On geometric potentials in quantum-electromechanical circuits

2003/08/04 by A. V. Chaplik, Alexander V. Chaplik, Robert H. Blick · 3 citations
Physics and Astronomy · #Force Microscopy Techniques and Applications #Mechanical and Optical Resonators #Quantum and electron transport phenomena #cond-mat.mes-hall

paper · pdf · doi:10.1088/1367-2630/6/1/033

arxiv created 2003/08/04 · openalex publication_date 2004/03/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

In this paper, we demonstrate the formation of confinement potentials in suspended nanostructures induced by the geometry of the devices. We then propose a set-up to measure the resulting geometric-phase change in electronic wave functions in these mechanical nanostructures. The device consists of a suspended loop through which a phase-coherent current is driven. A combination of two and more geometrically induced potentials can be applied for creating mechanical-quantum-bit states.

Citations

• Quantum mechanics with constraints
• Quantal phase factors accompanying adiabatic changes

Cited by

• Tuning the electrical resistivity of semiconductor thin films by nanoscale corrugation
• Quantum mechanics of a spin-orbit coupled electron constrained to a space curve
• Quantum motion on a torus as a submanifold problem in a generalized Dirac’s theory of second-class constraints