The quest for solvable multistate Landau-Zener models

Sinitsyn, Nikolai A.; Chernyak, Vladimir Y.

doi:10.1088/1751-8121/aa6800

The quest for solvable multistate Landau-Zener models

Journal Article · Wed May 24 00:00:00 EDT 2017 · Journal of Physics. A, Mathematical and Theoretical

DOI:https://doi.org/10.1088/1751-8121/aa6800· OSTI ID:1375172

^[1]; Chernyak, Vladimir Y. ^[2]

Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Wayne State Univ., Detroit, MI (United States)

Recently, integrability conditions (ICs) in mutistate Landau-Zener (MLZ) theory were proposed. They describe common properties of all known solved systems with linearly time-dependent Hamiltonians. Here we show that ICs enable efficient computer assisted search for new solvable MLZ models that span complexity range from several interacting states to mesoscopic systems with many-body dynamics and combinatorially large phase space. This diversity suggests that nontrivial solvable MLZ models are numerous. Additionally, we refine the formulation of ICs and extend the class of solvable systems to models with points of multiple diabatic level crossing.

View Accepted Manuscript (DOE)

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

Sponsoring Organization:: LDRD; USDOE

Grant/Contract Number:: AC52-06NA25396

OSTI ID:: 1375172

Alternate ID(s):: OSTI ID: 22656398

Report Number(s):: LA-UR--16-29453

Journal Information:: Journal of Physics. A, Mathematical and Theoretical, Journal Name: Journal of Physics. A, Mathematical and Theoretical Journal Issue: 25 Vol. 50; ISSN 1751-8113

Publisher:: IOP PublishingCopyright Statement

Country of Publication:: United States

Language:: English

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Suppression of multiphoton resonances in driven quantum systems via pulse shape optimization Gagnon, Denis; Fillion-Gourdeau, François; Dumont, Joey arXiv https://doi.org/10.48550/arxiv.1703.04165	text	January 2017
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Eigenmodes of a lamellar optical grating: Profile, propagation, reflection, transmission, and nonadiabatic mode coupling Kocharovsky, V. V.; Reynolds, C. B.; Kocharovsky, Vl. V. Physical Review A, Vol. 100, Issue 5 https://doi.org/10.1103/physreva.100.053854	journal	November 2019
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
Suppression of Multiphoton Resonances in Driven Quantum Systems via Pulse Shape Optimization Gagnon, Denis; Fillion-Gourdeau, François; Dumont, Joey Physical Review Letters, Vol. 119, Issue 5 https://doi.org/10.1103/physrevlett.119.053203	journal	August 2017
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

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The quest for solvable multistate Landau-Zener models

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References (29)

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