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http://hdl.handle.net/10397/61863
| Title: | Continuous-mode multiphoton filtering | Authors: | Song, HT Zhang, GF Xi, ZR |
Issue Date: | 2016 | Source: | SIAM journal on control and optimization, 2016, v. 54, no. 3, p. 1602-1632 | Abstract: | The purpose of this paper is to derive filters for an arbitrary open quantum system driven by a light wave packet prepared in a continuous-mode multiphoton state. A continuous-mode multiphoton state is a state of a traveling light wave packet that contains a definite number of photons and is characterized by a temporal (or, equivalently, spectral) profile. After the interaction with the system, the outgoing light can be monitored by means of homodyne detection or photo-detection. Filters for both measurement schemes are derived in this paper. Unlike the vacuum or the coherent state case, the annihilation operator of the light field acting on a multiphoton state changes the state by annihilating a photon, and this makes the traditional filtering techniques inapplicable. To circumvent this difficulty, we adopt a non-Markovian embedding technique proposed in [J. E. Gough, M. R. James, and H. I. Nurdin, Quantum Inf. Process., 12 (2013), pp. 1469-1499] for the study of the single-photon filtering problem. However, the multiphoton nature of the problem addressed in this paper makes the study much more mathematically involved. Moreover, as demonstrated by an example -a two-level system driven by a continuous-mode two-photon state -multiphoton filters can reveal interesting strong nonlinear optical phenomena absent in both the single-photon state case and the continuous-mode Fock state case. | Keywords: | Multiphoton states Open quantum systems Quantum filtering |
Publisher: | Society for Industrial and Applied Mathematics | Journal: | SIAM journal on control and optimization | ISSN: | 0363-0129 | EISSN: | 1095-7138 | DOI: | 10.1137/15M1023099 | Rights: | © 2016 Society for Industrial and Applied Mathematics Posted with permission of the publisher. The following publication Song, H. T., Zhang, G. F., & Xi, Z. R. (2016). Continuous-Mode MultiPhoton Filtering. SIAM Journal on Control and Optimization, 54(3), 1602-1632 is available at https://doi.org/10.1137/15M1023099. |
| Appears in Collections: | Journal/Magazine Article |
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| a0850-n10_1741_15m1023099.pdf | 2.92 MB | Adobe PDF | View/Open |
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