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

Sinitsyn, Nikolai A.

doi:10.1088/1751-8113/48/19/195305

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

Journal Article · Thu Apr 23 00:00:00 EDT 2015 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8113/48/19/195305· OSTI ID:1325633

Sinitsyn, Nikolai A. ^[1]

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

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.

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

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Advanced Research Projects Agency - Energy (ARPA-E)

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1325633

Alternate ID(s):: OSTI ID: 1239016

Report Number(s):: LA-UR-15-20432

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Vol. 48, Issue 19; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 25 works

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References (31)

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Cited By (4)

Degenerate Landau–Zener model in the presence of quantum noise Militello, Benedetto International Journal of Quantum Information, Vol. 17, Issue 05 https://doi.org/10.1142/s0219749919500497	journal	August 2019
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
Detuning-induced robustness of a three-state Landau-Zener model against dissipation Militello, Benedetto Physical Review A, Vol. 99, Issue 6 https://doi.org/10.1103/physreva.99.063412	journal	June 2019
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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