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:
-
- 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 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:
- 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},
journal = {Physical Review. B, Condensed Matter and Materials Physics},
number = 20,
volume = 92,
place = {United States},
year = {Mon Nov 30 00:00:00 EST 2015},
month = {Mon Nov 30 00:00:00 EST 2015}
}
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Works referencing / citing this record:
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
Landau-Zener interferometry of valley-orbit states in Si/SiGe double quantum dots
journal, October 2018
- Mi, X.; Kohler, S.; Petta, J. R.
- Physical Review B, Vol. 98, Issue 16
Solvable multistate model of Landau-Zener transitions in cavity QED
text, January 2016
- Sinitsyn, Nikolai A.; Li, Fuxiang
- arXiv