2020/03/16 by Eduardo Sánchez-Burillo, E. Sánchez-Burillo, Diego Porras +3
Computer Science · Physics and Astronomy · #Curse of dimensionality #Dispersion (optics) #Dissipation #Photon #Photonics #Physics #Quantum #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Random lasers and scattering media #Range (aeronautics) #Scaling #Statistical physics #Strong Light-Matter Interactions #quant-ph
paper · pdf · doi:10.1103/physreva.102.013709
published as Phys. Rev. A 102, 013709 (2020) · 13 pages, 7 figures
arxiv created 2020/03/16 · openalex publication_date 2020/07/08 · arxiv updated 2020/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The exchange of off-resonant propagating photons between distant quantum emitters induces coherent interactions among them. The range of such interactions, and whether they are accompanied by dissipation, depends on the photonic energy dispersion, its dimensionality, and/or the light-matter couplings. We characterize the limits of photon-mediated interactions for the case of generic one-dimensional photonic baths under the typical assumptions, i.e., finite range hoppings for the photonic bath plus local and rotating-wave light-matter couplings. In that case, we show how, irrespective of the system's parameter, the coherent photon-mediated interactions can always be written as a finite sum of exponentials and thus cannot display a power-law asymptotic scaling. As an outlook, we show how by relaxing some of these conditions, e.g., going beyond local light-matter couplings (e.g., giant atoms) or with longer-range photon hopping models, power-law interactions can be obtained within certain distance windows or even in the asymptotic regime for the latter case.