Abstract
The model of stochastic vacuum of quantum chromodynamics might be used for an alternative treatment of subhadronic processes. The possibility of considering the stochastic vacuum as an environment for colour charges is discussed. It is shown that the interaction of colour particles with the stochastic vacuum leads to the decoherence process and the loss of information on the initial quantum state of the particle, which gives a new perspective regarding the confinement of quarks phenomenon.The mentioned effect is demonstrated in cases of a single particle and a superposition of colour charges. Generalization on the multiparticle case is proposed.Quantum characteristics (purity and von Neumann entropy) are used to analyse the process of interaction. On the base of von Neumann entropy the measure of quantum information is proposed.
Highlights
Interactions of some quantum system with the environment can be effectively represented by additional stochastic terms in the Hamiltonian of the system
White objects can be obtained as colourless mixtures of states described by the diagonal density matrix as a result of evolution in the quantum chromodynamics (QCD) stochastic vacuum
In order to consider mixed states we introduce the colour density matrix, taking into account both colour particle and QCD stochastic vacuum: ρ(loop, γγ) =< |φ(γ) φ(γ)| >, (3)
Summary
Interactions of some quantum system with the environment can be effectively represented by additional stochastic terms in the Hamiltonian of the system. The density matrix of the system is obtained by averaging with respect to degrees of freedom of the environment. Interactions with the environment result in decoherence and loss of quantum superpositions. Information on the initial state of the quantum system is lost after sufficiently large time. Quantum decoherence is the loss of coherence or ordering of the phase angles between the components of a system in a quantum superposition. Decoherence occurs when a system interacts with its environment in a thermodynamically irreversible way. This process can be viewed as the loss of information on a system. Dissipation is a decohering process by which quantum states are changed due to entanglement with an external thermal bath
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