Rings and boxes in dissipative environments

Abstract

We study a particle on a ring in presence of a dissipative Caldeira-Leggett environment and derive its response to a DC field. We find, through a 2-loop renormalization group analysis, that a large dissipation parameter $\eta$ flows to a fixed point ${\eta }_R={\eta }_c=\hslash /2\pi$. We also reexamine the mapping of this problem to that of the Coulomb box and show that the relaxation resistance, of recent interest, is quantized for large $\eta$. For finite $\eta >{\eta }_c$ we find that a certain average of the relaxation resistance is quantized. We propose a box experiment to measure a quantized noise.

5 pages, 1 figure Minor changes in the text, a few references added

References in corpus (3)

• Interference in presence of Dissipation
• Particle renormalizations in presence of dissipative environments
• Comment on ``Topological Oscillations of the Magnetoconductance in Disordered GaAs Layers''

Cited by in corpus (17)

• A Coherent RC Circuit
• Many-Body Quantum Electrodynamics Networks: Non-Equilibrium Condensed Matter Physics with Light
• Wigner time delay and related concepts -- Application to transport in coherent conductors
• Driven dissipative dynamics and topology of quantum impurity systems
• Tunable Hybrid Quantum Electrodynamics from Non-Linear Electron Transport
• Giant Charge Relaxation Resistance in the Anderson Model
• Quantum Dynamics of the Driven and Dissipative Rabi Model
• Capacitance and charge relaxation resistance of chaotic cavities - Joint distribution of two linear statistics in the Laguerre ensemble of random matrices
• Fermi liquid approach to the quantum RC circuit: renormalization-group analysis of the Anderson and Coulomb blockade models
• Strongly correlated dynamics in multichannel quantum RC circuits
• Strongly-Correlated Thermoelectric Transport beyond Linear Response
• Probing dynamics of Majorana fermions in quantum impurity systems
• Admittance of the SU(2) and SU(4) Anderson quantum RC circuits
• Charge Resistance in a Majorana RC circuit
• Pumping charge with ac magnetic fluxes and the dynamical breakdown of Onsager symmetry
• Rings and Coulomb boxes in dissipative environments
• Zero temperature geometric spin dephasing on a ring in presence of an Ohmic environment