### Abstract

When atoms are optically coupled to a one dimensional waveguide, they can interact through macroscopic distances. The retardation effects inherent to field propagation and the associated delay in information backflow between the atoms result in a departure from the familiar Markovian dynamics. We study the case of two two level atoms coupled along a waveguide. One remarkable feature of the dynamics in this regime is the formation of long-lived bound states in the continuum (BIC),^{30} that refer to a hybrid diatomic molecule bound together by propagating modes of a field. In particular, we study the probability of reaching such a bound states of the system starting in an initially anti-symmetric state of the emitters.

Original language | English (US) |
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Title of host publication | Quantum Nanophotonic Materials, Devices, and Systems 2019 |

Editors | Cesare Soci, Matthew T. Sheldon, Mario Agio |

Publisher | SPIE |

ISBN (Electronic) | 9781510628755 |

DOIs | |

State | Published - Jan 1 2019 |

Event | Quantum Nanophotonic Materials, Devices, and Systems 2019 - San Diego, United States Duration: Aug 14 2019 → Aug 15 2019 |

### Publication series

Name | Proceedings of SPIE - The International Society for Optical Engineering |
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Volume | 11091 |

ISSN (Print) | 0277-786X |

ISSN (Electronic) | 1996-756X |

### Conference

Conference | Quantum Nanophotonic Materials, Devices, and Systems 2019 |
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Country | United States |

City | San Diego |

Period | 8/14/19 → 8/15/19 |

### Fingerprint

### Keywords

- Dicke superradiance
- Non-Markovian dynamics
- Time-delayed feedback
- Waveguide Quantum Electrodynamics (QED)

### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics
- Computer Science Applications
- Applied Mathematics
- Electrical and Electronic Engineering

### Cite this

*Quantum Nanophotonic Materials, Devices, and Systems 2019*[110910O] (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11091). SPIE. https://doi.org/10.1117/12.2530927

**Non-Markovian dynamics of collective atomic states coupled to a waveguide.** / Sinha, Kanu; Meystre, Pierre; Solano, Pablo.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Quantum Nanophotonic Materials, Devices, and Systems 2019.*, 110910O, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11091, SPIE, Quantum Nanophotonic Materials, Devices, and Systems 2019, San Diego, United States, 8/14/19. https://doi.org/10.1117/12.2530927

}

TY - GEN

T1 - Non-Markovian dynamics of collective atomic states coupled to a waveguide

AU - Sinha, Kanu

AU - Meystre, Pierre

AU - Solano, Pablo

PY - 2019/1/1

Y1 - 2019/1/1

N2 - When atoms are optically coupled to a one dimensional waveguide, they can interact through macroscopic distances. The retardation effects inherent to field propagation and the associated delay in information backflow between the atoms result in a departure from the familiar Markovian dynamics. We study the case of two two level atoms coupled along a waveguide. One remarkable feature of the dynamics in this regime is the formation of long-lived bound states in the continuum (BIC),30 that refer to a hybrid diatomic molecule bound together by propagating modes of a field. In particular, we study the probability of reaching such a bound states of the system starting in an initially anti-symmetric state of the emitters.

AB - When atoms are optically coupled to a one dimensional waveguide, they can interact through macroscopic distances. The retardation effects inherent to field propagation and the associated delay in information backflow between the atoms result in a departure from the familiar Markovian dynamics. We study the case of two two level atoms coupled along a waveguide. One remarkable feature of the dynamics in this regime is the formation of long-lived bound states in the continuum (BIC),30 that refer to a hybrid diatomic molecule bound together by propagating modes of a field. In particular, we study the probability of reaching such a bound states of the system starting in an initially anti-symmetric state of the emitters.

KW - Dicke superradiance

KW - Non-Markovian dynamics

KW - Time-delayed feedback

KW - Waveguide Quantum Electrodynamics (QED)

UR - http://www.scopus.com/inward/record.url?scp=85072920041&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85072920041&partnerID=8YFLogxK

U2 - 10.1117/12.2530927

DO - 10.1117/12.2530927

M3 - Conference contribution

AN - SCOPUS:85072920041

T3 - Proceedings of SPIE - The International Society for Optical Engineering

BT - Quantum Nanophotonic Materials, Devices, and Systems 2019

A2 - Soci, Cesare

A2 - Sheldon, Matthew T.

A2 - Agio, Mario

PB - SPIE

ER -