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10 papers · 2 filters
An optimal entropic uncertainty relation in a two-dimensional Hilbert space
GianCarlo Ghirardi, Luca Marinatto, Raffaele Romano
We derive an optimal entropic uncertainty relation for an arbitrary pair of observables in a two-dimensional Hilbert space. Such a result, for the simple case we are considering, d…
Time and Geometric Quantization
A. A. Abrikosov, E. Gozzi, D. Mauro
In this paper we briefly review the functional version of the Koopman-von Neumann operatorial approach to classical mechanics. We then show that its quantization can be achieved by…
Classical Limit of Quantum Dynamical Entropies
F. Benatti, V. Cappellini, M. De Cock +2
Two non-commutative dynamical entropies are studied in connection with the classical limit. For systems with a strongly chaotic classical limit, the Kolmogorov-Sinai invariant is r…
Environment Induced Entanglement in Markovian Dissipative Dynamics
F. Benatti, R. Floreanini, M. Piani
We show that two, non interacting 2-level systems, immersed in a common bath, can become mutually entangled when evolving according to a Markovian, completely positive reduced dyna…
Numerical analysis of a spontaneous collapse model for a two-level system
A. Bassi, E. Ippoliti
We study a spontaneous collapse model for a two-level (spin) system, in which the Hamiltonian and the stochastic terms do not commute. The numerical solution of the equations of mo…
On Koopman-von Neumann Waves II
E. Gozzi, D. Mauro
In this paper we continue the study, started in [1], of the operatorial formulation of classical mechanics given by Koopman and von Neumann (KvN) in the Thirties. In particular we…