The dephasing time of spin-orbit qubits is limited by the coupling with electrical and charge noise. However, there may exist "dephasing sweet spots" where the qubit decouples (to first order) from the noise so that the dephasing time reaches a maximum. Here we discuss the nature of the dephasing sweet spots of a spin-orbit qubit electrically coupled to some fluctuator. We characterize the Zeeman energy E_\mathrmZ of this qubit by the tensor G such that E_\mathrmZ=\mu_B\sqrt\vecB^\mathrmTG\vecB (with \mu_B the Bohr magneton and \vecB the magnetic field), and its response to the fluctuator by the derivative G^\prime of G with respect to the fluctuating field. The geometrical nature of the sweet spots on the unit sphere describing the magnetic field orientation depends on the sign of the eigenvalues of G^\prime. We show that sweet spots usually draw lines on this sphere. We then discuss how to characterize the electrical susceptibility of a spin-orbit qubit with test modulations on the gates. We apply these considerations to a Ge/GeSi spin qubit heterostructure, and discuss the prospects for the engineering of sweet spots.
@article{mauro2024geometry,abbr={Phys. Rev. B},title={Geometry of the dephasing sweet spots of spin-orbit qubits},url={https://journals.aps.org/prb/abstract/10.1103/PhysRevB.109.155406},html={https://journals.aps.org/prb/abstract/10.1103/PhysRevB.109.155406},journal={Phys. Rev. B},doi={https://doi.org/10.1103/PhysRevB.109.155406},author={Mauro${*}$, Lorenzo and Rodríguez-Mena${*}$, Esteban A. and Bassi, Marion and Schmitt, Vivien and Niquet, Yann-Michel and equally., *Contributed},publisher={American Physical Society},year={2024},volume={109},issue={15},month=apr,arxiv={2312.09840},bibtex_show={true}}
arXiv
Unifying Floquet theory of longitudinal and dispersive readout
Alessandro Chessari; Esteban A. Rodríguez-Mena; José Carlos Abadillo-Uriel; Victor Champain; Simon Zihlmann; Romain Maurand; Yann-Michel Niquet; Michele Filippone
We devise a Floquet theory of longitudinal and dispersive readout in circuit QED. By studying qubits coupled to cavity photons and driven at the resonance frequency of the cavity ωr, we establish a universal connection between the qubit AC Stark shift and the longitudinal and dispersive coupling to photons. We find that the longitudinal coupling g∥ is controlled by the slope of the AC Stark shift as function of the driving strength Aq, while the dispersive shift χ depends on its curvature. The two quantities become proportional to each other in the weak drive limit (Aq→0). Our approach unifies the adiabatic limit (ωr→0) – where g∥ is generated by the static spectrum curvature (or quantum capacitance) – with the diabatic one, where the static spectrum plays no role. We derive analytical results supported by exact numerical simulations. We apply them to superconducting and spin-hybrid cQED systems, showcasing the flexibility of faster-than-dispersive longitudinal readout.
@article{chessari2024unifying,abbr={arXiv},title={Unifying Floquet theory of longitudinal and dispersive readout},url={https://arxiv.org/abs/2407.03417},html={https://arxiv.org/abs/2407.03417},journal={arXiv},doi={https://doi.org/10.48550/arXiv.2407.03417},author={Chessari, Alessandro and Rodríguez-Mena, Esteban A. and Abadillo-Uriel, José Carlos and Champain, Victor and Zihlmann, Simon and Maurand, Romain and Niquet, Yann-Michel and Filippone, Michele},keywords={Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, FOS: Physical sciences},publisher={arXiv},year={2024},month=jul,arxiv={2407.03417},bibtex_show={true}}
arXiv
Strain engineering in Ge/GeSi spin qubits heterostructures
Lorenzo Mauro; Esteban A. Rodríguez-Mena; Biel Martinez; Yann-Michel Niquet
The heavy-holes in Ge/GeSi heterostructures show highly anisotropic gyromagnetic response with in-plane g-factors g∗x,y≲0.3 and out-of-plane g-factor g∗z≳10. As a consequence, Rabi hot spots and dephasing sweet lines are extremely sharp and call for a careful alignment of the magnetic field in Ge spin qubit devices. We investigate how the g-factors can be engineered by strains. We show that uniaxial strains can raise in-plane g-factors above unity while leaving g∗z essentially constant. We discuss how the etching of an elongated mesa in a strained buffer can actually induce uniaxial (but inhomogeneous) strains in the heterostructure. This broadens the operational magnetic field range and enables spin manipulation by shuttling holes between neighboring dots with different g-factors.
