Quantum Brownian motion in a magnetic field: Transition from monotonic to oscillatory behaviour
| Autor: | Supurna Sinha, Urbashi Satpathi |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Physics Quantum Physics Statistical Mechanics (cond-mat.stat-mech) Condensed matter physics Cyclotron FOS: Physical sciences Monotonic function Dissipation Condensed Matter Physics 01 natural sciences Charged particle 010305 fluids & plasmas law.invention Magnetic field Mean squared displacement Classical mechanics law 0103 physical sciences Quantum Physics (quant-ph) 010306 general physics Quantum Condensed Matter - Statistical Mechanics Brownian motion |
| Zdroj: | Physica A: Statistical Mechanics and its Applications. 506:692-701 |
| ISSN: | 0378-4371 |
| DOI: | 10.1016/j.physa.2018.04.085 |
| Popis: | We investigate the Brownian motion of a charged particle in a magnetic field. We study this in the high temperature classical and low temperature quantum domains. In both domains, we observe a transition of the mean square displacement from a monotonic behaviour to a damped oscillatory behaviour as one increases the strength of the magnetic field. When the strength of the magnetic field is negligible, the mean square displacement grows linearly with time in the classical domain and logarithmically with time in the quantum domain. We notice that these features of the mean square displacement are robust and remain essentially the same for an Ohmic dissipation model and a single relaxation time model for the memory kernel. The predictions stemming from our analysis can be tested against experiments in trapped cold ions. |
| Databáze: | OpenAIRE |
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