Physical Review E

Influence of external magnetic field on dynamics of open quantum systems

Sh. A. Kalandarov, Z. Kanokov, G. G. Adamian, N. V. Antonenko

Published Mar 23, 2007• 25 citations

Abstract

The influence of an external magnetic field on the non-Markovian dynamics of an open two-dimensional quantum system is investigated. The fluctuations of collective coordinate and momentum and transport coefficients are studied for a charged harmonic oscillator linearly coupled to a neutral bosonic heat bath. It is shown that the dissipation of collective energy slows down with increasing strength of the external magnetic field. The role of magnetic field in the diffusion processes is illustrated by several examples.

DOI: 10.1103/physreve.75.031115

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Physical Review E

Influence of external magnetic field on dynamics of open quantum systems

Sh. A. Kalandarov, Z. Kanokov, G. G. Adamian, N. V. Antonenko

Published Mar 23, 2007• 25 citations

Publisher

Abstract

DOI: 10.1103/physreve.75.031115

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arXiv:2106.07509Physical review. EDec 10, 202116 citations

{\mathcal{E}}_{k}

and

{\mathcal{E}}_{p}

denote the average kinetic and potential energies of individual thermostat oscillators. The net averaging is twofold; the first one is over the Gibbs canonical state for the thermostat, giving

{\mathcal{E}}_{k}

and

{\mathcal{E}}_{p}

, and the second one, denoted by $\ensuremath{\langle}\ifmmode\cdot\else\textperiodcentered\fi{}\ensuremath{\rangle}$, is over the frequencies $\ensuremath{\omega}$ of the bath oscillators which contribute to

{E}_{k}

and

{E}_{p}

according to probability distributions ${\mathcal{P}}_{k}(\ensuremath{\omega})$ and ${\mathcal{P}}_{p}(\ensuremath{\omega})$, respectively. The relationship of the present quantum version of the equipartition theorem with that of the fluctuation-dissipation theorem (within the linear-response theory framework) is also explored. Further, we investigate the influence of the external magnetic field and the effect of different dissipation processes through Gaussian decay and Drude and radiation bath spectral density functions on the typical properties of ${\mathcal{P}}_{k}(\ensuremath{\omega})$ and ${\mathcal{P}}_{p}(\ensuremath{\omega})$. Finally, the role of system-bath coupling strength and the memory effect is analyzed in the context of average kinetic and potential energies of the dissipative charged magneto-oscillator.