@article{mauro2024strainengineering,abbr={arXiv},title={Strain engineering in Ge/GeSi spin qubits heterostructures},url={https://arxiv.org/abs/2407.19854},html={https://arxiv.org/abs/2407.19854},journal={arXiv},doi={https://doi.org/10.48550/arXiv.2407.19854},author={Mauro, Lorenzo and Rodríguez-Mena, Esteban A. and Martinez, Biel and Niquet, Yann-Michel},keywords={Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, FOS: Physical sciences},publisher={arXiv},year={2024},month=jul,arxiv={2407.19854},bibtex_show={true}}
2023
Phys. Rev. Lett.
Hole spin driving by strain-induced spin-orbit interactions
José Carlos Abadillo-Uriel; Esteban A. Rodríguez-Mena; Biel Martinez; Yann-Michel Niquet
Hole spins in semiconductor quantum dots can be efficiently manipulated with radio-frequency electric fields owing to the strong spin-orbit interactions in the valence bands. Here we show that the motion of the dot in inhomogeneous strain fields gives rise to linear Rashba spin-orbit interactions (with spatially dependent spin-orbit lengths) and \gt-factor modulations that allow for fast Rabi oscillations. Such inhomogeneous strains build up spontaneously in \YMNthe devices due to process and cool down stress. We discuss spin qubits in Ge/GeSi heterostructures as an illustration. We highlight that Rabi frequencies can be enhanced by one order of magnitude by shear strain gradients as small as 3\times 10^-6 nm^-1 within the dots. This underlines that spin in solids can be very sensitive to strains and opens the way for strain engineering in hole spin devices for quantum information and spintronics.
@article{strains_2022,abbr={Phys. Rev. Lett.},title={Hole spin driving by strain-induced spin-orbit interactions},url={https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.097002},html={https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.131.097002},journal={Phys. Rev. Lett.},doi={https://doi.org/10.1103/PhysRevLett.131.097002},author={Abadillo-Uriel, José Carlos and Rodríguez-Mena, Esteban A. and Martinez, Biel and Niquet, Yann-Michel},publisher={American Physical Society},year={2023},month=sep,volume={131},issue={9},pages={097002},arxiv={2212.03691},bibtex_show={true}}
Phys. Rev. B
Linear-in-momentum spin orbit interactions in planar Ge/GeSi heterostructures and spin qubits
Esteban A. Rodríguez-Mena; José Carlos Abadillo-Uriel; Gaëtan Veste; Biel Martinez; Jing Li; Benoît Sklénard; Yann-Michel Niquet
We investigate the existence of linear-in-momentum spin-orbit interactions in the valence band of Ge/GeSi heterostructures using an atomistic tight-binding method. We show that symmetry breaking at the Ge/GeSi interfaces gives rise to a linear Dresselhaus-type interaction for heavy-holes. This interaction results from the heavy-hole/light-hole mixings induced by the interfaces and can be captured by a suitable correction to the minimal Luttinger-Kohn, four bands kp Hamiltonian. It is dependent on the steepness of the Ge/GeSi interfaces, and is suppressed if interdiffusion is strong enough. Besides the Dresselhaus interaction, the Ge/GeSi interfaces also make a contribution to the in-plane gyromagnetic g-factors of the holes. The tight-binding calculations also highlight the existence of a small linear Rashba interaction resulting from the couplings between the heavy-hole/light-hole manifold and the conduction band enabled by the low structural symmetry of Ge/GeSi heterostructures. These interactions can be leveraged to drive the hole spin. The linear Dresselhaus interaction may, in particular, dominate the physics of the devices for out-of-plane magnetic fields. When the magnetic field lies in-plane, it is, however, usually far less efficient than the g-tensor modulation mechanisms arising from the motion of the dot in non-separable, inhomogeneous electric fields and strains.
