Scattering of Two Photons from Two Distant Qubits: Exact Solution

Abstract

We consider the inelastic scattering of two photons from two qubits separated by an arbitrary distance R and coupled to a one-dimensional transmission line. We present an exact, analytical solution to the problem, and use it to explore a particular configuration of qubits that is transparent to single-photon scattering, thus highlighting non-Markovian effects of inelastic two-photon scattering: strong two-photon interference and momentum dependent photon (anti)bunching. This latter effect can be seen as an inelastic generalization of the Hong-Ou-Mandel effect.

Markovian and non-Markovian dynamics of quantum emitters coupled to two-dimensional structured reservoirs

“…In order to emphasize the new features obtained from the two-dimensional scenario compared to other type of reservoirs [46][47][48][49][50][51][52][53][54][69][70][71][72][73] we revisit the one-dimensional model with nearest neighbour coupling used to describe waveguide QED setups. This model assumes hopping at a rate J between N bosonic modes distributed along a line.…”

Quantum scattering theory of a single-photon Fock state in three-dimensional spaces

“…(1) without any approximation. The theoretical framework is built upon methods developed for electrons scattered by magnetic impurities in condensed matter physics [2,3] as well as recent progress in one-dimensional waveguide quantum electrodynamics [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19]. Although we illustrate the theory based on single photons, the framework is fundamentally compatible with and can be extended to multi-photons.…”

Reprint of : Photon correlations generated by inelastic scattering in a one-dimensional waveguide coupled to three-level systems

“…In most of these, the Markovian approximation is required in order to simplify the interactions between the qubits via the waveguide [42][43][44][45][46][47][48]. There are, however, a few nonMarkovian results [49][50][51][52][53][54][55] which have been used to delineate the range of validity of the Markov approximation.…”