Multistate Landau-Zener models with all levels crossing at one point
Abstract
Within this paper, we discuss common properties and reasons for integrability in the class of multistate Landau-Zener models with all diabatic levels crossing at one point. Exploring the Stokes phenomenon, we show that each previously solved model has a dual one, whose scattering matrix can be also obtained analytically. For applications, we demonstrate how our results can be used to study conversion of molecular into atomic Bose condensates during passage through the Feshbach resonance, and provide purely algebraic solutions of the bowtie and special cases of the driven Tavis-Cummings model.
- Authors:
-
[1];
[1]
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States)
- Wayne State Univ., Detroit, MI (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1415384
- Alternate Identifier(s):
- OSTI ID: 1374072
- Report Number(s):
- LA-UR-17-24279
Journal ID: ISSN 2469-9926; TRN: US1800786
- Grant/Contract Number:
- AC52-06NA25396
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 96; Journal Issue: 2; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 74 ATOMIC AND MOLECULAR PHYSICS; 97 MATHEMATICS AND COMPUTING; Atomic and Nuclear Physics; Mathematics; Material Science; Integrability; Nonadiabatic Transitions; Quantum Control; Bose condensates; Tavis-Cummings model
Citation Formats
Li, Fuxiang, Sun, Chen, Chernyak, Vladimir Y., and Sinitsyn, Nikolai A. Multistate Landau-Zener models with all levels crossing at one point. United States: N. p., 2017.
Web. doi:10.1103/PhysRevA.96.022107.
Li, Fuxiang, Sun, Chen, Chernyak, Vladimir Y., & Sinitsyn, Nikolai A. Multistate Landau-Zener models with all levels crossing at one point. United States. https://doi.org/10.1103/PhysRevA.96.022107
Li, Fuxiang, Sun, Chen, Chernyak, Vladimir Y., and Sinitsyn, Nikolai A. Fri .
"Multistate Landau-Zener models with all levels crossing at one point". United States. https://doi.org/10.1103/PhysRevA.96.022107. https://www.osti.gov/servlets/purl/1415384.
@article{osti_1415384,
title = {Multistate Landau-Zener models with all levels crossing at one point},
author = {Li, Fuxiang and Sun, Chen and Chernyak, Vladimir Y. and Sinitsyn, Nikolai A.},
abstractNote = {Within this paper, we discuss common properties and reasons for integrability in the class of multistate Landau-Zener models with all diabatic levels crossing at one point. Exploring the Stokes phenomenon, we show that each previously solved model has a dual one, whose scattering matrix can be also obtained analytically. For applications, we demonstrate how our results can be used to study conversion of molecular into atomic Bose condensates during passage through the Feshbach resonance, and provide purely algebraic solutions of the bowtie and special cases of the driven Tavis-Cummings model.},
doi = {10.1103/PhysRevA.96.022107},
journal = {Physical Review A},
number = 2,
volume = 96,
place = {United States},
year = {Fri Aug 04 00:00:00 EDT 2017},
month = {Fri Aug 04 00:00:00 EDT 2017}
}
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Works referencing / citing this record:
A large class of solvable multistate Landau–Zener models and quantum integrability
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