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Título: | Trigonometric SU(N) Richardson-Gaudin models and dissipative multi-level atomic systems |
Autor: | Lerma H., Sergio CSIC ORCID; Rubio-García, Álvaro CSIC ORCID; Dukelsky, Jorge CSIC ORCID | Fecha de publicación: | 24-ago-2020 | Editor: | Institute of Physics Publishing | Citación: | Journal of Physics A: Mathematical and Theoretical 53: 395302 (2020) | Resumen: | We derive the exact solution of a system of N-level atoms in contact with a Markovian reservoir. The resulting Liouvillian expressed in a vectorized basis is mapped to an SU(N) trigonometric Richardson-Gaudin model whose exact solution is given by a set of non-linear coupled equations. For N = 2 (SU(2)) we recover the exact solution of (2019 Phys. Rev. Lett. 122 010401). We then study the SU(3) case for three-level atom systems and discuss the properties of the steady state and dissipative gaps for finite systems as well as for the thermodynamic limit. | Descripción: | 15 pags., 4 figs., 2 apps. | Versión del editor: | http://dx.doi.org/10.1088/1751-8121/abab54 | URI: | http://hdl.handle.net/10261/226445 | DOI: | 10.1088/1751-8121/abab54 | Identificadores: | doi: 10.1088/1751-8121/abab54 issn: 1751-8121 |
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Trigonometric SU(N).pdf | 736,91 kB | Adobe PDF | Visualizar/Abrir |
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