Dynamical theory of single-photon transport through a qubit chain
coupled to a one-dimensional nanophotonic waveguide
- URL: http://arxiv.org/abs/2307.14752v2
- Date: Wed, 7 Feb 2024 04:07:57 GMT
- Title: Dynamical theory of single-photon transport through a qubit chain
coupled to a one-dimensional nanophotonic waveguide
- Authors: Ya. S. Greenberg, O. A. Chuikin, A. A. Shtygashev, A. G. Moiseev
- Abstract summary: We study the dynamics of a single-photon pulse travelling through a linear qubit chain coupled to continuum modes in a 1D photonic waveguide.
We derive a time-dependent dynamical theory for qubit amplitudes and for transmitted and reflected spectra.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the dynamics of a single-photon pulse travelling through a linear
qubit chain coupled to continuum modes in a one-dimensional (1D) photonic
waveguide. We derive a time-dependent dynamical theory for qubit amplitudes and
for transmitted and reflected spectra. We show that the requirement for the
photon-qubit coupling to exist only for positive frequencies can significantly
change the dynamics of the system. First, it leads to an additional
photon-mediated dipole-dipole interaction between qubits which results in the
violation of the phase coherence between them. Second, the spectral lines of
transmitted and reflected spectra crucially depend on the shape of the incident
pulse and the initial distance between the pulse center and the first qubit in
the chain. We apply our theory to one-qubit and two-qubit systems. For these
two cases, we obtain the explicit expressions for the qubits' amplitudes and
the photon radiation spectra as time tends to infinity. For the incident
Gaussian wave packet we calculate the line shapes of transmitted and reflected
photons.
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