Abstract
Waveguide QED offers the possibility of generating strong coherent atomic interactions either through appropriate atomic configurations in the dissipative regime or in the bandgap regime. In this work, we show how to harness these interactions in order to herald the generation of highly entangled atomic states, which afterwards can be mapped to generate single mode multi-photonic states with high fidelities. We introduce two protocols for the preparation of the atomic states, we discuss their performance and compare them to previous proposals. In particular, we show that one of them reaches high probability of success for systems with many atoms but low Purcell factors.
Highlights
Non-classical states of few photons can be generated in a variety of physical systems
One possibility is to use atom-like metastable states of atom-like systems as quantum memories that can afterwards be triggered to generate photonic states with controllable temporal shape [32, 33] and with a very favorable scaling of the infidelity Iphot μ m2 (NP1d), with N being the number of quantum emitters and P1d the Purcell factor of the system which characterizes how much emission goes into the waveguide with respect to free space emission
The generation of arbitrary photonic states reduces to the preparation of arbitrary symmetric excitations in an ensemble of quantum emitters, which is the main focus of this work
Summary
Non-classical states of few photons can be generated in a variety of physical systems. Triggered single photonsources [1] can be found in solid state systems [2,3,4], in neutral atoms or ions coupled to optical cavities [5,6,7,8,9,10] and in collective atomic ensembles [11,12,13,14,15,16,17,18]. The second protocol (‘dipole–dipole’) is designed for emitters, whose resonance frequency is in the bandgap, see figure 1(b), and which is, e.g., well suited for engineered dielectrics In this regime, dipole–dipole interactions mediated by an atom–photon bound state formed in the bandgap emerge [36,37,38,39,40].
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