ABSTRACT We realize the deformation of the Weyl–Heisenberg algebra in terms of finite difference operators within the Fock–Bargmann representation. This allows us to incorporate in a unified q-algebra structure, the notions of squeezing...
moreABSTRACT We realize the deformation of the Weyl–Heisenberg algebra in terms of finite difference operators within the Fock–Bargmann representation. This allows us to incorporate in a unified q-algebra structure, the notions of squeezing and lattice quantum systems resorting to the properties of theta functions.
ABSTRACT We introduce a set of phenomenological relations connecting characteristic quantities of large scale cosmological structures to the fundamental quantum scales of nucleons. The relations lead to predictions on the relevant...
moreABSTRACT We introduce a set of phenomenological relations connecting characteristic quantities of large scale cosmological structures to the fundamental quantum scales of nucleons. The relations lead to predictions on the relevant mechanical and thermodynamical properties of galaxies, which are in excellent agreement with the experimentally observed data.
ABSTRACT Introducing a description of the collective transverse dynamics of charged (proton) beams in the stability regime by suitable classical stochastic fluctuations, we show that the transition probabilities associated to Nelson...
moreABSTRACT Introducing a description of the collective transverse dynamics of charged (proton) beams in the stability regime by suitable classical stochastic fluctuations, we show that the transition probabilities associated to Nelson processes can be exploited to model evolutions suitable to control the transverse beam dynamics. In particular we show how to control, in the quadrupole approximation to the beam-field interaction, both the focusing and the transverse oscillations of the beam, either together or independently.
ABSTRACT Tools of quantum information theory can be exploited to provide a convenient description of the phenomena of particle mixing and flavor oscillations in terms of entanglement, a fundamental quantum resource. We extend such a...
moreABSTRACT Tools of quantum information theory can be exploited to provide a convenient description of the phenomena of particle mixing and flavor oscillations in terms of entanglement, a fundamental quantum resource. We extend such a picture to the domain of quantum field theory where, due to the nontrivial nature of flavor neutrino states, the presence of antiparticles provides additional contributions to flavor entanglement. We use a suitable entanglement measure, the concurrence, that allows extracting the two-mode (flavor) entanglement from the full multimode, multiparticle flavor neutrino states.
In this paper we deduce, by general hypotheses, phenomenological relations which allow to compute in order of magnitude, but with sensible accuracy, the sizes of all the observed astrophysical and cosmological structures in terms of two...
moreIn this paper we deduce, by general hypotheses, phenomenological relations which allow to compute in order of magnitude, but with sensible accuracy, the sizes of all the observed astrophysical and cosmological structures in terms of two microscopic quantities (the ...
In this paper we study the properties of Multiphoton Squeezed States (MpSS) obtained by homodyne nonlinear canonical transformations (HNCT), in which the nonlinear term is a cubic power of the second field quadrature P. In particular, we...
moreIn this paper we study the properties of Multiphoton Squeezed States (MpSS) obtained by homodyne nonlinear canonical transformations (HNCT), in which the nonlinear term is a cubic power of the second field quadrature P. In particular, we analyze the Hamiltonian ...
ABSTRACT We investigate the scaling of the entanglement spectrum and of the R\'enyi block entropies and determine its universal aspects in the ground state of critical and noncritical one-dimensional quantum spin models. In all...
moreABSTRACT We investigate the scaling of the entanglement spectrum and of the R\'enyi block entropies and determine its universal aspects in the ground state of critical and noncritical one-dimensional quantum spin models. In all cases, the scaling exhibits an oscillatory behavior that terminates at the factorization point and whose frequency is universal. Parity effects in the scaling of the R\'enyi entropies for gapless models at zero field are thus shown to be a particular case of such universal behavior. Likewise, the absence of oscillations for the Ising chain in transverse field is due to the vanishing value of the factorizing field for this particular model. In general, the transition occurring at the factorizing field between two different scaling regimes of the entanglement spectrum corresponds to a quantum transition to the formation of finite-range, ordered structures of quasi-dimers, quasi-trimers, and quasi-polymers. This entanglement-driven transition is superimposed to and independent of the long-range magnetic order in the broken symmetry phase. Therefore, it conforms to recent generalizations that identify and classify the quantum phases of matter according to the structure of ground-state entanglement patterns. We characterize this form of quantum order by a global order parameter of entanglement defined as the integral, over blocks of all lengths, of the R\'enyi entropy of infinite order. Equivalently, it can be defined as the integral of the bipartite single-copy or geometric entanglement. The global entanglement order parameter remains always finite at fields below the factorization point and vanishes identically above it.
Non-Gaussian quantum states, endowed with properly enhanced nonclassical properties, may constitute powerful resources for the efficient implementation of quantum information, communication, computation, and metrology tasks [1–13]....
moreNon-Gaussian quantum states, endowed with properly enhanced nonclassical properties, may constitute powerful resources for the efficient implementation of quantum information, communication, computation, and metrology tasks [1–13]. Indeed, it has been shown that, at fixed first and second moments, Gaussian states minimize various nonclassical properties [14, 15]. Therefore, many theoretical and experimental efforts have been made toward engineering and controlling highly nonclassical, non-Gaussian states of the radiation field ...
ABSTRACT Neutrino oscillations can be equivalently described in terms of (dynamical) entanglement of neutrino flavor modes. We review previous results derived in the context of quantum mechanics and extend them to the quantum field theory...
moreABSTRACT Neutrino oscillations can be equivalently described in terms of (dynamical) entanglement of neutrino flavor modes. We review previous results derived in the context of quantum mechanics and extend them to the quantum field theory framework, were a rich structure of quantum correlations appears.
Abstract: In the framework of the stochastic formulation of quantum mechanics we derive non-stationary states for a class of time-dependent potentials. The wave packets follow a classical motion with constant dispersion. The new states...
moreAbstract: In the framework of the stochastic formulation of quantum mechanics we derive non-stationary states for a class of time-dependent potentials. The wave packets follow a classical motion with constant dispersion. The new states define a possible extension of ...
