Theory of fast optical spin rotation in a quantum dot based on geometric phases and trapped states

Abstract

A method is proposed for the optical rotation of the spin of an electron in a quantum dot using excited trion states to implement operations up to two orders of magnitude faster than those of most existing proposals. Key ingredients are the geometric phase induced by 2$\pi$ hyperbolic secant pulses, use of coherently trapped states and use of naturally dark states. Our proposal covers a wide variety of quantum dots by addressing different parameter regimes. In one case the treatment provides an exact solution to the three-level system. Numerical simulations with typical parameters for InAs self-assembled quantum dots, including their dissipative dynamics, give fidelities of the operations in excess of 99%.

References in corpus (4)

• Stimulated and spontaneous optical generation of electron spin coherence in charged GaAs quantum dots
• Optical control of spin coherence in singly charged (In,Ga)As/GaAs quantum dots
• Fast initialization of the spin state of an electron in a quantum dot in the Voigt configuration
• Optically-controlled single-qubit rotations in self-assembled InAs quantum dots

Cited by in corpus (20)

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• Two qubit conditional quantum logic operation in a single self-assembled quantum dot
• Complete control of a matter qubit using a single picosecond laser pulse
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• Theory of two-photon processes in quantum dots: coherent evolution and phonon-induced dephasing
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• Coherent spin rotations in open driven double quantum dots
• Fast Two-Qubit Gates in Semiconductor Quantum Dots using a Photonic Microcavity
• Optically induced spin gates in coupled quantum dots using the electron-hole exchange interaction
• All-optical implementation of a dynamic-decoupling protocol for hole spins in (In,Ga)As quantum dots
• Indirect spin dephasing via charge state decoherence in optical control schemes in quantum dots
• Nonadiabatic geometric rotation of electron spin in a quantum dot by 2Pi hyperbolic secant pulses
• Tuning the quantum tunneling and quantum information properties among the trion states in coupled quantum dots