Quantum Stirring in low dimensional devices

Abstract

A circulating current can be induced in the Fermi sea by displacing a scatterer, or more generally by integrating a quantum pump into a closed circuit. The induced current may have either the same or the opposite sense with respect to the "pushing" direction of the pump. We work out explicit expressions for the associated geometric conductance using the Kubo-Dirac monopoles picture, and illuminate the connection with the theory of adiabatic passage in multiple path geometry.

6 pages, 5 figures, improved version

References in corpus (14)

• Scattering approach to parametric pumping
• Full counting statistics of a general quantum mechanical variable
• Geometry, Statistics and Asymptotics of Quantum Pumps
• Dynamic response of isolated Aharonov-Bohm rings coupled to an electromagnetic resonator
• Fluctuation Superconductivity in Mesoscopic Aluminum Rings
• Measurement scheme of the Berry phase in superconducting circuits
• Quantum pumping in closed systems, adiabatic transport, and the Kubo formula
• Classical and quantum pumping in closed systems
• Quantum pumping: Coherent Rings versus Open Conductors
• Quantum pumping: The charge transported due to a translation of a scatterer
• Quantum stirring of particles in closed devices
• Counting statistics in multiple path geometries and the fluctuations of the integrated current in a quantum stirring device
• Operating a quantum pump in a closed circuit
• Restricted quantum-classical correspondence and counting statistics for a coherent transition

Cited by in corpus (6)

• Quantum Paddlewheel with Ultracold Atoms in Waveguides
• Quantum transport and counting statistics in closed systems
• Quantum dynamics and transport in a double well system
• Multiple path adiabatic crossing in a 3 site ring
• Non-adiabatic pumping in an oscillating-piston model
• Multiple path transport in quantum networks