Generation of spin-dependent coherent states in a quantum wire

Abstract

We propose an all-electrically controlled nanodevice - a gated semiconductor nanowire - capable of generating a coherent state of a single electron trapped in a harmonic oscillator or superposition of such coherent states - the Schrödinger cat state. In the proposed scheme, electron in the ground state of the harmonic potential is driven by resonantly oscillating Rashba spin-orbit coupling. This allows for the creation of the Schrödinger cat state with superposition amplitudes depending on the initial electron spin state. Such a method can be used for initialization of a single spin qubit defined in a coherent state. The harmonic confinement potential along the InSb nanowire and the modulation of the Rashba spin-orbit coupling is obtained by proper gating. The results are supported by realistic three-dimensional time-dependent self consistent Poisson-Schrödinger calculations.

6 pages, 4 figures

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Cited by in corpus (10)

• Inverse engineering for fast transport and spin control of spin-orbit-coupled Bose-Einstein condensates in moving harmonic traps
• Generation of Schrödinger's cat states in a planar semiconductor heterostructure
• Exact analysis of gate noise effects on non-adiabatic transformations of spin-orbit qubits
• Exact spin-orbit qubit manipulation
• Thermal effects on a nonadiabatic spin-flip protocol of spin-orbit qubits
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Fast transport and splitting of spin-orbit-coupled spin-1 Bose-Einstein Condensates
• Interacting holes in a gated WSe${}_2$ quantum channel: valley correlations and zigzag Wigner crystal
• Effects of noise on fidelity in spin-orbit qubit transformations
• All-electric single electron spin-to-charge conversion