Two-Photon Scattering in USC regime

ORAL

Abstract

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide [1]. We describe this problem using a spin-boson model with an Ohmic environment J(ω)=παω. We show that when coupling strength lays is about α≤1, the dynamics is well approximated by a polaron Hamiltonian, under the approximation of a conserved number of excitations. In this regime, we develop analytical predictions for the single- and two-photon scattering matrix computed with a Green's function method. These predictions are verified against time-evolved matrix-product-state simulations of propagating wavepackets interacting with a two-level system, showing the accuracy of the approximation. Our predictions for two-photon scattering can be verified using the scattering tomography techniques from Ref. [2]

[1] Two-Photon Scattering in USC regime, Vanessa Paulisch, Tao Shi, Juan José García-Ripoll, arXiv:1810.08439
[2] Multiphoton Scattering Tomography with Coherent States, Tomás Ramos, Juan José García-Ripoll, Phys. Rev. Lett. 119, 153601 (2017)

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Presenters

  • Juan Jose Garcia-Ripoll

    • Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas (CSIC)
    • Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas
    • Institute of Polymer Science and Technology, Madrid
    • Institute of Fundamental Physics, CSIC

Authors

  • Vanessa Paulisch

    • Max-Planck-Institute of Quantum Optics

  • Tao Shi

    • Institute of Theoretical Physics, Chinese Academy of Science
    • Institute of Theoretical Physics, Chinese Academy of Sciences

  • Juan Jose Garcia-Ripoll

    • Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas (CSIC)
    • Instituto de Física Fundamental, Consejo Superior de Investigaciones Científicas
    • Institute of Polymer Science and Technology, Madrid
    • Institute of Fundamental Physics, CSIC