Abstract

A superconducting quantum circuit coupled to a tailored waveguide reservoir provides a platform for exploring non-Markovian quantum-optical dynamics, in which the reservoir maintains a memory of past events.

Highlights

  • Spontaneous emission by a quantum emitter into the fluctuating electromagnetic vacuum, and the corresponding exponential decay of the emitter excited state, is an emblematic example of Markovian dynamics of an open quantum system [1]

  • This structure of the photonic band-gap reservoir leads to a strong dressing of the emitter and a resulting emission dynamics modified by the interplay between bound and radiative emitter-photon resonant states [11,12,13,14,15]

  • Theoretical studies show that such non-Markovian timedelayed feedback in a 1D waveguide reservoir can lead to revivals in the excited-state population of an emitter as it undergoes spontaneous emission decay [27,30,31,32,33,34,35], realization of stable bound states in a continuum [36,37], and enhanced collective effects including multipartite entanglement and superradiant emission from emitters interacting via a common waveguide channel [18,38,39,40,41,42]

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Summary

INTRODUCTION

Spontaneous emission by a quantum emitter into the fluctuating electromagnetic vacuum, and the corresponding exponential decay of the emitter excited state, is an emblematic example of Markovian dynamics of an open quantum system [1]. Theoretical studies show that such non-Markovian timedelayed feedback in a 1D waveguide reservoir can lead to revivals in the excited-state population of an emitter as it undergoes spontaneous emission decay [27,30,31,32,33,34,35], realization of stable bound states in a continuum [36,37], and enhanced collective effects including multipartite entanglement and superradiant emission from emitters interacting via a common waveguide channel [18,38,39,40,41,42] This deceptively simple mechanism of time-delayed feedback can be used for the generation of multidimensional photonic cluster states by a single emitter and has been proposed as a means for generating the universal resource states necessary for measurement-based quantum computation [23]. From this series of measurements, we estimate the achievable fidelity of entangling a number of photon pulses via qubit emission and subsequent time-delayed feedback and find that the demonstrated qubit-waveguide system is a promising platform for the sequential generation of multidimensional photonic cluster states as described in the theoretical proposals of Refs. [23,62,63,64]

SLOW-LIGHT METAMATERIAL WAVEGUIDE
NON-MARKOVIAN RADIATIVE DYNAMICS
TIME-DELAYED FEEDBACK
CONCLUSION
Device fabrication
Band structure analysis
Comparison to tight-binding model
Qubit coupled to passband of a waveguide
Group delay
Geometrical design of unit cell
Matching of the finite resonator array to input-output CPWs
Findings
Circuit model

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