### 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.

Original language | English |
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Pages (from-to) | 957-973 |

Number of pages | 17 |

Journal | Physica A: Statistical Mechanics and its Applications |

Volume | 514 |

DOIs | |

Publication status | Published - 15 Jan 2019 |

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### Keywords

- Cyclotron frequency
- Fluctuations
- Friction and diffusion coefficients
- Friction coefficients
- Langevin formalism
- Magnetic field
- Non-Markovian dynamics
- Open quantum systems

### ASJC Scopus subject areas

- Statistics and Probability
- Condensed Matter Physics

### Cite this

*Physica A: Statistical Mechanics and its Applications*,

*514*, 957-973. https://doi.org/10.1016/j.physa.2018.09.071

**Open quantum system in external magnetic field within non-Markovian quantum Langevin approach.** / Abdurakhmanov, I. B.; Kanokov, Z.; Adamian, G. G.; Antonenko, N. V.

Research output: Contribution to journal › Article

*Physica A: Statistical Mechanics and its Applications*, vol. 514, pp. 957-973. https://doi.org/10.1016/j.physa.2018.09.071

}

TY - JOUR

T1 - Open quantum system in external magnetic field within non-Markovian quantum Langevin approach

AU - Abdurakhmanov, I. B.

AU - Kanokov, Z.

AU - Adamian, G. G.

AU - Antonenko, N. V.

PY - 2019/1/15

Y1 - 2019/1/15

N2 - 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.

AB - 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.

KW - Cyclotron frequency

KW - Fluctuations

KW - Friction and diffusion coefficients

KW - Friction coefficients

KW - Langevin formalism

KW - Magnetic field

KW - Non-Markovian dynamics

KW - Open quantum systems

UR - http://www.scopus.com/inward/record.url?scp=85054373902&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85054373902&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2018.09.071

DO - 10.1016/j.physa.2018.09.071

M3 - Article

VL - 514

SP - 957

EP - 973

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

SN - 0378-4371

ER -