Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters
Subwavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed photon losses and emerging optical nonlinearities due to strong pho...
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-12-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.043264 |
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| _version_ | 1850061227539038208 |
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| author | Simon Panyella Pedersen Georg M. Bruun Thomas Pohl |
| author_facet | Simon Panyella Pedersen Georg M. Bruun Thomas Pohl |
| author_sort | Simon Panyella Pedersen |
| collection | DOAJ |
| description | Subwavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed photon losses and emerging optical nonlinearities due to strong photon coupling to mesoscopic numbers of emitters holds promise for generating nonclassical light and engineering effective interactions between freely propagating photons. While most studies have thus far relied on numerical simulations, we describe here a diagrammatic Green's function approach that permits analytical investigations of nonlinear processes. We illustrate the method by deriving a simple expression for the scattering matrix that describes photon-photon interactions in an extended two-dimensional array of quantum emitters and reproduces the results of numerical simulations of coherently driven arrays. The approach yields intuitive insights into the nonlinear response of the system and offers a promising framework for the systematic development of a theory for interacting photons and many-body effects on collective radiance in two-dimensional arrays of quantum emitters. |
| format | Article |
| id | doaj-art-3546f4f9669a48bb9e8d28be2d86f7ba |
| institution | DOAJ |
| issn | 2643-1564 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj-art-3546f4f9669a48bb9e8d28be2d86f7ba2025-08-20T02:50:19ZengAmerican Physical SocietyPhysical Review Research2643-15642024-12-016404326410.1103/PhysRevResearch.6.043264Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emittersSimon Panyella PedersenGeorg M. BruunThomas PohlSubwavelength arrays of quantum emitters offer an efficient free-space approach to coherent light-matter interfacing, using ultracold atoms or two-dimensional solid-state quantum materials. The combination of collectively suppressed photon losses and emerging optical nonlinearities due to strong photon coupling to mesoscopic numbers of emitters holds promise for generating nonclassical light and engineering effective interactions between freely propagating photons. While most studies have thus far relied on numerical simulations, we describe here a diagrammatic Green's function approach that permits analytical investigations of nonlinear processes. We illustrate the method by deriving a simple expression for the scattering matrix that describes photon-photon interactions in an extended two-dimensional array of quantum emitters and reproduces the results of numerical simulations of coherently driven arrays. The approach yields intuitive insights into the nonlinear response of the system and offers a promising framework for the systematic development of a theory for interacting photons and many-body effects on collective radiance in two-dimensional arrays of quantum emitters.http://doi.org/10.1103/PhysRevResearch.6.043264 |
| spellingShingle | Simon Panyella Pedersen Georg M. Bruun Thomas Pohl Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters Physical Review Research |
| title | Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| title_full | Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| title_fullStr | Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| title_full_unstemmed | Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| title_short | Green's function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| title_sort | green s function approach to interacting lattice polaritons and optical nonlinearities in subwavelength arrays of quantum emitters |
| url | http://doi.org/10.1103/PhysRevResearch.6.043264 |
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