One-dimensional waveguide coupled to multiple qubits: photon-photon correlations
Department of Physics, Duke University, P.O. Box 90305, Durham, NC, 27708, USA
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Accepted: 5 December 2013
Published online: 29 January 2014
For a one-dimensional (1D) waveguide coupled to two or three qubits, we show that the photon-photon correlations have a wide variety of behavior, with structure that depends sensitively on the frequency and on the qubit-qubit separation L. We study the correlations by calculating the second-order correlation function g2(t) in which the interference among the photons multiply scattered from the qubits causes rich structure. In one case, for example, transmitted and reflected photons are both bunched initially, but then become strongly anti-bunched for a long time interval. We first calculate the correlation function g2(t) including non-Markovian effects and then show that a much simpler Markovian treatment, which can be solved analytically, is accurate for small qubit separation. As a result, the non-classical properties of microwaves in a 1D waveguide coupled to many superconducting qubits with experimentally accessible separation L could be readily explored with our approach.
Key words: quantum electrodynamics / quantum photonics / circuit QED / non-classical light
© The Author(s), 2014