Statistical properties of brillouin scattering

A. Pieczonková

A. Pieczonková

Jaromı́r Fiurášek, Jan Peřina

Quantum statistical properties of light in nonlinear coupler in which Raman or Brillouin scattering are in operation are investigated. Main attention is given to possibility of generation of nonclassical states of light. Phase mismatches and losses are included and their influence is discussed. The second part of the paper is devoted to analysis of stationary point. Coherent pumping of optical modes is assumed and stationary solution for c-number amplitudes is found and small linear operator corrections are calculated. Stability of the stationary point is discussed and it is shown that phase uncertainty induces instability.

Mateo Restrepo, Ángela M. Guzmán, William T. Rhodes +1 more

We analyze the quantum statistical properties of light scattered by an acousto-optic modulator. From the perspective of quantum mechanics, the acousto-optic effect arises from a nonlinear interaction between three bosonic fields: the laser light, the Brillouin-scattered light, and an acoustic wave. The Hamiltonian coincides with that of sum-frequency generation, where the sum-frequency mode is known to exhibit sub-Poissonian statistics. We calculate the free temporal evolution of the Fano factor for Brillouin backscattered light and determine that sub-Poissonian statistics are obtained when faint laser light is scattered by a counter-propagating coherent acoustic wave with low average phonon number. The use of sub-Poissonian light would lead to an increase of the security for quantum key distribution.

A. Pieczonková

The quantum statistical properties of Brillouin scattering of intense laser light are derived including the coupling of Stokes, anti-Stokes and phonon modes, if the anti-Stokes interaction prevails. Making use of the coherent-state technique, the Heisenberg equations of this process are solved neglecting the loss mechanism, and the normal quantum characteristic function and the normal generating function are derived. The time dependences of the photon distribution and its factorial moments are demonstrated if the phonon, Stokes and anti-Stokes modes are initially in a coherent state and periodical anti-bunching of the field is found when the phases of the incident fields fulfil certain phase conditions; the field can also return to the coherent state again.

Xingguo Pan