A path integral for classical dynamics

In this thesis I focus on what can be called quantum-classical divide. I consider the Liouville equation and the von Neumann equation, for a single massive particle, in a space called Liouville space. We introduce Liouville space in order to describe the dynamics of the density operator more conveniently. In Liouville space the density operator becomes a vector, we can think at it like a wavefunction, which allow us to use powerful methods already developed. Furthermore we can define operators acting on bra-states an ket-states simultaneously. To distinguish they from ordinary Hilbert space operator we call them superoperators. The first advantage appears, the Liouville equation and the von Neumann equation differ only by a characteristic superoperator. This parallel treatment gives powerful tools to study the differences of the quantum and classical evolutions. Therefore, a path integral is formulated in order to calculate the Green's functions of the evolution equations. A different interaction term in the action turns out to be the difference between the two Grenn's function. I study the free evolution of a classical particle and of a gaussian density matrix. In order to study potentials that cannot be solved exactly, perturbation theory is derived. A new type of Feynman diagrams appears. In more detail, i consider the case of an anharmonic potential and calculate, respectively, the quantum and classical Green's functions to first order in the coupling constant of the interaction. Furthermore, choosing an initial density matrix representing a plane wave state, I compare the two different evolutions graphically. Finally, I re-derive the Liouville equation, the path integral, and the perturbation expansion for the case of two particles. New aspects concerning the (dynamically assisted) entanglement (generation) are demonstrated. However, the theory can be extended to multi-particles case, then the new path integral for classical dynamics should be useful to study classical statistical problems

Dynamical correlation functions and the quantum Rabi model

We study the quantum Rabi model within the framework of the analytical solution developed in Phys. Rev. Lett. 107,100401 (2011). In particular, through time-dependent correlation functions, we give a quantitative criterion for classifying two regions of the quantum Rabi model, involving the Jaynes-Cummings, the ultrastrong, and deep strong coupling regimes. In addition, we find a stationary qubit-field entangled basis that governs the whole dynamics as the coupling strength overcomes the mode frequency.Comment: 8 pages, 8 figures. Revised version, accepted for publication in Physical Review

Free-space quantum key distribution by rotation-invariant twisted photons

Twisted photons are photons carrying a well-defined nonzero value of orbital angular momentum (OAM). The associated optical wave exhibits a helical shape of the wavefront (hence the name) and an optical vortex at the beam axis. The OAM of light is attracting a growing interest for its potential in photonic applications ranging from particle manipulation, microscopy and nanotechnologies, to fundamental tests of quantum mechanics, classical data multiplexing and quantum communication. Hitherto, however, all results obtained with optical OAM were limited to laboratory scale. Here we report the experimental demonstration of a link for free-space quantum communication with OAM operating over a distance of 210 meters. Our method exploits OAM in combination with optical polarization to encode the information in rotation-invariant photonic states, so as to guarantee full independence of the communication from the local reference frames of the transmitting and receiving units. In particular, we implement quantum key distribution (QKD), a protocol exploiting the features of quantum mechanics to guarantee unconditional security in cryptographic communication, demonstrating error-rate performances that are fully compatible with real-world application requirements. Our results extend previous achievements of OAM-based quantum communication by over two orders of magnitudes in the link scale, providing an important step forward in achieving the vision of a worldwide quantum network

Two-particle bosonic-fermionic quantum walk via 3D integrated photonics

Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Up to now the experimental implementations have been restricted to single particle quantum walk, while very recently the quantum walks of two identical photons have been reported. Here, for the first time, we investigate how the particle statistics, either bosonic or fermionic, influences a two-particle discrete quantum walk. Such experiment has been realized by adopting two-photon entangled states and integrated photonic circuits. The polarization entanglement was exploited to simulate the bunching-antibunching feature of non interacting bosons and fermions. To this scope a novel three-dimensional geometry for the waveguide circuit is introduced, which allows accurate polarization independent behaviour, maintaining a remarkable control on both phase and balancement.Comment: 4 pages, 5 figures + supplementary informatio

A path integral for classical dynamics, entanglement, and Jaynes-Cummings model at the quantum-classical divide

The Liouville equation differs from the von Neumann equation 'only' by a characteristic superoperator. We demonstrate this for Hamiltonian dynamics, in general, and for the Jaynes-Cummings model, in particular. -- Employing superspace (instead of Hilbert space), we describe time evolution of density matrices in terms of path integrals which are formally identical for quantum and classical mechanics. They only differ by the interaction contributing to the action. This allows to import tools developed for Feynman path integrals, in order to deal with superoperators instead of quantum mechanical commutators in real time evolution. Perturbation theory is derived. Besides applications in classical statistical physics, the "classical path integral" and the parallel study of classical and quantum evolution indicate new aspects of (dynamically assisted) entanglement (generation). Our findings suggest to distinguish 'intra'- from 'inter-space' entanglement.Comment: 22 pages; based on invited talk at Quantum 2010 - Advances in Foundations of Quantum mechanics and Quantum Information with Atoms and Photons (Torino, May 2010). To appear in Int. J. Qu. Inf

Polarization preserving ultra fast optical shutter for quantum information processing

We present the realization of a ultra fast shutter for optical fields, which allows to preserve a generic polarization state, based on a self-stabilized interferometer. It exhibits high (or low) transmittivity when turned on (or inactive), while the fidelity of the polarization state is high. The shutter is realized through two beam displacing prisms and a longitudinal Pockels cell. This can represent a useful tool for controlling light-atom interfaces in quantum information processing.Comment: 4 pages, 6 figure

Left Ventricular Function, Epicardial Adipose Tissue, and Carotid Intima-Media Thickness in Children and Adolescents With Vertical HIV Infection.

