Exact transition probabilities in a 6state Landau–Zener system with path interference
In this paper, we identify a nontrivial multistate Landau–Zener (LZ) model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the LZ formula. Finally, we discuss reasons for integrability of this system and provide numerical tests of the suggested expression for the transition probability matrix.
 Authors:

^{[1]}
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
 Publication Date:
 Report Number(s):
 LAUR1520432
Journal ID: ISSN 17518113
 Grant/Contract Number:
 AC5206NA25396
 Type:
 Accepted Manuscript
 Journal Name:
 Journal of Physics. A, Mathematical and Theoretical
 Additional Journal Information:
 Journal Volume: 48; Journal Issue: 19; Journal ID: ISSN 17518113
 Publisher:
 IOP Publishing
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE National Nuclear Security Administration (NNSA); USDOE Advanced Research Projects Agency  Energy (ARPAE)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; nonadiabatic transitions; LandauZener; exactly solvable model; quantum integrability
 OSTI Identifier:
 1325633
 Alternate Identifier(s):
 OSTI ID: 1239016
Sinitsyn, Nikolai A. Exact transition probabilities in a 6state Landau–Zener system with path interference. United States: N. p.,
Web. doi:10.1088/17518113/48/19/195305.
Sinitsyn, Nikolai A. Exact transition probabilities in a 6state Landau–Zener system with path interference. United States. doi:10.1088/17518113/48/19/195305.
Sinitsyn, Nikolai A. 2015.
"Exact transition probabilities in a 6state Landau–Zener system with path interference". United States.
doi:10.1088/17518113/48/19/195305. https://www.osti.gov/servlets/purl/1325633.
@article{osti_1325633,
title = {Exact transition probabilities in a 6state Landau–Zener system with path interference},
author = {Sinitsyn, Nikolai A.},
abstractNote = {In this paper, we identify a nontrivial multistate Landau–Zener (LZ) model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. In the semiclassical picture, this model features the possibility of interference of different trajectories that connect the same initial and final states. Hence, transition probabilities are generally not described by the incoherent successive application of the LZ formula. Finally, we discuss reasons for integrability of this system and provide numerical tests of the suggested expression for the transition probability matrix.},
doi = {10.1088/17518113/48/19/195305},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 19,
volume = 48,
place = {United States},
year = {2015},
month = {4}
}