30 citations · 75 across the 21 of their papers we have counts for
21 papers
A class of positive Fox H-functions
Filippo Giraldi
The Fox -function is a special function which is defined via the Mellin-Barnes integrals and produces, as particular cases, Wright generalized hypergeometric functions, MacRober…
Truncated generalized coherent states
Filippo Giraldi, Francesco Mainardi
A generalization of the canonical coherent states of a quantum harmonic oscillator has been performed by requiring the conditions of normalizability, continuity in the label and re…
Short-time coherence of a qubit and measurement apparatus
Filippo Giraldi
The effects of the measurement apparatus on quantum coherence are studied by considering a purely dephasing model of a qubit. The initial state is prepared from a thermal state of…
The Riemann hypothesis via the Mellin transform, power series and the reflection relations
Filippo Giraldi
A proof of the Riemann hypothesis is proposed by relying on the properties of the Mellin transform. The function is defined on the set $\bar{\mathbb{…
Regularities in the transformation of the oscillating decay rate in moving unstable quantum systems
Filippo Giraldi
Decay laws of moving unstable quantum systems with oscillating decay rates are analyzed over intermediate times. The transformations of the decay laws at rest and of the intermedia…
Transformation of intermediate times in the decays of moving unstable quantum systems via the exponential modes
Filippo Giraldi
The transformation of canonical decay laws of moving unstable quantum systems is studied by approximating, over intermediate times, the decay laws at rest with superpositions of ex…
Time dilation in the oscillating decay laws of moving two-mass unstable quantum states
Filippo Giraldi
The decay of a moving system is studied in case the system is initially prepared in a two-mass unstable quantum state. The survival probability is evaluated over…
Time dilation in relativistic quantum decay laws of moving unstable particles
Filippo Giraldi
The relativistic quantum decay laws of moving unstable particles are analyzed for a general class of mass distribution densities which behave as power laws near the (non-vanishing)…
Damped oscillations of the energy of a bosonic bath due to spectral gaps and special initial correlations
Filippo Giraldi
The energy of the bosonic bath and the flow of quantum information are analyzed over short and long times in local dephasing channels for special correlated or factorized initial c…
Sequences of information backflow in local dephasing channels with spectral gaps
Filippo Giraldi
The flow of quantum information in local dephasing channels is analyzed over short and long times in case the structured reservoirs of frequency modes exhibit a spectral gap in the…
Bath energy for correlated initial states versus information flow in local dephasing channels
Filippo Giraldi
Variations of the bath energy are compared with the information flow in local dephasing channels. Special correlated initial conditions are prepared from the thermal equilibrium of…
Bath correlation functions for logarithmic spectral densities
Filippo Giraldi
We study the bath correlation functions (BCFs) of open quantum systems interacting with thermal baths, in case the spectral densities (SDs) exhibit removable logarithmic singularit…
Regular patterns in the information flow of local dephasing channels
Filippo Giraldi
Consider local dephasing processes of a qubit that interacts with a structured reservoir of frequency modes or a thermal bath, with Ohmic-like spectral density (SD). It is known th…
Some transcendental equations on the Stieltjes cone
Filippo Giraldi
A general class of transcendental equations in complex domain is considered for functions belonging to the Stieltjes cone. Under certain conditions each transcendental equation has…
A quantum model of almost perfect energy transfer
Robert Alicki, Filippo Giraldi
The Wigner-Weisskopf-type model describing the energy transfer between two centers mediated by a continuum of energy levels is studied. This work is motivated by the recent interes…
Designing reservoirs for 1/t decoherence of a qubit
Filippo Giraldi, Francesco Petruccione
Anomalous decoherence in the Jaynes-Cummings model emerges for a certain class of bosonic reservoirs, described by spectral densities with a band edge frequency coinciding with the…
Anomalous decay of an atom in structured band gap reservoirs
Filippo Giraldi, Francesco Petruccione
We analyze the spontaneous emission of a two-level atom interacting with a special class of structured reservoirs of field modes with band gap edge coinciding with the atomic trans…
Open system approach to the internal dynamics of a model multilevel molecule
Filippo Giraldi, Francesco Petruccione
A model multilevel molecule described by two sets of rotational internal energy levels of different parity and degenerate ground states, coupled by a constant interaction, is consi…
A reservoir for inverse power law decoherence of a qubit
Filippo Giraldi, Francesco Petruccione
The exact dynamics of a Jaynes-Cummings model for a qubit interacting with a continuous distribution of bosons, characterized by a special form of the spectral density, is evaluate…
Entanglement entropy and the determination of an unknown quantum state
Gerardo Aquino, Filippo Giraldi
An initial unknown quantum state can be determined with a single measurement apparatus by letting it interact with an auxiliary, "Ancilla", system as proposed by Allahverdyan, Bali…
Quantum Entanglement and Entropy
Filippo Giraldi, Paolo Grigolini
Entanglement is the fundamental quantum property behind the now popular field of quantum transport of information. This quantum property is incompatible with the separation of a si…