BACKGROUND: Life expectancy of HIV patients has increased considerably as a result of antiretroviral therapy (ART), and cardiovascular (CV) disease has emerged as an important late concern. People with HIV infection could have an impaired systolic function; however data on diastolic function and markers of CV risk, such as epicardial adipose tissue (EAT) and intima-media thickness (IMT), are lacking. Aim of this study is to evaluate left ventricular function, EAT, and IMT in children and adolescents with vertically acquired HIV infection. METHODS: We enrolled 29 subjects on ART (13, 45% men; median age of 13.0, and interquartile range 9-18), and 29 age-matched controls. All patients and controls underwent echocardiographic evaluation, with study of the systolic and diastolic function and measurement of the EAT, and a carotid ultrasound study for IMT measurement. RESULTS: Comparing HIV-infected patients to healthy controls, we found a statistically significant increase of EAT and IMT (mean ± SD) (EAT: 3.16 ± 1.05 vs 1.24 ± 0.61 mm; P < 0.0001. IMT: 0.77 ± 0.15 vs 0.51 ± 0.11 mm; P < 0.0001), and a significant reduction of ejection fraction, evaluated with the biplane Simpson method (mean ± SD) (58.5% ± 6.66% vs 66% ± 4.24%; P = 0.029). These results are not related with age, gender, degree of lipodystrophy, dyslipidemia, hyperinsulinism, and ART duration or the use of single antiretroviral classes. CONCLUSIONS: Vertically infected HIV children and adolescents show an increased thickness of EAT and IMT, expression of potentially increased CV risk. They also show an impaired systolic function

Native Mitral Valve Endocarditis Caused by Neisseria elongata subsp. nitroreducens in a Patient with Marfan Syndrome: First Case in Italy and Review of the Literature

Neisseria elongata (NE) is an aerobic Gram-negative organism that constitutes part of the commensal human normal oropharyngeal flora. Although previously considered not to be pathogenic, it has been recognized as an occasional cause of significant infections in humans. We report here the first case in Italy of infective endocarditis of a native prolapsing mitral valve in a patient with Marfan syndrome, caused by NE subspecies nitroreducens which has been rarely isolated from clinical specimens. The culprit organism has been confirmed by mass spectrometry directly from the positive blood culture, as previously reported. The amplified gene has been deposited in GenBank under accession number KT591873. In spite of the reported aggressive nature of NE, clinical remission was promptly obtained, there being no requirement for surgery

Surface ruptures database related to the 26 December 2018, MW 4.9 Mt. Etna earthquake, southern Italy

We provide a database of the surface ruptures produced by the 26 December 2018 Mw 4.9 earthquake that struck the eastern flank of Mt. Etna volcano in Sicily (southern Italy). Despite its relatively small magnitude, this shallow earthquake caused about 8 km of surface faulting, along the trace of the NNW-trending active Fiandaca Fault. Detailed field surveys have been performed in the epicentral area to map the ruptures and to characterize their kinematics. The surface ruptures show a dominant right-oblique sense of displacement with an average slip of about 0.09 m and a maximum value of 0.35 m. We have parsed and organized all observations in a concise database, with 932 homogeneous georeferenced records. The Fiandaca Fault is part of the complex active Timpe faults system affecting the eastern flank of Etna, and its seismic history indicates a prominent surface-faulting potential. Therefore, this database is essential for unravelling the seismotectonics of shallow earthquakes in volcanic areas, and contributes updating empirical scaling regressions that relate magnitude and extent of surface faulting.Publishedid 422T. Deformazione crostale attivaJCR Journa

Surface ruptures following the 26 December 2018, Mw 4.9, Mt. Etna earthquake, Sicily (Italy)

We present a 1:10,000 scale map of the coseismic surface ruptures following the 26 December 2018 Mw 4.9 earthquake that struck the eastern flank of Mt. Etna volcano (southern Italy). Detailed rupture mapping is based on extensive field surveys in the epicentral region. Despite the small size of the event, we were able to document surface faulting for about 8 km along the trace of the NNW-trending active Fiandaca Fault, belonging to the Timpe tectonic system in the eastern flank of the volcano. The mapped ruptures are characterized in most cases by perceivable opening and by a dominant right-oblique sense of slip, with an average slip of about 0.09 m and a peak value of 0.35 m. It is also noteworthy that the ruptures vary significantly in their kinematic expression, denoting locally high degree of complexity of the surface faulting.Published831-8372T. Deformazione crostale attivaJCR Journa