Dynamics of Many-Body Photon Bound States in Chiral Waveguide QED

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Mahmoodian, S.; Calajó, G.; Chang, D.E.; Hammerer, K.; Sørensen, A.S.: Dynamics of Many-Body Photon Bound States in Chiral Waveguide QED. In: Physical Review X 10 (2020), Nr. 3, 031011. DOI: https://doi.org/10.1103/PhysRevX.10.031011

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We theoretically study the few- and many-body dynamics of photons in chiral waveguides. In particular, we examine pulse propagation through an ensemble of N two-level systems chirally coupled to a waveguide. We show that the system supports correlated multiphoton bound states, which have a well-defined photon number n and propagate through the system with a group delay scaling as 1/n2. This has the interesting consequence that, during propagation, an incident coherent-state pulse breaks up into different bound-state components that can become spatially separated at the output in a sufficiently long system. For sufficiently many photons and sufficiently short systems, we show that linear combinations of n-body bound states recover the well-known phenomenon of mean-field solitons in self-induced transparency. Our work thus covers the entire spectrum from few-photon quantum propagation, to genuine quantum many-body (atom and photon) phenomena, and ultimately the quantum-to-classical transition. Finally, we demonstrate that the bound states can undergo elastic scattering with additional photons. Together, our results demonstrate that photon bound states are truly distinct physical objects emerging from the most elementary light-matter interaction between photons and two-level emitters. Our work opens the door to studying quantum many-body physics and soliton physics with photons in chiral waveguide QED. © 2020 authors.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2020
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of United States United States 12 44.44%
2 image of flag of Germany Germany 5 18.52%
3 image of flag of China China 4 14.81%
4 image of flag of Taiwan Taiwan 1 3.70%
5 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 1 3.70%
6 image of flag of Ireland Ireland 1 3.70%
7 image of flag of France France 1 3.70%
8 image of flag of Denmark Denmark 1 3.70%
9 image of flag of Czech Republic Czech Republic 1 3.70%

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