2011/12/11 by M. I. Dykman, Dykman, M. I. · 1 citation
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Mechanical and Optical Resonators #Mesoscale and Nanoscale Physics (cond-mat.mes-hall) #Photonic and Optical Devices #Quantum Physics (quant-ph) #Statistical Mechanics (cond-mat.stat-mech)
paper · pdf · doi:10.48550/arxiv.1112.2407
openalex publication_date 2011/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This book chapter describes the dynamics of a modulated oscillator for resonant and nonresonant modulation. Two types of resonant modulation are considered: additive, with frequency close to the oscillator eigenfrequency, and parametric, with frequency close to twice the eigenfrequency. It is shown that relaxation of the oscillator is accompanied by quantum noise, which leads to a finite-width distribution over quantum states even for T=0. The quantum noise also leads to switching between coexisting vibrational states via transitions over the barrier in phase space. The switching mechanism, quantum activation, has no analog in thermal equilibrium systems. The switching rates display characteristic scaling near bifurcation points. The power and absorption/amplification spectra of modulated oscillators are studied, including their fine structure. Nonresonant modulation can lead to cooling, heating, or self-sustained vibrations of an oscillator. The relation between the previously discussed direct nonresonant excitation of the oscillator and the excitation mechanism studied in optomechanics is analyzed.