Spectrum of an Oscillator with Jumping Frequency and the Interference of Partial Susceptibilities

2010/06/11 by M. I. Dykman, Michael Khasin, M. Khasin +4 · 38 citations
Engineering · Physics and Astronomy · #Computer science #Dephasing #Force Microscopy Techniques and Applications #Interference (communication) #Jumping #Mechanical and Optical Resonators #Optoelectronics #Photonic and Optical Devices #Physics #Quantum mechanics #Resonator #Simple (philosophy) #Spectrum (functional analysis) #Statistical physics #Telecommunications #cond-mat.mes-hall #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevlett.105.230601

published in Physical Review Letters 105(23), 230601 (American Physical Society)

arxiv created 2010/06/11 · openalex publication_date 2010/12/01 · arxiv updated 2015/05/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study an underdamped oscillator with random frequency jumps. We describe the oscillator spectrum in terms of coupled susceptibilities for different-frequency states. Depending on the parameters, the spectrum has a fine structure or displays a single asymmetric peak. For nanomechanical resonators with a fluctuating number of attached molecules, it is found in a simple analytical form. The results bear on dephasing in various types of systems with jumping frequency.

Citations

• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Nuclear magnetic resonance imaging with 90-nm resolution
• Using a qubit to measure photon-number statistics of a driven thermal oscillator
• Ultimate limits to inertial mass sensing based upon nanoelectromechanical systems

Cited by

• Diffusion-induced dissipation and mode coupling in nanomechanical resonators