Open quantum dynamics of Josephson charge pumps

Abstract

We investigate the macroscopic dynamics of Josephson charge pumps in the light of Alicki et al.'s theoretical description of the Josephson junction as an open quantum system described by a Markovian master equation. Once the electrostatic interaction between the terminals is taken into account via nonlinear capacitive terms in the Hamiltonian, we find that the resulting description of pumping is physically reasonable and in good qualitative agreement with experimental observations. We comment on how this approach relates to other theoretical treatments of quantum pumps based on time-dependent potentials or scattering amplitudes. We also highlight the significance of our results in the broader context of the dynamics of charge pumping by active systems.

to appear in "New Journal of Physics"

References in corpus (23)

• Scattering approach to parametric pumping
• Self-oscillation
• Towards a quantum representation of the ampere using single electron pumps
• Hybrid single-electron transistor as a source of quantized electric current
• Mesoscopic mechanism of adiabatic charge transport
• A Josephson Quantum Electron Pump
• Andreev Bound States and Their Signatures
• Robust single-parameter quantized charge pumping
• Self-oscillating pump in a topological dissipative atom-cavity system
• Quantized charge transport through a static quantum dot using a surface acoustic wave
• Charge pumping in carbon nanotube quantum dots
• Nanoampere pumping of Cooper pairs
• Quantized charge pumping through a quantum dot by surface acoustic waves
• Electron Counting Capacitance Standard with an improved five-junction R-pump
• Quantized current of a hybrid single-electron transistor with superconducting leads and a normal-metal island
• A thermodynamic cycle for the solar cell
• Evidence of Cooper pair pumping with combined flux and voltage control
• Dynamical theory for the battery's electromotive force
• Turnstile behaviour of the Cooper-pair pump
• The Josephson junction as a quantum engine
• Physical properties of the Hall current
• The problem of engines in statistical physics
• Thouless pumping in Josephson junction arrays