{ "id": "1504.00752", "version": "v1", "published": "2015-04-03T06:12:50.000Z", "updated": "2015-04-03T06:12:50.000Z", "title": "Non-Hermitian Hamiltonian approach to the microwave transmission through one- dimensional qubit chain", "authors": [ "Ya. S. Greenberg", "A. A. Shtygashev" ], "comment": "10 pages, 6 figures", "categories": [ "cond-mat.mes-hall", "quant-ph" ], "abstract": "We investigate the propagation of microwave photons in a one-dimensional waveguide interacting with a number of artificial atoms (qubits). Within the formalism of projection operators and non-Hermitian Hamiltonian approach we develop a one-photon approximation scheme for the calculation of the transmission and reflection factors of the microwave signal in a waveguide which contains an arbitrary number \\emph{N} of non-interacting qubits. It is shown that for identical qubits in the long-wave limit a coherent superradiance state is formed with the width being equal to the sum of the widths of spontaneous transitions of \\emph{N} individual qubits.", "revisions": [ { "version": "v1", "updated": "2015-04-03T06:12:50.000Z" } ], "analyses": { "keywords": [ "non-hermitian hamiltonian approach", "dimensional qubit chain", "microwave transmission", "coherent superradiance state", "one-photon approximation scheme" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable" } } }