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

Sinitsyn, Nikolai A.

doi:10.1103/PhysRevB.92.205431

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

Journal Article · Mon Nov 30 00:00:00 EST 2015 · Physical Review. B, Condensed Matter and Materials Physics

DOI:https://doi.org/10.1103/PhysRevB.92.205431· OSTI ID:1335604

Sinitsyn, Nikolai A. ^[1]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division

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.

View Accepted Manuscript (DOE)

Research Organization:: Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Sponsoring Organization:: USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1335604

Alternate ID(s):: OSTI ID: 1227519

Report Number(s):: LA-UR--15-28160

Journal Information:: Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 20 Vol. 92; ISSN 1098-0121

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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Cited By (6)

A large class of solvable multistate Landau–Zener models and quantum integrability Chernyak, Vladimir Y.; Sinitsyn, Nikolai A.; Sun, Chen Journal of Physics A: Mathematical and Theoretical, Vol. 51, Issue 24 https://doi.org/10.1088/1751-8121/aac3b2	journal	May 2018
Solvable multistate model of Landau-Zener transitions in cavity QED Sinitsyn, Nikolai A.; Li, Fuxiang Physical Review A, Vol. 93, Issue 6 https://doi.org/10.1103/physreva.93.063859	journal	June 2016
Dynamic spin localization and γ -magnets Chernyak, Vladimir Y.; Sinitsyn, Nikolai A.; Sun, Chen Physical Review B, Vol. 100, Issue 22 https://doi.org/10.1103/physrevb.100.224304	journal	December 2019
Landau-Zener interferometry of valley-orbit states in Si/SiGe double quantum dots Mi, X.; Kohler, S.; Petta, J. R. Physical Review B, Vol. 98, Issue 16 https://doi.org/10.1103/physrevb.98.161404	journal	October 2018
Integrable Time-Dependent Quantum Hamiltonians Sinitsyn, Nikolai A.; Yuzbashyan, Emil A.; Chernyak, Vladimir Y. Physical Review Letters, Vol. 120, Issue 19 https://doi.org/10.1103/physrevlett.120.190402	journal	May 2018
Solvable multistate model of Landau-Zener transitions in cavity QED Sinitsyn, Nikolai A.; Li, Fuxiang arXiv https://doi.org/10.48550/arxiv.1602.03136	text	January 2016

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