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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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          Author and article information

          Journal
          2015-10-19
          2016-01-11
          Article
          10.1140/epjd/e2016-60590-2
          1510.05558
          961c3eb0-4902-499a-988d-dc696295beee

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          History
          Custom metadata
          Eur. Phys. J. D 70, 45 (2016)
          19 pages, 3 figures
          cond-mat.quant-gas

          Quantum gases & Cold atoms
          Quantum gases & Cold atoms

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