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Europhysics Letters (EPL)

Optical analogue of the polaron: Dressed photon in a nonlinear Fabry-Pérot cavity

Ze Cheng

Published Jan 1, 2013• 5 citations
Publisher

Abstract

The photon polaron in a two-dimensional optical micro-cavity is investigated within the framework of quantum statistical mechanics. Our experimental set-up is based on a planar Fabry-Pérot cavity filled with a nonlinear non-polar crystal. The Fabry-Pérot cavity provides a chemical potential and an effective mass for a photon, making the system formally equivalent to a two-dimensional gas of number-conserving, massive bosons. A photon polaron is a photon dressed with a cloud of virtual transverse optical phonons, namely, the dressed photon. One of the most important properties of the photon polaron is an increased inert mass. Because of the effect of photon polarons, we find that the photon-photon interaction is enhanced greatly. The photon polaron is a quantum effect of cavity nonlinear optics but its increased inert mass is a classical property.

DOI
10.1209/0295-5075/101/14003

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The photon polaron in a two-dimensional optical micro-cavity is investigated within the framework of quantum statistical mechanics. Our experimental set-up is based on a planar Fabry-Pérot cavity filled with a nonlinear non-polar crystal. The Fabry-Pérot cavity provides a chemical potential and an effective mass for a photon, making the system formally equivalent to a two-dimensional gas of number-conserving, massive bosons. A photon polaron is a photon dressed with a cloud of virtual transverse optical phonons, namely, the dressed photon. One of the most important properties of the photon polaron is an increased inert mass. Because of the effect of photon polarons, we find that the photon-photon interaction is enhanced greatly. The photon polaron is a quantum effect of cavity nonlinear optics but its increased inert mass is a classical property.
The photo-polaron in a two-dimensional optical microcavity is investigated within the framework of quantum statistical mechanics. Our experimental setup is based on a planar Fabry-P\'erot cavity filled with a nonlinear nonpolar crystal. The Fabry-P\'erot cavity provides a chemical potential and an effective mass for a photon, making the system formally equivalent to a two-dimensional gas of number-conserving, massive bosons. The incident photons interact with the Raman phonons in the crystal and hence are converted into quasiparticles, which we refer to as photo-polarons. A photo-polaron is a photon dressed with a cloud of virtual transverse-optical phonons, namely, the dressed photon. One of the most important properties of photo-polaron is an increased inert mass. Because of the effect of photo-polarons, we find that the photon-photon interaction is enhanced greatly. The photo-polaron is a quantum effect of cavity nonlinear optics but its increased inert mass is a classical property.
Bose–Einstein condensation (BEC) of dressed photons in a Kerr nonlinear optical microcavity is investigated. Our experimental scheme is based on an optical microcavity filled with a Kerr nonlinear nonpolar crystal. The pump photons interact with the Raman phonons in the crystal and hence are converted into new quasiparticles, which we refer to as dressed photons. A dressed photon is a photon dressed with a cloud of virtual transverse-optical phonons. The first main finding is that two-dimensional (2D) dressed photons have an increased inert mass. The second main finding is that the lower cutoff frequency of a nonlinear optical microcavity becomes larger. The third main finding is that the incident laser intensity is a moderate laser intensity ([Formula: see text]10[Formula: see text] W/cm2). The fourth main finding is that the critical optical power of a nonlinear optical microcavity is increased. The fifth main finding is that the radiation emitted by 2D dressed photons has an ultrahigh intensity.
We describe a recently developed effective theory for atom-mediated photon–photon interactions in a two-dimensional 'photon fluid' confined to a Fabry–Perot resonator. The photons in the lowest longitudinal cavity mode will appear as massive bosons interacting via a renormalized delta-function potential with a strength determined by physical parameters such as the density of atoms and the detuning of the photons relative to the resonance frequency of the atoms. We discuss novel quantum phenomena for photons, such as Bose–Einstein condensation and bound state formation, as well as possible experimental scenarios based on Rydberg atoms in a microwave cavity, or alkali atoms in an optical cavity.
We have investigated nonlinear atom optical effects which arise from atom-atom collisional interactions in a single-mode atomic Fabry-Perot 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 mean-field treatment in which quantum fluctuations are included linearizing the stochastic equations of the Positive-P representation. On the other hand, when the damping of the cavity mode is very weak and its wave-function 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 well-known 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 two-level 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.
We describe a semiclassical theoretical model on two-photon optical bistability in a nonlinear Fabry-Perot cavity filled with molecules having large permanent dipole moments under the plane wave and mean field approximations. The mathematical analysis follows with the assumption of a two-level system with large permanent dipoles. In the steady state situation, field equation is shown to provide the bistable behavior of the nonlinear cavity when resonant with two-photon excitation under certain conditions. It is shown that for a large difference in permanent dipole moment\mu_{0} = (\mu_{aa}-\mu_{bb})/2between levels|a\rangleand|b\rangle, (\mu_{0}^{2}/|\mu_{ba}|^{2}\gg1, where μbais the transition dipole moment), the two-photon optical bistability can result in a submicron size Fabry-Perot cavity.