Counterdiabatic Hamiltonians for multistate Landau-Zener problem

Kohji Nishimura, Kazutaka Takahashi

SciPost Phys. 5, 029 (2018) · published 27 September 2018

Abstract

We study the Landau-Zener transitions generalized to multistate systems. Based on the work by Sinitsyn et al. [Phys. Rev. Lett. 120, 190402 (2018)], we introduce the auxiliary Hamiltonians that are interpreted as the counterdiabatic terms. We find that the counterdiabatic Hamiltonians satisfy the zero curvature condition. The general structures of the auxiliary Hamiltonians are studied in detail and the time-evolution operator is evaluated by using a deformation of the integration contour and asymptotic forms of the auxiliary Hamiltonians. For several spin models with transverse field, we calculate the transition probability between the initial and final ground states and find that the method is useful to study nonadiabatic regime.

Cited by 1

Crossref Cited-by

Ontology / Topics

See full Ontology or Topics database.

Counter-diabatic Hamiltonians Landau-Zener problem

Authors / Affiliation: mappings to Contributors and Organizations

See all Organizations.
Funder for the research work leading to this publication