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Title: Exact transition probabilities in a 6-state Landau–Zener system with path interference

Abstract

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.

Authors:
 [1]
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  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Research Org.:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Advanced Research Projects Agency - Energy (ARPA-E)
OSTI Identifier:
1325633
Alternate Identifier(s):
OSTI ID: 1239016
Report Number(s):
LA-UR-15-20432
Journal ID: ISSN 1751-8113
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
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
Publisher:
IOP Publishing
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; nonadiabatic transitions; Landau-Zener; exactly solvable model; quantum integrability

Citation Formats

Sinitsyn, Nikolai A. Exact transition probabilities in a 6-state Landau–Zener system with path interference. United States: N. p., 2015. Web. doi:10.1088/1751-8113/48/19/195305.
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Sinitsyn, Nikolai A. Exact transition probabilities in a 6-state Landau–Zener system with path interference. United States. https://doi.org/10.1088/1751-8113/48/19/195305
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Sinitsyn, Nikolai A. Thu . "Exact transition probabilities in a 6-state Landau–Zener system with path interference". United States. https://doi.org/10.1088/1751-8113/48/19/195305. https://www.osti.gov/servlets/purl/1325633.
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@article{osti_1325633,
title = {Exact transition probabilities in a 6-state Landau–Zener system with path interference},
author = {Sinitsyn, Nikolai A.},
abstractNote = {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.},
doi = {10.1088/1751-8113/48/19/195305},
journal = {Journal of Physics. A, Mathematical and Theoretical},
number = 19,
volume = 48,
place = {United States},
year = {Thu Apr 23 00:00:00 EDT 2015},
month = {Thu Apr 23 00:00:00 EDT 2015}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1088/1751-8113/48/19/195305
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Works referenced in this record:

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    Works referencing / citing this record:

    Degenerate Landau–Zener model in the presence of quantum noise
    journal, August 2019

    A large class of solvable multistate Landau–Zener models and quantum integrability
    journal, May 2018

    • Chernyak, Vladimir Y.; Sinitsyn, Nikolai A.; Sun, Chen
    • Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 24
    • DOI: 10.1088/1751-8121/aac3b2

    Detuning-induced robustness of a three-state Landau-Zener model against dissipation
    journal, June 2019

    Solvable multistate model of Landau-Zener transitions in cavity QED
    text, January 2016

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