Multiphoton Processes in Driven Mesoscopic Systems

Abstract

We study the statistics of multi-photon absorption/emission processes in a mesoscopic ring threaded by an harmonic time-dependent flux $\Phi (t)$. For this sake, we demonstrate a useful analogy between the Keldysh quantum kinetic equation for the electrons distribution function and a Continuous Time Random Walk in energy space with corrections due to interference effects. Studying the probability to absorb/emit $n$ quanta $\hslash \omega$ per scattering event, we explore the crossover between ultra-quantum/low-intensity limit and quasi-classical/high-intensity regime, and the role of multiphoton processes in driving it.

6 pages, 5 figures, extended version

References in corpus (15)

• Scattering approach to parametric pumping
• Mesoscopic mechanism of adiabatic charge transport
• Charge Pumping and Photovoltaic effect in Open Quantum Dots
• Coherent Quasiclassical Dynamics of a Persistent Current Qubit
• On the phase of oscillatory microwave photoresistance and zero-resistance states
• Multiphoton processes in microwave photoresistance of 2D electron system
• Dynamic localization in quantum dots: analytical theory
• Parametric control of a superconducting flux qubit
• Quantum-Mechanical Non-Perturbative Response of Driven Chaotic Mesoscopic Systems
• Limits of the dynamical approach to non-linear response of mesoscopic systems
• Conductance Fluctuations of Open Quantum Dots under Microwave Radiation
• Quantum chaotic scattering in time-dependent external fields: random matrix approach
• Quantum mechanics with a time-dependent random unitary Hamiltonian: A perturbative study of the nonlinear Keldysh sigma-model
• Quantum correction to the Kubo formula in closed mesoscopic systems
• Photovoltaic Current Response of Mesoscopic Conductors to Quantized Cavity Modes

Cited by in corpus (7)

• Quantum Photovoltaic Effect in Double Quantum Dots
• Multifloquet to single electronic channel transition in the transport properties of a resistive 1D driven disordered ring
• The mesoscopic conductance of disordered rings, its random matrix theory, and the generalized variable range hopping picture
• Quantum response of weakly chaotic systems
• "Weak Quantum Chaos" and its resistor network modeling
• Energy absorption by "sparse" systems: beyond linear response theory
• Quantum transport phenomena induced by time-dependent fields