Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum
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The freedom to define branch cuts of the complex function is used to derive an integral representation of the quantum carpet, thus producing a generalization of the Poincaré recurrence theorem in the case of the continuous spectrum. This approach provides a different way to renormalize resonant states to be both space and time convergent. The coherence of quantum carpets was related to the properties of the Wigner function in the canonical time-frequency phase space. It has been shown that the distortion of the Wigner function shape is directly responsible for the lack of the ability of the dynamics to produce revivals equally as sharp as the initial wave packet.
Извор:
Physical Review A, 2022, 105, 4, 042218-Финансирање / пројекти:
- Ministry of Education, Science, and Technological Development of the Republic of Serbia
DOI: 10.1103/PhysRevA.105.042218
ISSN: 2469-9926
WoS: 00080451780000
Scopus: 2-s2.0-85129230469
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VinčaTY - JOUR AU - Ćosić, Marko PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10255 AB - The freedom to define branch cuts of the complex function is used to derive an integral representation of the quantum carpet, thus producing a generalization of the Poincaré recurrence theorem in the case of the continuous spectrum. This approach provides a different way to renormalize resonant states to be both space and time convergent. The coherence of quantum carpets was related to the properties of the Wigner function in the canonical time-frequency phase space. It has been shown that the distortion of the Wigner function shape is directly responsible for the lack of the ability of the dynamics to produce revivals equally as sharp as the initial wave packet. T2 - Physical Review A T1 - Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum VL - 105 IS - 4 SP - 042218 DO - 10.1103/PhysRevA.105.042218 ER -
@article{ author = "Ćosić, Marko", year = "2022", abstract = "The freedom to define branch cuts of the complex function is used to derive an integral representation of the quantum carpet, thus producing a generalization of the Poincaré recurrence theorem in the case of the continuous spectrum. This approach provides a different way to renormalize resonant states to be both space and time convergent. The coherence of quantum carpets was related to the properties of the Wigner function in the canonical time-frequency phase space. It has been shown that the distortion of the Wigner function shape is directly responsible for the lack of the ability of the dynamics to produce revivals equally as sharp as the initial wave packet.", journal = "Physical Review A", title = "Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum", volume = "105", number = "4", pages = "042218", doi = "10.1103/PhysRevA.105.042218" }
Ćosić, M.. (2022). Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum. in Physical Review A, 105(4), 042218. https://doi.org/10.1103/PhysRevA.105.042218
Ćosić M. Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum. in Physical Review A. 2022;105(4):042218. doi:10.1103/PhysRevA.105.042218 .
Ćosić, Marko, "Quantum carpets in a leaky box: Poincaré's recurrences in the continuous spectrum" in Physical Review A, 105, no. 4 (2022):042218, https://doi.org/10.1103/PhysRevA.105.042218 . .