Abstract
The results of an interaction of a quantum state of quark with QCD vacuum, where the latter plays a role of environment, could be treated as decoherence. This may have direct implications for the confinement of quarks phenomenon.The general description and discussion of this process is given. Characteristics from quantum optics and information theory (purity, fidelity, von Neumann entropy) are proposed as means for numerical analysis of the process of interaction of quark colour state with stochastic vacuum.Problems of stability of colour particles motion and order-chaos transitions are briefly discussed. It is shown that there should be a connection between the properties of QCD stochastic vacuum and Higgs boson mass and self interaction coupling constant.The behaviour of squeezed and entangled quantum states, the interaction of colour superpositions and multiparticle states with stochastic QCD vacuum is described. It is shown that it leads to a fully mixed quantum state with equal probabilities for different colours. Decoherence rate is found to be proportional to the product of the distance between colour charges and the time during which this interaction has taken place. I.e. such an interaction seems to lead naturally to confinement of quarks.
Highlights
Interactions of some quantum system with the environment can be effectively represented by additional stochastic terms in the Hamiltonian of the system
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)
Left side of the equation is the inverse characteristic time of decoherence proportional to QCD string tension and distance R. It can be inferred from (4) and (11) that the stronger particle-antiparticle pair is coupled by QCD string or the larger is the distance between particle and antiparticle, the quicker the initial state tends to white mixture as a result of interaction with the QCD stochastic vacuum
Summary
Interactions of some quantum system with the environment can be effectively represented by additional stochastic terms in the Hamiltonian of the system. In this case the averaging with respect to stochastic terms - degrees of freedom of environment - yields the density matrix of the system. The interactions with the environment result in decoherence and relaxation of quantum superpositions. Decoherence occurs when a system interacts with its environment in a thermodynamically irreversible way. It can be viewed as the loss of information from a system due to the environment (often modeled as a heat bath). Each relaxation process can be characterized by a relaxation time τ
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