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 3
Guéry-Odelin et al., Shortcuts to adiabaticity: Concepts, methods, and applications
Rev. Mod. Phys. 91, 045001 (2019) [Crossref]
Takahashi et al., Nonadiabatic Control of Geometric Pumping
Phys. Rev. Lett. 124, 150602 (2020) [Crossref]
Takahashi, Hamiltonian Engineering for Adiabatic Quantum Computation: Lessons from Shortcuts to Adiabaticity
J. Phys. Soc. Jpn. 88, 061002 (2019) [Crossref]
Ontology / TopicsSee full Ontology or Topics database.
Authors / Affiliation: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Kohji Nishimura,
- 1 Kazutaka Takahashi