Artículo
Geometric driving of two-level quantum systems
Autor/es | Ying, Zu-Jian
Gentile, Paola Baltanás, José P. Frustaglia, Diego César Ortix, Carmine Cuoco, Mario |
Departamento | Universidad de Sevilla. Departamento de Física Aplicada II |
Fecha de publicación | 2020 |
Fecha de depósito | 2023-04-14 |
Publicado en |
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Resumen | We investigate a class of cyclic evolutions for driven two-level quantum systems (effective spin 1/2) with a particular focus on the geometric characteristics of the driving and their specific imprints on the quantum ... We investigate a class of cyclic evolutions for driven two-level quantum systems (effective spin 1/2) with a particular focus on the geometric characteristics of the driving and their specific imprints on the quantum dynamics. By introducing the concept of geometric driving curvature for any field trajectory in the parameter space, we are able to unveil underlying patterns in the overall quantum behavior: the knowledge of the driving curvature provides a nonstandard and fresh access to the interrelation between field and spin trajectories, and the corresponding quantum phases acquired in nonadiabatic cyclic evolutions. In this context, we single out setups in which the driving field curvature can be employed to demonstrate a pure geometric control of the quantum phases. Furthermore, the driving field curvature can be naturally exploited to introduce the geometrical torque and derive a general expression for the total quantum phase acquired in a cycle. Remarkably, such relation allows to access the mechanisms controlling the changeover of the quantum phase across a topological transition and to disentangle the role of the spin and field topological windings. As for implementations, we discuss a series of physical systems and platforms to demonstrate how the geometric control of the quantum phases can be realized for pendular field drivings. This includes setups based on superconducting islands coupled to a Josephson junction and inversion-asymmetric nanochannels with suitably tailored geometric shapes. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) National Natural Science Foundation of China |
Identificador del proyecto | FIS2014-53385-P
FIS2017-86478-P EU/H2020 680-47-543 11974151 20177SL7HC |
Cita | Ying, Z., Gentile, P., Baltanás Illanes, J.P., Frustaglia, D.C., Ortix, C. y Cuoco, M. (2020). Geometric driving of two-level quantum systems. Physical Review Research, 2 (023167). https://doi.org/10.1103/PhysRevResearch.2.023167. |
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