Ya. V. Fyodorov, D. V. Savin, “Statistics of impedance, local density of states, and reflection in quantum chaotic systems with absorption”, Pis'ma v Zh. Èksper. Teoret. Fiz., 80:12 (2004), 855–859; JETP Letters, 80:12 (2004), 725

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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2004, Volume 80, Issue 12, Pages 855–859 (Mi jetpl2187)

This article is cited in 63 scientific papers (total in 63 papers)

ATOMS, SPECTRA, RADIATIONS

Statistics of impedance, local density of states, and reflection in quantum chaotic systems with absorption

Ya. V. Fyodorov^ab, D. V. Savin^c

^a Department of Mathematical Sciences, Brunel University, Uxbridge UB83PH, United Kingdom
^b Petersburg Nuclear Physics Institute RAS, 188300 Gatchina, Russia
^c Fachbereich Physik, Universität Duisburg-Essen, 45117 Essen, Germany

Full-text PDF (238 kB) Citations (63)

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Abstract: We are interested in finding the joint distribution function of the real and imaginary parts of the local Green function for a system with chaotic internal wave scattering and a uniform energy loss (absorption). For a microwave cavity attached to a single-mode antenna the same quantity has a meaning of the complex cavity impedance. Using the random matrix approach, we relate its statistics to that of the reflection coefficient and scattering phase and provide exact distributions for systems with

$\beta{=}2$ and

$\beta{=}4$ symmetry class. In the case of

$\beta{=}1$ we provide an interpolation formula which incorporates all known limiting cases and fits excellently available experimental data as well as diverse numeric tests.

Received: 11.11.2004

English version:
Journal of Experimental and Theoretical Physics Letters, 2004, Volume 80, Issue 12, Pages 725–729
DOI: https://doi.org/10.1134/1.1868794

Bibliographic databases:

Document Type: Article

PACS: 05.45.Mt, 42.25.Bs, 73.23.-b

Language: English

Citation: Ya. V. Fyodorov, D. V. Savin, “Statistics of impedance, local density of states, and reflection in quantum chaotic systems with absorption”, Pis'ma v Zh. Èksper. Teoret. Fiz., 80:12 (2004), 855–859; JETP Letters, 80:12 (2004), 725–729

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/jetpl2187

https://www.mathnet.ru/eng/jetpl/v80/i12/p855

This publication is cited in the following 63 articles:

Omer Farooq, Afshin Akhshani, Michał Ławniczak, Małgorzata Białous, Leszek Sirko, Phys. Rev. E, 110:1 (2024)
Lei Chen, Isabella L. Giovannelli, Nadav Shaibe, Steven M. Anlage, Phys. Rev. B, 110:4 (2024)
Leticia F. Cugliandolo, Grégory Schehr, Marco Tarzia, Davide Venturelli, Phys. Rev. B, 110:17 (2024)
Michał Ławniczak, Afshin Akhshani, Omer Farooq, Szymon Bauch, Małgorzata Białous, Leszek Sirko, Springer Proceedings in Complexity, 16th Chaotic Modeling and Simulation International Conference, 2024, 331
Y.V. Fyodorov AFFSTART, Acta Phys. Pol. A, 144:6 (2023), 447
Michał Ławniczak, Afshin Akhshani, Omer Farooq, Małgorzata Białous, Szymon Bauch, Barbara Dietz, Leszek Sirko, Phys. Rev. E, 107:2 (2023)
M. Ławniczak, A. Akhshani, O. Farooq, S. Bauch, L. Sirko, Acta Phys. Pol. A, 144:6 (2023), 469
Yan V Fyodorov, Mohammed Osman, J. Phys. A: Math. Theor., 55:22 (2022), 224013
Karcher J.F., Charles N., Gruzberg I.A., Mirlin A.D., Ann. Phys., 435:2, SI (2021), 168584
Puschmann M., Hernangomez-Perez D., Lang B., Bera S., Evers F., Phys. Rev. B, 103:23 (2021), 235167
Cécile Monthus, J. Stat. Mech., 2021:3 (2021), 033303
Lawniczak M., van Tiggelen B., Sirko L., Phys. Rev. E, 102:5 (2020), 052214
Ma Sh., Xiao B., Drikas Z., Addissie B., Hong R., Antonsen T.M., Ott E., Anlage S.M., Phys. Rev. E, 101:2 (2020), 022201
Fedeli S.B., Fyodorov V Ya., J. Phys. A-Math. Theor., 53:16 (2020), 165701
Grabsch A., J. Phys. A-Math. Theor., 53:2 (2020), 025202
del Hougne Ph., Savin V D., Legrand O., Kuhl U., Phys. Rev. E, 102:1 (2020), 010201
Osman M., Fyodorov Ya.V., Phys. Rev. E, 102:1 (2020), 012202
Ma Sh., Phang S., Drikas Z., Addissie B., Hong R., Blakaj V., Gradoni G., Tanner G., Antonsen T.M., Ott E., Anlage S.M., Phys. Rev. Appl., 14:1 (2020), 014022
Savin V D., Phys. Rev. Res., 2:1 (2020), 013246
Bouchaud J.-Ph., Potters M., J. Phys. A-Math. Theor., 52:2 (2019), 024001

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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