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Title: Exact transition probabilities in a 6-state 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.
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
OSTI Identifier:
Report Number(s):
Journal ID: ISSN 1751-8113
Grant/Contract Number:
Accepted Manuscript
Journal Name:
Journal of Physics. A, Mathematical and Theoretical
Additional Journal Information:
Journal Volume: 48; Journal Issue: 19; Journal ID: ISSN 1751-8113
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 (ARPA-E)
Country of Publication:
United States
97 MATHEMATICS AND COMPUTING; nonadiabatic transitions; Landau-Zener; exactly solvable model; quantum integrability