# Open quantum system in external magnetic field within non-Markovian quantum Langevin approach

## TL;DR

This paper investigates the non-Markovian quantum dynamics of a charged particle in a magnetic field, deriving analytical expressions for key physical quantities and exploring phenomena like localization and diamagnetism in dissipative environments.

## Contribution

It provides new analytical results for non-Markovian quantum Langevin dynamics of charged particles in magnetic fields, including friction, diffusion, and magnetic moment expressions.

## Key findings

- Magnetic field influences dissipation and diffusion processes.
- Localization of a charged particle occurs in the studied regime.
- Orbital diamagnetism is analyzed within a dissipative quantum environment.

## Abstract

The non-Markovian dynamics of a charged particle linearly coupled to a neutral bosonic heat bath is investigated in an external uniform magnetic field. The analytical expressions for the time-dependent and asymptotic friction and diffusion coefficients, cyclotron frequencies, variances of the coordinate and momentum, and orbital magnetic moments are derived. The role of magnetic field in the dissipation and diffusion processes is illustrated by several examples in the low- and high-temperature regimes. The localization phenomenon for a charged particle is observed. The orbital diamagnetism of quantum system in a dissipative environment is studied. The quantization conditions are found for the angular momentum.