Quantum Langevin dynamics of a charged particle in a magnetic field: Response function, position–velocity and velocity autocorrelation functions

Long Time Tails in Quantum Brownian Motion of a charged particle in a magnetic field

“…For the Drude Model, the real and imaginary parts 1 of the memory Kernel are respectively given by [15]:…”

“…Using the above equation in Eq. ( 5) [14,15] we obtain the imaginary part ImR x (ω) of the response function denoted by R x (ω):…”

“…In contrast to earlier work [1,2] in which the authors address the issue of decay of temporal correlations of a neutral quantum Brownian particle, in this paper we address the appearance of long time tails in the temporal decay of correlations in the dynamics of a charged quantum Brownian particle in a harmonic potential in the presence of a magnetic field via the quantum Langevin equation [13][14][15]. Moreover, our study pertains to the particle coupled to Ohmic and Drude baths through position coordinate coupling.…”

“…In [14] the growth of the mean-square displacement of a charged Brownian particle in a magnetic field was analysed via the Quantum Langevin Equation of a charged particle in a magnetic field. More recently we had used the same framework for studying the Response function, position-velocity and velocity autocorrelation functions of such a charged Brownian particle [15]. Our focus in [15] was on a transition from an oscillatory to a monotonic behaviour as a result of a competition between the cyclotron frequency and the viscous damping rate.…”

“…More recently we had used the same framework for studying the Response function, position-velocity and velocity autocorrelation functions of such a charged Brownian particle [15]. Our focus in [15] was on a transition from an oscillatory to a monotonic behaviour as a result of a competition between the cyclotron frequency and the viscous damping rate.…”