Papers by Marcelo Marchiolli
Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent tw... more Generalized uncertainty principle and breakdown of the spacetime continuum certainly represent two important results derived of various approaches related to quantum gravity and black hole physics near the well-known Planck scale. The discreteness of space suggests, in particular, that all measurable lengths are quantized in units of a fundamental scale (in this case, the Planck length). Here, we propose a
Starting from the extended Cahill-Glauber formalism for finite-dimensional spaces we derive two i... more Starting from the extended Cahill-Glauber formalism for finite-dimensional spaces we derive two important classes of discrete squeezed states in an N2-dimensional phase space that closely resemble their continuous counterparts. Such discrete extensions are then applied to the context of quantum tomography and quantum information theory with the aim of establishing an initial study on the interference effects between discrete variables
Journal of Physics A: Mathematical and Theoretical, 2015
International Journal of Quantum Information, 2015
Physica A: Statistical Mechanics and its Applications, 2004
We show that the projection operator mod pq;yei phi )(yei phi ;pq mod , where mod pq;yei phi ) is... more We show that the projection operator mod pq;yei phi )(yei phi ;pq mod , where mod pq;yei phi ) is a squeezed state, obeys a partial differential equation in which the squeeze parameter y plays the role of time. It follows that related functions, such as the probability distribution functions and the Wigner function are solutions of this equation. This
Journal of Russian Laser Research, 2011
ABSTRACT In recent years, an approach to discrete quantum phase spaces which comprehends all the ... more ABSTRACT In recent years, an approach to discrete quantum phase spaces which comprehends all the main quasiprobability distributions known has been developed. It is the research that started with the pioneering work of Galetti and Piza, where the idea of operator bases constructed of discrete Fourier transforms of unitary displacement operators was first introduced. Subsequently, the discrete coherent states were introduced, and finally, the s-parametrized distributions, that include the Wigner, Husimi, and Glauber–Sudarshan distribution functions as particular cases. In the present work, we adapt its formulation to encompass some additional discrete symmetries, achieving an elegant yet physically sound formalism. Keywordsfinite-dimensional quantum systems–coherent states–Wigner function–Husimi function–Glauber–Sudarshan distribution
... B Baseia§, VS Bagnato¶, MA Marchiolli + and MC de Oliveira∗ ... Abstract. Previous papers... more ... B Baseia§, VS Bagnato¶, MA Marchiolli + and MC de Oliveira∗ ... Abstract. Previous papers in recent literature for particle trapping by oscillating fields employ a model by Glauber and a time-dependent canonical transformation to investigate the occurrence of squeezing and ...
Physica A-statistical Mechanics and Its Applications, 2001
We describe properties of a quantum system prepared in a superposition of N displaced number stat... more We describe properties of a quantum system prepared in a superposition of N displaced number states, with emphasis on the interference effects among the state components. Explicit expressions for wavefunctions in the coordinate and Fock-state representations, photon number distribution, variances and quantum correlation coefficient of the quadrature operators, and quasiprobability distributions are calculated in detail. Nonclassical effects due to such
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Papers by Marcelo Marchiolli