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Title: 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:
ORCiD logo [1];  [2];  [3]; ORCiD logo [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Texas A & M Univ., College Station, TX (United States)
  3. 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:
Journal Article: 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. doi: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. doi: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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