Integrable multistate Landau–Zener models with parallel energy levels

Chernayk, Vladimir Y.; Li, Fuxiang; Sun, Chen; Sinitsyn, Nikolai A.

doi:10.1088/1751-8121/ab9464

Integrable multistate Landau–Zener models with parallel energy levels

Journal Article · Thu Jul 02 00:00:00 EDT 2020 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/ab9464· OSTI ID:1734728

Chernayk, Vladimir Y. ^[1]; ^[2]; ^[3]; ^[4]

Wayne State Univ., Detroit, MI (United States)
Hunan Univ., Changsa (China)
Brown Univ., Providence, RI (United States)
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

In this paper, we discuss solvable multistate Landau–Zener (MLZ) models whose Hamiltonians have commuting partner operators with ~1/τ-time-dependent parameters. Many already known solvable MLZ models belong precisely to this class. We derive the integrability conditions on the parameters of such commuting operators, and demonstrate how to use such conditions in order to derive new solvable cases. We show that MLZ models from this class must contain bands of parallel diabatic energy levels. The structure of the scattering matrix and other properties are found to be the same as in the previously discussed completely solvable MLZ Hamiltonians.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: National Natural Science Foundation of China (NNSFC); USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division

Grant/Contract Number:: 89233218CNA000001

OSTI ID:: 1734728

Alternate ID(s):: OSTI ID: 1735912
OSTI ID: 23025440

Report Number(s):: LA-UR--20-20621; LA-UR--20-24428

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 29 Vol. 53; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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