Dynamical signatures of bound states in waveguide QED

E. Sánchez-Burillo, D. Zueco, L. Martín-Moreno, and J. J. García-Ripoll
Phys. Rev. A 96, 023831 – Published 14 August 2017

Abstract

We study the spontaneous decay of an impurity coupled to a linear array of bosonic cavities forming a single-band photonic waveguide. The average frequency of the emitted photon is different from the frequency for single-photon resonant scattering, which perfectly matches the bare frequency of the excited state of the impurity. We study how the energy of the excited state of the impurity influences the spatial profile of the emitted photon. The farther the energy is from the middle of the photonic band, the farther the wave packet is from the causal limit. In particular, if the energy lies in the middle of the band, the wave packet is localized around the causal limit. Besides, the occupation of the excited state of the impurity presents a rich dynamics: it shows an exponential decay up to intermediate times, this is followed by a power-law tail in the long-time regime, and it finally reaches an oscillatory stationary regime. Finally, we show that this phenomenology is robust under the presence of losses, both in the impurity and in the cavities.

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  • Received 15 March 2017

DOI:https://doi.org/10.1103/PhysRevA.96.023831

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

E. Sánchez-Burillo1,*, D. Zueco1,2, L. Martín-Moreno1, and J. J. García-Ripoll3

  • 1Instituto de Ciencia de Materiales de Aragón and Departamento de Física de la Materia Condensada, CSIC–Universidad de Zaragoza, E-50009 Zaragoza, Spain
  • 2Fundación ARAID, Paseo María Agustín 36, E-50004 Zaragoza, Spain
  • 3Instituto de Fisica Fundamental, IFF-CSIC, Calle Serrano 113b, E-28006 Madrid, Spain

  • *edusb@unizar.es

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Issue

Vol. 96, Iss. 2 — August 2017

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