2021/05/31 by Suraka Bhattacharjee, Urbashi Satpathi, Supurna Sinha · 10 citations
Computer Science · Mathematics · Physics and Astronomy · #Autocorrelation #Brownian motion #Classical mechanics #Condensed matter physics #Context (archaeology) #Langevin dynamics #Langevin equation #Magnetic field #Mathematics #Physics #Position (finance) #Quantum Information and Cryptography #Quantum electrodynamics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Statistical physics #cond-mat.stat-mech #stochastic dynamics and bifurcation
paper · pdf · doi:10.1007/s12043-022-02295-1
published in Pramana 96(1) · 11 pages, 15 figures
arxiv created 2021/11/25 · openalex publication_date 2022/03/01 · arxiv updated 2022/03/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We use the Quantum Langevin equation as a starting point to study the response function, the position-velocity correlation function and the velocity autocorrelation function of a charged Quantum Brownian particle in the presence of a magnetic field and linearly coupled to a heat bath via position coordinate. We study two bath models -- the Ohmic bath model and the Drude bath model -- and make a detailed comparison in various time-temperature regimes. For both bath models there is a competition between the cyclotron frequency and the viscous damping rate giving rise to a transition from an oscillatory to a monotonic behaviour as the damping rate is increased. In the zero point fluctuation dominated low temperature regime, non-trivial noise correlations lead to some interesting features in this transition. We study the role of the memory time scale which comes into play in the Drude model and study the effect of this additional time scale. We discuss the experimental implications of our analysis in the context of experiments in cold ions.