Coherent manipulation of dipolar coupled spins in an anisotropic environment

Abstract

We study coherent dynamics in a system of dipolar coupled spin qubits diluted in solid and subjected to a driving microwave field. In the case of rare earth ions, anisotropic crystal background results in anisotropic g tensor and thus modifies the dipolar coupling. We develop a microscopic theory of spin relaxation in transient regime for the frequently encountered case of axially symmetric crystal field. The calculated decoherence rate is nonlinear in Rabi frequency. We show that the direction of static magnetic field that corresponds to the highest spin g-factor is preferable in order to obtain higher number of coherent qubit operations. The results of calculations are in excellent agreement with our experimental data on Rabi oscillations recorded for a series of CaWO4 crystals with different concentrations of Nd3+ ions.

arXiv comment16 pages, 9 figures

References in corpus (8)

• Quantum Computation with Quantum Dots
• Will spin-relaxation times in molecular magnets permit quantum information processing?
• Rare-earth solid-state qubits
• Direct Observation of Quantum Coherence in Single-Molecule Magnets
• Coherent manipulation of electron spins up to ambient temperatures in Cr${}^{5+}$(S=1/2) doped K${}_3$NbO${}_8$
• Spin-Orbit Qubits of Rare-Earth-Metal Ions in Axially Symmetric Crystal Fields
• Decoherence window and electron-nuclear cross-relaxation in the molecular magnet V 15
• Decay of Rabi oscillations induced by magnetic dipole interactions in diluted paramagnetic solids

Cited by in corpus (4)

• Microwave multimode memory with an Er${}^{3+}$:Y${}_2$SiO${}_5$ spin ensemble
• Dynamical decoupling of spin ensembles with strong anisotropic interactions
• Coherent spin dynamics in gadolinium-doped CaWO4 crystal
• Suppression of electron spin decoherence in Rabi oscillations induced by an inhomogeneous microwave field