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Diagrammatic approach to multiphoton scattering

See Tianfeng, Noh Changsuk, Aggelakis Dimitrios

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URI: http://purl.tuc.gr/dl/dias/90FF9763-86B2-485F-8687-47CE07A334F1
Έτος 2017
Τύπος Δημοσίευση σε Περιοδικό με Κριτές
Άδεια Χρήσης
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Βιβλιογραφική Αναφορά T.F. See, C. Noh, and D. G. Angelakis, "Diagrammatic approach to multiphoton scattering," Phys. Rev. A, vol. 95, no. 5, May 2017. doi: 10.1103/PhysRevA.95.053845 https://doi.org/10.1103/PhysRevA.95.053845
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Περίληψη

We present a method to systematically study multiphoton transmission in one-dimensional systems comprised of correlated quantum emitters coupled to input and output waveguides. Within the Green's function approach of the scattering matrix (S matrix), we develop a diagrammatic technique to analytically obtain the system's scattering amplitudes while at the same time visualize all the possible absorption and emission processes. Our method helps to reduce the significant effort in finding the general response of a many-body bosonic system, particularly the nonlinear response embedded in the Green's functions. We demonstrate our proposal through physically relevant examples involving scattering of multiphoton states from two-level emitters as well as from arrays of correlated Kerr nonlinear resonators in the Bose-Hubbard model.

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