Non-Markovian dynamics of a superconducting qubit in an open multimode resonator

Moein Malekakhlagh, Alexandru Petrescu, and Hakan E. Türeci
Phys. Rev. A 94, 063848 – Published 21 December 2016

Abstract

We study the dynamics of a transmon qubit that is capacitively coupled to an open multimode superconducting resonator. Our effective equations are derived by eliminating resonator degrees of freedom while encoding their effect in the Green's function of the electromagnetic background. We account for the dissipation of the resonator exactly by employing a spectral representation for the Green's function in terms of a set of non-Hermitian modes and show that it is possible to derive effective Heisenberg-Langevin equations without resorting to the rotating-wave, two-level, Born, or Markov approximations. A well-behaved time-domain perturbation theory is derived to systematically account for the nonlinearity of the transmon. We apply this method to the problem of spontaneous emission, capturing accurately the non-Markovian features of the qubit dynamics, valid for any qubit-resonator coupling strength.

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  • Received 1 September 2016

DOI:https://doi.org/10.1103/PhysRevA.94.063848

©2016 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & TechnologyNonlinear DynamicsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Moein Malekakhlagh, Alexandru Petrescu, and Hakan E. Türeci

  • Department of Electrical Engineering, Princeton University, Princeton, New Jersey 08544, USA

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Issue

Vol. 94, Iss. 6 — December 2016

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