Quantum fluctuations in a continuous vectorial Kerr medium model

Quantum fluctuations in quantum lattice-systems with continuous symmetry

We discuss conditions for the absence of spontaneous breakdown of continuous symmetries in quantum lattice systems at T = 0. Our analysis is based on Pitaevskii and Stringari’s idea that the uncertainty relation can be employed to show quantum fluctuations. For the one-dimensional systems, it is shown that the ground state is invariant under the continuous transformation if a certain uniform su...

Maxwell equations in a nonlinear Kerr medium

In this paper we present an exact calculation of the transfer function associated with the nonlinear Fabry-Perot resonator. While our exact result cannot be evaluated in terms of elementary functions, it does permit us to obtain a number of simple approximate expressions of various orders of accuracy. In addition, our derivation yields criteria of validity for the approximate formulae. Our appr...

Transverse-mode coupling in a Kerr medium.

We analyze non-linear transverse mode coupling in a Kerr medium placed in an optical cavity and its influence on bistability and different kinds of quantum noise reduction. Even for an input beam which is perfectly matched to a cavity mode, the non-linear coupling produces an excess noise in the fluctuations of the output beam. Intensity squeezing seems to be particularly robust with respect to...

Modulation instability for a relaxational Kerr medium

We investigated on the influence of a temporally dispersive Kerr effect on the modulation instability and the propagation of solitary wave pulse. The modulation instability gain is derived and compared with numerical calculations. The role of nonlinear response time on reshaping the solitary pulse is examined. 2008 Elsevier B.V. All rights reserved.

Quantum Optics in Vectorial Modes