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Title: The quest for solvable multistate Landau-Zener models

Abstract

Recently, integrability conditions (ICs) in mutistate Landau-Zener (MLZ) theory were proposed. They describe common properties of all known solved systems with linearly time-dependent Hamiltonians. Here we show that ICs enable efficient computer assisted search for new solvable MLZ models that span complexity range from several interacting states to mesoscopic systems with many-body dynamics and combinatorially large phase space. This diversity suggests that nontrivial solvable MLZ models are numerous. Additionally, we refine the formulation of ICs and extend the class of solvable systems to models with points of multiple diabatic level crossing.

Authors:
ORCiD logo [1];  [2]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  2. Wayne State Univ., Detroit, MI (United States)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1375172
Report Number(s):
LA-UR-16-29453
Journal ID: ISSN 1751-8113
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Journal of Physics. A, Mathematical and Theoretical
Additional Journal Information:
Journal Volume: 50; Journal Issue: 25; Journal ID: ISSN 1751-8113
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICS AND COMPUTING; mathematics; material science; driven matter; quantum control; integrability; Landau-Zener; quantum integrability; matrix product ansatz; nonadiabatic transitions

Citation Formats

Sinitsyn, Nikolai A., and Chernyak, Vladimir Y. The quest for solvable multistate Landau-Zener models. United States: N. p., 2017. Web. doi:10.1088/1751-8121/aa6800.
Sinitsyn, Nikolai A., & Chernyak, Vladimir Y. The quest for solvable multistate Landau-Zener models. United States. https://doi.org/10.1088/1751-8121/aa6800
Sinitsyn, Nikolai A., and Chernyak, Vladimir Y. Wed . "The quest for solvable multistate Landau-Zener models". United States. https://doi.org/10.1088/1751-8121/aa6800. https://www.osti.gov/servlets/purl/1375172.
@article{osti_1375172,
title = {The quest for solvable multistate Landau-Zener models},
author = {Sinitsyn, Nikolai A. and Chernyak, Vladimir Y.},
abstractNote = {Recently, integrability conditions (ICs) in mutistate Landau-Zener (MLZ) theory were proposed. They describe common properties of all known solved systems with linearly time-dependent Hamiltonians. Here we show that ICs enable efficient computer assisted search for new solvable MLZ models that span complexity range from several interacting states to mesoscopic systems with many-body dynamics and combinatorially large phase space. This diversity suggests that nontrivial solvable MLZ models are numerous. Additionally, we refine the formulation of ICs and extend the class of solvable systems to models with points of multiple diabatic level crossing.},
doi = {10.1088/1751-8121/aa6800},
url = {https://www.osti.gov/biblio/1375172}, journal = {Journal of Physics. A, Mathematical and Theoretical},
issn = {1751-8113},
number = 25,
volume = 50,
place = {United States},
year = {2017},
month = {5}
}

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Cited by: 7 works
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