Optimal two-photon excitation of bound states in non-Markovian waveguide QED

Rahul Trivedi, Daniel Malz, Shuo Sun, Shanhui Fan, and Jelena Vučković
Phys. Rev. A 104, 013705 – Published 7 July 2021

Abstract

Bound states arise in waveguide QED systems with a strong frequency-dependence of the coupling between emitters and photonic modes. While exciting such bound-states with single-photon wave-packets is not possible, photon-photon interactions mediated by the emitters can be used to excite them with two-photon states. In this Letter, we use scattering theory to provide upper limits on this excitation probability for a general non-Markovian waveguide QED system and show that this limit can be reached by a two-photon wave packet with vanishing uncertainty in the total photon energy. Furthermore, we also analyze multi-emitter waveguide QED systems with multiple bound states and provide a systematic construction of two-photon wave packets that can excite a given superposition of these bound states. As specific examples, we study bound-state trapping in waveguide QED systems with single and multiple emitters and a time-delayed feedback.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 19 March 2021
  • Revised 25 May 2021
  • Accepted 7 June 2021

DOI:https://doi.org/10.1103/PhysRevA.104.013705

©2021 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalQuantum Information, Science & Technology

Authors & Affiliations

Rahul Trivedi* and Daniel Malz

  • Max-Planck-Institute for Quantum Optics, Hans-Kopfermann-Str. 1, 85748 Garching, Germany and Munich Center for Quantum Science and Technology (MCQST), Schellingstraße 4, 80799 München, Germany

Shuo Sun

  • JILA and Department of Physics, University of Colorado, Boulder, Colorado 80309, USA

Shanhui Fan and Jelena Vučković

  • E. L. Ginzton Laboratory, Stanford University, Stanford, California 94305, USA and Department of Electrical Engineering, Stanford, California 94305, USA

  • *rahul.trivedi@mpq.mpg.de

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 104, Iss. 1 — July 2021

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×