Dressed emitters as impurities

Abstract

Dressed states forming when quantum emitters or atoms couple to a photonic bath underpin a number of phenomena and applications, in particular dispersive effective interactions occurring within photonic bandgaps. Here, we present a compact formulation of the resolvent-based theory for calculating atom-photon dressed states built on the idea that the atom behaves as an effective impurity. This establishes an explicit connection with the standard impurity problem in condensed matter. Moreover, it allows us to formulate and settle in a model-independent context a number of properties previously known only for specific models or not entirely formalized. The framework is next extended to the case of more than one emitter, which is used to derive a general expression of dissipationless effective Hamiltonians explicitly featuring the overlap of single-emitter dressed bound states.

11 pages, 3 figures

References in corpus (9)

• Microwave photonics with superconducting quantum circuits
• Subwavelength vacuum lattices and atom-atom interactions in photonic crystals
• Strongly-correlated multi-particle transport in one-dimension through a quantum impurity: an outline of exact and complete solutions
• Dynamics of spontaneous emission in a single-end photonic waveguide
• Bound states in the continuum in a single-level Fano-Anderson model
• Extensible quantum simulation architecture based on atom-photon bound states in an array of high-impedance resonators
• Photonic simulation of giant atom decay
• Qubit-photon bound states in topological waveguides with long-range hoppings
• Waveguide-QED-based measurement of a reservoir spectral density