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Title: Solvable four-state Landau-Zener model of two interacting qubits with path interference

Abstract

In this paper, I identify a nontrivial four-state Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. The model describes an experimentally accessible system of two interacting qubits, such as a localized state in a Dirac material with both valley and spin degrees of freedom or a singly charged quantum dot (QD) molecule with spin orbit coupling. Application of the linearly time-dependent magnetic field induces a sequence of quantum level crossings with possibility of interference of different trajectories in a semiclassical picture. I argue that this system satisfies the criteria of integrability in the multistate Landau-Zener theory, which allows one to derive explicit exact analytical expressions for the transition probability matrix. Finally, I also argue that this model is likely a special case of a larger class of solvable systems, and present a six-state generalization as an example.

Authors:
 [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program
OSTI Identifier:
1335604
Alternate Identifier(s):
OSTI ID: 1227519
Report Number(s):
LA-UR-15-28160
Journal ID: ISSN 1098-0121
Grant/Contract Number:  
AC52-06NA25396
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Physical Review. B, Condensed Matter and Materials Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 20; Journal ID: ISSN 1098-0121
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; Mathematics; Material Science; quantum dots

Citation Formats

Sinitsyn, Nikolai A. Solvable four-state Landau-Zener model of two interacting qubits with path interference. United States: N. p., 2015. Web. doi:10.1103/PhysRevB.92.205431.
Sinitsyn, Nikolai A. Solvable four-state Landau-Zener model of two interacting qubits with path interference. United States. https://doi.org/10.1103/PhysRevB.92.205431
Sinitsyn, Nikolai A. Mon . "Solvable four-state Landau-Zener model of two interacting qubits with path interference". United States. https://doi.org/10.1103/PhysRevB.92.205431. https://www.osti.gov/servlets/purl/1335604.
@article{osti_1335604,
title = {Solvable four-state Landau-Zener model of two interacting qubits with path interference},
author = {Sinitsyn, Nikolai A.},
abstractNote = {In this paper, I identify a nontrivial four-state Landau-Zener model for which transition probabilities between any pair of diabatic states can be determined analytically and exactly. The model describes an experimentally accessible system of two interacting qubits, such as a localized state in a Dirac material with both valley and spin degrees of freedom or a singly charged quantum dot (QD) molecule with spin orbit coupling. Application of the linearly time-dependent magnetic field induces a sequence of quantum level crossings with possibility of interference of different trajectories in a semiclassical picture. I argue that this system satisfies the criteria of integrability in the multistate Landau-Zener theory, which allows one to derive explicit exact analytical expressions for the transition probability matrix. Finally, I also argue that this model is likely a special case of a larger class of solvable systems, and present a six-state generalization as an example.},
doi = {10.1103/PhysRevB.92.205431},
url = {https://www.osti.gov/biblio/1335604}, journal = {Physical Review. B, Condensed Matter and Materials Physics},
issn = {1098-0121},
number = 20,
volume = 92,
place = {United States},
year = {2015},
month = {11}
}

Journal Article:

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Cited by: 8 works
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Works referenced in this record:

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    Works referencing / citing this record:

    Solvable multistate model of Landau-Zener transitions in cavity QED
    journal, June 2016


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


    Dynamic spin localization and γ -magnets
    journal, December 2019


    Landau-Zener interferometry of valley-orbit states in Si/SiGe double quantum dots
    journal, October 2018


    Integrable Time-Dependent Quantum Hamiltonians
    journal, May 2018