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Prethermalization in a quenched one-dimensional quantum fluid of light

Intrinsic limits to the coherent propagation of a light beam in a nonlinear optical fiber

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Abstract

We study the coherence properties of a laser beam after propagation along a one-dimensional lossless nonlinear optical waveguide. Within the paraxial, slowly-varying-envelope, and single-transverse-mode approximations, the quantum propagation of the light field in the nonlinear medium is mapped onto a quantum Gross-Pitaevskii-type evolution of a closed one-dimensional system of many interacting photons. Upon crossing the entrance and the back faces of the waveguide, the photon-photon interaction parameter undergoes two sudden jumps, resulting in a pair of quantum quenches of the system’s Hamiltonian. In the weak-interaction regime, we use the modulus-phase Bogoliubov theory of dilute Bose gases to describe the quantum fluctuations of the fluid of light and predict that correlations typical of a prethermalized state emerge locally in their final form and propagate in a light-cone way at the Bogoliubov speed of sound in the photon fluid. This peculiar relaxation dynamics, visible in the light exiting the waveguide, results in a loss of long-lived coherence in the beam of light.

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  1. INO-CNR BEC Center and Dipartimento di Fisica, Università di Trento, Via Sommarive 14, 38123, Povo, Italy

    Pierre-Élie Larré & Iacopo Carusotto

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  1. Pierre-Élie Larré
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Larré, PÉ., Carusotto, I. Prethermalization in a quenched one-dimensional quantum fluid of light. Eur. Phys. J. D 70, 45 (2016). https://doi.org/10.1140/epjd/e2016-60590-2

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