Dark energy, cosmological constant and neutrino mixing

The today estimated value of dark energy can be achieved by the vacuum condensate induced by neutrino mixing phenomenon. Such a tiny value is recovered for a cut-off of the order of Planck scale and it is linked to the sub eV neutrino mass scale. Contributions to dark energy from auxiliary fields or mechanisms are not necessary in this approach.Comment: 10 pages, 2 figure

Understanding flavor mixing in Quantum Field Theory

We report on recent results showing that a rich non-perturbative vacuum structure is associated with flavor mixing in Quantum Field Theory. We treat explicitly the case of mixing among three generations of Dirac fermions. Exact oscillation formulas are presented exhibiting new features with respect to the usual ones. CP and T violation are also discussed.Comment: 9 pages. Presented at the "International Conference on Flavor Physics", Zhang-Jia-Jie, China, May 31 - June 6 200

Group theoretical aspects of neutrino mixing in Quantum Field Theory

By resorting to recent results on the Quantum Field Theory of mixed particles, we discuss some aspects of three flavor neutrino mixing. Particular emphasis is given to the related algebraic structures and their deformation in the presence of CP violation. A novel geometric phase related to CP violation is introduced.Comment: 10 pages, 2 figures. Presented at the XII International Baksan School "Particles and Cosmology", Baksan Valley, Kabardino-Balkaria, Russian Federation - April 21 - 26, 200

A new perspective in the dark energy puzzle from particle mixing phenomenon

We report on recent results on particle mixing and oscillations in quantum field theory. We discuss the role played in cosmology by the vacuum condensate induced by the neutrino mixing phenomenon. We show that it can contribute to the dark energy of the universe.Comment: 11 pages, to be published on the review book "Dark Energy-Current Advances and Ideas

Geometric phase and gauge theory structure in quantum computing

We discuss the presence of a geometrical phase in the evolution of a qubit state and its gauge structure. The time evolution operator is found to be the free energy operator, rather than the Hamiltonian operator.Comment: 5 pages, presented at Fifth International Workshop DICE2010: Space-Time-Matter - current issues in quantum mechanics and beyond, Castiglioncello (Tuscany), September 13-17, 201

Dark energy induced by neutrino mixing

The energy content of the vacuum condensate induced by the neutrino mixing is interpreted as dynamically evolving dark energy.Comment: 5 pages, Presented at 3nd International Workshop DICE 2006: Quantum Mechanics between Decoherence and Determinism: new aspects from particle physics to cosmology, September 11-15, 200

Probing quantum field theory particle mixing and dark-matter-like effects with Rydberg atoms

Abstract We analyze the oscillations of Rydberg atoms in the framework of quantum field theory and analyze the analogy with flavor mixing and oscillations. We reveal a non trivial vacuum energy which has the equation of state analogous to that of cold dark matter. This energy is formally similar to that expected for mixed neutrinos and affects the thermal capacity of the gas. Therefore, deflection of the thermal capacity of Rydberg atoms could prove the condensate structure of vacuum for mixing fermions and open new scenarios in the study of the dark components of the universe. We also derive new Rabi oscillation formulae which are, in principle, testable experimentally

Quantum Field Theory of boson mixing

We consider the quantum field theoretical formulation of boson field mixing and obtain the exact oscillation formula. This formula does not depend on arbitrary mass parameters. We show that the space for the mixed field states is unitarily inequivalent to the state space where the unmixed field operators are defined. We also study the structure of the currents and charges for the mixed fields

Flavor states of mixed neutrinos

By resorting to previous results on flavor mixing in Quantum Field Theory, we show how to consistently define flavor states of mixed neutrinos as eigenstates of the flavor charge operators.Comment: 4 pages, presented at 13th International Symposium on Particles, Strings and Cosmology, PASCOS-07, 2-7 July 2007, Imperial College Londo