Non-Hermitian Hamiltonian approach to the microwave transmission through one- dimensional qubit chain

Abstract

We investigate the propagation of microwave photons in a one-dimensional open 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. We considered in detail the resonances and photon mediated entanglement for two and three qubits in a chain. We showed that in non Markovian case the resonance widths, which define the decay rates of the entangled state, can be much smaller than the decay width of individual qubit. It is also shown that for identical qubits in the long wavelength limit a coherent superradiant state is formed with the width being equal to the sum of the widths of spontaneous transitions of \emph{N} individual qubits. The results obtained in the paper are of general nature and can be applied to any type of qubits. The specific properties of the qubit are only encoded in the two parameters: the qubit energy $\Omega$ and the rate of spontaneous emission $\Gamma$.

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Cited by in corpus (21)

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• Waveguide transport mediated by strong coupling with atoms
• Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
• Multiple Fano interferences due to waveguide-mediated phase-coupling between atoms
• Photon scattering by an atomic ensemble coupled to a one-dimensional nanophotonic waveguide
• Transparency in a periodic chain of quantum emitters strongly coupled to a waveguide
• Non-Hermitian Waveguide Cavity QED with Tunable Atomic Mirrors
• Waveguide bandgap N-qubit array with a tunable transparency resonance
• Environment-Protected Solid State Based Distributed Charge Qubit
• Single photon superradiant decay of cyclotron resonance in a p-type single-crystal semiconductor film with a cubic structure
• Single-photon scattering on a qubit. Space-time structure of the scattered field
• Mollow triplet: pump probe single photon spectroscopy of artificial atoms
• Influence of qubits' nonradiative decay into a common bath on the transport properties of microwave photons
• Superradiance in finite quantum systems randomly coupled to continuum
• Controlling single-photon scattering in a rectangular waveguide by a V-type three-level emitter
• Influence of Impurity on the Rate of Single Photon Superradiance in Disordered N Qubit Chain
• Quantum phase measurement for two-qubit states in an open waveguide
• Single-photon scattering on a two-qubit system. Spatio-temporal structure of the scattered field
• Excitation of the collective states in a three-qubit system
• Decay of transmon qubit in a broadband one-dimensional cavity
• Spontaneous emission of a three-level artificial atom in a one-dimensional open waveguide