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Title: Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models

Authors:
;
Publication Date:
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1392715
Grant/Contract Number:
FG02-06ER46313
Resource Type:
Journal Article: Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 96; Journal Issue: 11; Related Information: CHORUS Timestamp: 2017-09-19 10:20:00; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English

Citation Formats

Malla, Rajesh K., and Raikh, M. E.. Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models. United States: N. p., 2017. Web. doi:10.1103/PhysRevB.96.115437.
Malla, Rajesh K., & Raikh, M. E.. Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models. United States. doi:10.1103/PhysRevB.96.115437.
Malla, Rajesh K., and Raikh, M. E.. 2017. "Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models". United States. doi:10.1103/PhysRevB.96.115437.
@article{osti_1392715,
title = {Loss of adiabaticity with increasing tunneling gap in nonintegrable multistate Landau-Zener models},
author = {Malla, Rajesh K. and Raikh, M. E.},
abstractNote = {},
doi = {10.1103/PhysRevB.96.115437},
journal = {Physical Review B},
number = 11,
volume = 96,
place = {United States},
year = 2017,
month = 9
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on September 19, 2018
Publisher's Accepted Manuscript

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  • 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.
  • 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.
  • A dynamic four-state system is considered within the context of multistate Landau-Zener theory. It is shown that the theory accounts very well for the time-dependent state populations and final transition probabilities even in cases when multiple crossings appear in close vicinity of each other. This is also true for multiple paths systems when the phases are appropriately accounted for. It is found that transitions may take place also between diabatic states that do not couple directly and that the dynamics of such crossings may be accurately described within the multichannel Landau-Zener theory.
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