Multistate Landau-Zener models with all levels crossing at one point

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

doi:10.1103/PhysRevA.96.022107

Title: Multistate Landau-Zener models with all levels crossing at one point

Journal Article · Fri Aug 04 00:00:00 EDT 2017 · Physical Review A

DOI:https://doi.org/10.1103/PhysRevA.96.022107· OSTI ID:1415384

^[1]; Sun, Chen ^[2]; Chernyak, Vladimir Y. ^[3];

^[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)

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.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1415384

Alternate ID(s):: OSTI ID: 1374072

Report Number(s):: LA-UR-17-24279; TRN: US1800786

Journal Information:: Physical Review A, Vol. 96, Issue 2; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 17 works

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A large class of solvable multistate Landau–Zener models and quantum integrability Chernyak, Vladimir Y.; Sinitsyn, Nikolai A.; Sun, Chen Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 24 https://doi.org/10.1088/1751-8121/aac3b2	journal	May 2018
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Degenerate Landau–Zener model in the presence of quantum noise Militello, Benedetto International Journal of Quantum Information, Vol. 17, Issue 05 https://doi.org/10.1142/s0219749919500497	journal	August 2019

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Title: Multistate Landau-Zener models with all levels crossing at one point

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