for the entire transient switching dyn...

The joint influence of the polariton effect and Kerr-like nonlinearity on propagation of optical pulses is studied. The existence of different families of envelope solitary wave solutions in the vicinity of polariton gap is shown. The properties of solutions depend strongly on the carrier wave frequency. In particular, solitary waves inside and outside of the polariton gap exhibit different vel...

We report a self-starting passively mode-locked soliton source generating 1-ps-wide pulses. The laser is configured as a ring with an erbium-doped fiber gain medium, a length of conventional fiber that provides the required dispersion and Kerr nonlinearity, and an intracavity multiple-quantum-well optical amplifier that serves as a saturable absorber and pulse stabilizer. The laser exhibits low...

We study the formation of dark-bright vector soliton pairs in nonlocal Kerr-type nonlinear medium. We show, by analytical analysis and direct numerical calculation, that in addition to stabilize of vector soliton pairs nonlocal nonlinearity also helps to reduce the threshold power for forming a guided bright soliton. With help of the nonlocality, it is expected that the observation of dark-brig...

Noise-induced switching caused by fluctuating atomic coherence is experimentally demonstrated in an atomic optical bistable system consisting of three-level atoms in -type configurations confined in an optical ring cavity. The nonlinear phase as a result of enhanced Kerr nonlinearity induced by atomic coherence in the electromagnetically induced transparency system is fluctuating due to the noi...

We present a diagrammatic theory for coherent backscattering from disordered dilute media in the nonlinear regime. We show that the coherent backscattering enhancement factor is strongly affected by the nonlinearity, and we corroborate these results by numerical simulations. Our theory can be applied to several physical scenarios such as scattering of light in a nonlinear Kerr medium or propaga...