| ATOMIC AND MOLECULAR PHYSICS |
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Three-Channel Interference Interpretation of Fano Profile |
| Bo Li1, Tian-Jun Li1, Zi-Ru Ma1, Xi-Yuan Wang1, Xin-Chao Huang2, and Lin-Fan Zhu1* |
1Department of Modern Physics, University of Science and Technology of China, Hefei 230026, China
2European XFEL, Holzkoppel 4, 22869 Schenefeld, Germany
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| Cite this article: |
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Bo Li, Tian-Jun Li, Zi-Ru Ma et al 2024 Chin. Phys. Lett. 41 053201 |
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Abstract Fano resonance is a ubiquitous phenomenon, and it is commonly interpreted as a two-channel interference of the discrete and continuous channels. The present work investigates the Fano profile from a perspective of the temporal evolution of the wave function. By exciting the atom with a $\delta$ pulse and calculating the evolution of the wave function, the Fano formula is deduced. The results clearly show that the Fano resonance is of a three-channel interference, which is different from the traditional understanding. The three channels are revealed as the ground-continuum, ground-discrete-continuum, and a previously unmentioned third channel, i.e., ground-continuum-discrete-continuum. The present three-channel interpretation can be easily generalized to other physical systems, contributing to a deeper understanding of the Fano profile.
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Received: 31 August 2023
Published: 07 May 2024
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| [1] | Brown W G and Gibson G E 1932 Phys. Rev. 40 529 |
| [2] | Beutler H 1935 Z. Phys. 93 177 |
| [3] | Rice O K 1933 J. Chem. Phys. 1 375 |
| [4] | Fano U 1935 Nuovo Cimento 12 154 |
| [5] | Friedrichs K O 1948 Commun. Pure Appl. Math. 1 361 |
| [6] | Fano U 1961 Phys. Rev. 124 1866 |
| [7] | Du X J, Xu Y C, Wang L H, Li T J, Ma Z R, Wang S X, and Zhu L F 2022 Phys. Rev. A 105 012812 |
| [8] | Liu X J, Zhu L F, Yuan Z S, Li W B, Cheng H D, Huang Y P, Zhong Z P, Xu K Z, and Li J M 2003 Phys. Rev. Lett. 91 193203 |
| [9] | Heeg K P, Ott C, Schumacher D, Wille H C, Röhlsberger R, Pfeifer T, and Evers J 2015 Phys. Rev. Lett. 114 207401 |
| [10] | Li T J, Huang X C, Ma Z R, Li B, and Zhu L F 2022 Phys. Rev. Res. 4 023081 |
| [11] | Ma Z R, Huang X C, Li T J, Wang H C, Liu G C, Wang Z S, Li B, Li W B, and Zhu L F 2022 Phys. Rev. Lett. 129 213602 |
| [12] | Limonov M F, Rybin M V, Poddubny A N, and Kivshar Y S 2017 Nat. Photonics 11 543 |
| [13] | Rybin M V, Filonov D S, Belov P A, Kivshar Y S, and Limonov M F 2015 Sci. Rep. 5 8774 |
| [14] | Rybin M V, Samusev K B, Kapitanova P V, Filonov D S, Belov P A, Kivshar Y S, and Limonov M F 2017 Phys. Rev. B 95 165119 |
| [15] | Kobayashi K, Aikawa H, Katsumoto S, and Iye Y 2002 Phys. Rev. Lett. 88 256806 |
| [16] | Yoon Y, Kang M G, Morimoto T, Mourokh L, Aoki N, Reno J L, Bird J P, and Ochiai Y 2009 Phys. Rev. B 79 121304 |
| [17] | Kroner M, Govorov A O, Remi S, Biedermann B, Seidl S, Badolato A, Petroff P M, Zhang W, Barbour R, Gerardot B D, Warburton R J, and Karrai K 2008 Nature 451 311 |
| [18] | Miroshnichenko A E, Flach S, and Kivshar Y S 2010 Rev. Mod. Phys. 82 2257 |
| [19] | Mourokh L G, Puller V I, Smirnov A Y, and Bird J P 2005 Appl. Phys. Lett. 87 192501 |
| [20] | Connerade J P and Lane A M 1985 J. Phys. B 18 L605 |
| [21] | Connerade J P and Lane A M 1987 J. Phys. B 20 L181 |
| [22] | Connerade J P and Lane A M 1987 J. Phys. B 20 L363 |
| [23] | Connerade J P and Lane A M 1988 Rep. Prog. Phys. 51 1439 |
| [24] | Bransden B and Joachain C 2004 Physics of Atoms and Molecules 2nd edn (Pearson Education) |
| [25] | Feshbach H 1958 Ann. Phys. 5 357 |
| [26] | Feshbach H 2000 Ann. Phys. 281 519 |
| [27] | Mercouris T, Komninos Y, and Nicolaides C A 2007 Phys. Rev. A 75 013407 |
| [28] | Chu W C and Lin C D 2010 Phys. Rev. A 82 053415 |
| [29] | Desrier A, Maquet A, Taı̈eb R, and Caillat J 2018 Phys. Rev. A 98 053406 |
| [30] | Kaldun A, Blättermann A, Stooß V, Donsa S, Wei H, Pazourek R, Nagele S, Ott C, Lin C D, Burgdörfer J, and Pfeifer T 2016 Science 354 738 |
| [31] | Ott C, Kaldun A, Raith P, Meyer K, Laux M, Evers J, Keitel C H, Greene C H, and Pfeifer T 2013 Science 340 716 |
| [32] | Peng P, Mi Y H, Lytova M, Britton M, Ding X Y, Naumov A Y, Corkum P B, and Villeneuve D M 2022 Nat. Photonics 16 45 |
| [33] | Wickenhauser M, Burgdörfer J, Krausz F, and Drescher M 2005 Phys. Rev. Lett. 94 023002 |
| [34] | Weisskopf V and Wigner E 1930 Z. Phys. 63 54 |
| [35] | Domke M, Xue C, Puschmann A, Mandel T, Hudson E, Shirley D A, Kaindl G, Greene C H, Sadeghpour H R, and Petersen H 1991 Phys. Rev. Lett. 66 1306 |
| [36] | Yuan Z S, Han X Y, Liu X J, Zhu L F, Xu K Z, Voky L, and Li J M 2004 Phys. Rev. A 70 062706 |
| [37] | Cohen-Tannoudji C, Diu B, and Laloe F 1978 Quantum Mechanics (Wiley-Interscience) vol ii p 1344 |
| [38] | Hsu C W, Zhen B, Stone A D, Joannopoulos J D, and Soljačić M 2016 Nat. Rev. Mater. 1 16048 |
| [39] | Luk'yanchuk B, Zheludev N I, Maier S A, Halas N J, Nordlander P, Giessen H, and Chong C T 2010 Nat. Mater. 9 707 |
| [40] | Kuznetsov A I, Miroshnichenko A E, Brongersma M L, Kivshar Y S, and Luk'yanchuk B 2016 Science 354 aag2472 |
| [41] | Kobayashi K, Aikawa H, Katsumoto S, and Iye Y 2003 Phys. Rev. B 68 235304 |
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