Quantum correction to the Kubo formula in closed mesoscopic systems

Abstract

We study the energy dissipation rate in a mesoscopic system described by the parametrically-driven random-matrix Hamiltonian H[ϕ(t)] for the case of linear bias ϕ=vt. Evolution of the field ϕ(t) causes interlevel transitions leading to energy pumping, and also smears the discrete spectrum of the Hamiltonian. For sufficiently fast perturbation this smearing exceeds the mean level spacing and the dissipation rate is given by the Kubo formula. We calculate the quantum correction to the Kubo result that reveals the original discreteness of the energy spectrum. The first correction to the system viscosity scales proportional to v^{-2/3} in the orthogonal case and vanishes in the unitary case.

4 pages, 3 eps figures, REVTeX4

References in corpus (3)

• Spin-Orbit Coupling, Antilocalization, and Parallel Magnetic Fields in Quantum Dots
• Dynamic localization in quantum dots: analytical theory
• Vortex viscosity in the moderately clean limit of layered superconductors

Cited by in corpus (6)

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• Universal Dephasing Mechanism of Many-Body Quantum Chaos
• Multiphoton Processes in Driven Mesoscopic Systems
• Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
• Energy relaxation rate and its mesoscopic fluctuations in quantum dots
• Dyson-Maleev representation of nonlinear sigma-models