Open AccessDecoherence of quantum Brownian particle trapped in a penning potential in a non-commutative space
Author(s) -
Martin Tchoffo,
Azangue Koumetio Armel,
Yiande Deuto Germain,
Tene Alain Giresse,
Fai Lukong Cornelius
Publication year - 2019
Publication title -
journal of physics communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.407
H-Index - 17
ISSN - 2399-6528
DOI - 10.1088/2399-6528/ab2b37
Subject(s) - quantum decoherence , brownian motion , physics , commutative property , penning trap , harmonic oscillator , quantum , quantum system , quantum mechanics , classical mechanics , particle (ecology) , quantum electrodynamics , electron , mathematics , oceanography , pure mathematics , geology
In this paper, the influence of non-commutativity on quantum systems interacting with the environment in the Penning trap potential is studied. The considered system is a Brownian particle expressed in non-commuting spatial coordinates coupled to a set of harmonic oscillators (environment). The equilibrium state of the total system has been evaluated using the fluctuation dissipation theorem. The effective parameters of the system are evaluated and compared with those of the system in commutative space. We found that non-commutativity effects give rise to an increase in decoherence in the system, and negative heat capacity confirms the presence of self-gravitation effects induced by non-commutativity.