Geometric vector potentials from nonadiabatic spin dynamics

Baltanás, J. P.; Saarikoski, Henri; Reynoso, Andrés A.; Frustaglia, Diego

doi:10.1103/physrevb.96.035312

Cited by 8 publications

(5 citation statements)

References 17 publications

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“…It has been suggested that this effective phase of geometrical origin could be studied by either interferometric means in ring systems or analyzing resonances in spin or other two-level quantum systems. [33][34][35] Here we show that signatures of a transition sharing some of the features associated to the effective geometric phase may be observed in the anisotropy oscillations considered in this work.…”

Section: Imprints Of Geometric Phase Switchingsupporting

confidence: 61%

Spin interferometry in anisotropic spin-orbit fields

et al. 2018

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Electron spins in a two-dimensional electron gas (2DEG) can be manipulated by spin-orbit (SO) fields originating from either Rashba or Dresselhaus interactions with independent isotropic characteristics. Together, though, they produce anisotropic SO fields with consequences on quantum transport through spin interference. Here we study the transport properties of modelled mesoscopic rings subject to Rashba and Dresselhaus [001] SO couplings in the presence of an additional inplane Zeeman field acting as a probe. By means of 1D and 2D quantum transport simulations we show that this setting presents anisotropies in the quantum resistance as a function of the Zeeman field direction. Moreover, the anisotropic resistance can be tuned by the Rashba strength up to the point to invert its response to the Zeeman field. We also find that a topological transition in the field texture that is associated with a geometric phase switching is imprinted in the anisotropy pattern. We conclude that resistance anisotropy measurements can reveal signatures of SO textures and geometric phases in spin carriers.

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Section: Imprints Of Geometric Phase Switchingsupporting

confidence: 61%

Spin interferometry in anisotropic spin-orbit fields

et al. 2018

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“…For the potential application of the model, we note that the spin geometric phase driven by magnetic field textures has been exploited to manipulate electronic quantum states in semiconducting nanostructures [33,34]. Very recently, the role of the nonadiabatic A-A phase of the spin carriers subject to in-plane magnetic textures has also been investigated in relation to the topological transition in electronic spin transport [35,36]. The model proposed in the present manuscript offers a renewed way to address the relevant issue.…”

Section: Discussionmentioning

confidence: 91%

Exotic dynamical evolution in a secant-pulse-driven quantum system

Zhao

Cao

et al. 2018

Phys. Rev. A

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We investigate an explicitly time-dependent quantum system driven by a secant-pulse external field. By solving the Schrödinger equation exactly, we elucidate exotic properties of the system with respect to its dynamical evolution: on the one hand, the system is shown to be essentially nonadiabatic, which prohibits an adiabatic approximation for its dynamics; on the other hand, the loop evolution of the model can induce a geometric phase which, analogous to the Berry phase of the cyclic adiabatic evolution, is in direct proportion to the solid angle subtended by the path of the state vector. Moreover, we extend the model and show that the described properties coincide in a special family of secant-pulse-driven models.

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“…However, the spin dynamics is far from being adiabatic in the proximities of the critical line. Recent non-adiabatic treatments [31,32,49] have approached the problem in terms of effective Berry phases linked to the winding parity of spin textures. However, in Sec.…”

Section: Topological Imprints On Two-level Dynamicsmentioning

confidence: 99%

Geometric driving of two-level quantum systems

Ying

Gentile

Baltanás

et al. 2020

Phys. Rev. Research

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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 field 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 field curvature provides a non-standard and fresh access to the interrelation between field and spin trajectories, and the corresponding quantum phases acquired in non-adiabatic 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.

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Geometric vector potentials from nonadiabatic spin dynamics

Cited by 8 publications

References 17 publications

Spin interferometry in anisotropic spin-orbit fields

Spin interferometry in anisotropic spin-orbit fields

Exotic dynamical evolution in a secant-pulse-driven quantum system

Geometric driving of two-level quantum systems

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