1996/11/25 by M. Rigo, G. Alber, F. Mota-Furtado +2 · 2 citations
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Spectroscopy and Quantum Chemical Studies #quant-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreva.55.1665
7 pages in RevTeX + 6 figures (postscript). To appear in Physical Review A
arxiv created 1996/11/25 · openalex publication_date 1997/03/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider a driven damped anharmonic oscillator that classically leads to a bistable steady state and to hysteresis. The quantum counterpart for this system has an exact analytical solution in the steady state that does not display any bistability or hysteresis. We use quantum-state diffusion theory to describe this system and to provide a new perspective on the lack of hysteresis in the quantum regime so as to study in detail the quantum to classical transition. The analysis is also relevant to measurements of a single periodically driven electron in a Penning trap where hysteresis has been observed.