@article{linearinmomentum_2023,abbr={Phys. Rev. B},title={Linear-in-momentum spin orbit interactions in planar Ge/GeSi heterostructures and spin qubits},url={https://link.aps.org/doi/10.1103/PhysRevB.108.205416},html={https://link.aps.org/doi/10.1103/PhysRevB.108.205416},journal={Phys. Rev. B},doi={10.1103/PhysRevB.108.205416},author={Rodríguez-Mena, Esteban A. and Abadillo-Uriel, José Carlos and Veste, Gaëtan and Martinez, Biel and Li, Jing and Sklénard, Benoît and Niquet, Yann-Michel},keywords={Mesoscale and Nanoscale Physics (cond-mat.mes-hall), FOS: Physical sciences, FOS: Physical sciences},publisher={American Physical Society},year={2023},month=nov,arxiv={2307.10007},bibtex_show={true}}
2022
Phys. Rev. B
Hole spin manipulation in inhomogeneous and nonseparable electric fields
Biel Martinez*; José Carlos Abadillo-Uriel*; Esteban A. Rodríguez-Mena*; Yann-Michel Niquet; *Contributed equally.
The usual models for electrical spin manipulation in semiconductor quantum dots assume that the confinement potential is separable in the three spatial dimensions and that the AC drive field is homogeneous. However, the electric field induced by the gates in quantum dot devices is not fully separable and displays significant inhomogeneities. Here, we address the electrical manipulation of hole spins in semiconductor heterostructures subject to inhomogeneous vertical electric fields and/or in-plane AC electric fields. We consider Ge quantum dots electrically confined in a Ge/GeSi quantum well as an illustration. We show that the lack of separability between the vertical and in-plane motions of the hole gives rise to an additional spin-orbit coupling mechanism (beyond the usual linear and cubic in momentum Rashba terms) that modulates the principal axes of the hole gyromagnetic g-matrix. This non-separability mechanism can be of the same order of magnitude as Rashba-type interactions, and enables spin manipulation when the magnetic field is applied in the plane of the heterostructure even when the dot is symmetric (disk-shaped). More generally, we show that Rabi oscillations in strongly patterned electric fields harness a variety of g-factor modulations. We discuss the implications for the design, modeling and understanding of hole spin qubit devices.
2021
Nano Lett.
Spin-Polarized Tunable Photocurrents
Matías Berdakin*; Esteban A. Rodríguez-Mena*; Luis E. F Foa Torres; *Contributed equally.
Harnessing the unique features of topological materials for the development of a new generation of topological based devices is a challenge of paramount importance. Using Floquet scattering theory combined with atomistic models we study the interplay among laser illumination, spin, and topology in a two-dimensional material with spin–orbit coupling. Starting from a topological phase, we show how laser illumination can selectively disrupt the topological edge states depending on their spin. This is manifested by the generation of pure spin photocurrents and spin-polarized charge photocurrents under linearly and circularly polarized laser illumination, respectively. Our results open a path for the generation and control of spin-polarized photocurrents.
@article{berdakin_spin-polarized_2021,abbr={Nano Lett.},title={Spin-{Polarized} {Tunable} {Photocurrents}},volume={21},issn={1530-6984},url={https://doi.org/10.1021/acs.nanolett.1c00420},html={https://doi.org/10.1021/acs.nanolett.1c00420},doi={10.1021/acs.nanolett.1c00420},number={7},urldate={2021-10-04},journal={Nano Letters},author={Berdakin${*}$, Matías and Rodríguez-Mena${*}$, Esteban A. and Foa Torres, Luis E. F and equally., ${*}$Contributed},month=apr,year={2021},pages={3177},arxiv={2010.11883},bibtex_show={true}}
2019
Phys. Rev. B
Topological signatures in quantum transport in anomalous Floquet-Anderson insulators
Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological states coexisting with fully localized bulk states, as in the case of the anomalous Floquet-Anderson insulator. Here, we show the fingerprints of this peculiar topological phase in the transport properties and their dependence on the disorder strength, geometrical configuration (two-terminal and multiterminal setups), and details of the driving protocol.
@article{rodriguez-mena_topological_2019,abbr={Phys. Rev. B},title={Topological signatures in quantum transport in anomalous {Floquet}-{Anderson} insulators},volume={100},url={https://link.aps.org/doi/10.1103/PhysRevB.100.195429},html={https://link.aps.org/doi/10.1103/PhysRevB.100.195429},doi={10.1103/PhysRevB.100.195429},optnumber={19},urldate={2021-10-03},journal={Physical Review B},author={Rodríguez-Mena, Esteban A. and Foa Torres, Luis E. F.},month=nov,year={2019},pages={195429},arxiv={1909.05957},bibtex_show={true}}