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arXiv · 1810.08439

Two-Photon Scattering in USC regime

Vanessa Paulisch·Tao Shi·Juan Jose Garcia-Ripoll
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Abstract

In this work we study the scattering of pairs of photons by a two-level system ultrastrongly coupled to a one-dimensional waveguide. We describe this problem using a spin-boson model with an Ohmic environment $J(\omega)=\pi\alpha\omega^1.$ We show that when coupling strength lays is about $\alpha\leq 1,$ 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.

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Vanessa Paulisch, Tao Shi, Juan Jose Garcia-Ripoll. 2018-10-19. Two-Photon Scattering in USC regime. https://arxiv.org/abs/1810.08439

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