arXiv subjects

Fabrizio Illuminati

Publications and source records attributed to Fabrizio Illuminati.

95 records · Page 6Linked to original sources

arXiv1995

DYNAMICS OF SQUEEZING FROM GEMERALIZED COHERENT STATES

We extend the definition of generalized coherent states to include the case of time-dependent dispersion. We introduce a suitable operator providing displacement and dynamical rescaling from an arbitrary ground state. As a consequence, squeezing is naturally embedded in this framework, and its dynamics is ruled by the evolution equation for the dispersion. Our construction provides a displacement-operator method to obtain the squeezed states of arbitrary systems.

quant-ph↗

arXiv1993

Minimum Uncertainty, Coherence and Squeezing in Diffusion Processes, and Stochastic Quantization

We show that uncertainty relations, as well as minimum uncertainty coherent and squeezed states, are structural properties for diffusion processes. Through Nelson stochastic quantization we derive the stochastic image of the quantum mechanical coherent and squeezed states.

hep-th↗

arXiv1992

Thermal Reservoir coupled to External Field and Quantum Dissipation

In the framework of the Caldeira-Leggett model of dissipative quantum mechanics, we investigate the effects of the interaction of the thermal reservoir with an external field. In particular, we discuss how the interaction modifies the conservative dynamics of the central particle, and the mechanism of dissipation. We briefly comment on possible observable consequencies.

hep-th↗

arXiv1992

Energy Spectrum of Anyons in a Magnetic Field

For the many-anyon system in external magnetic field, we derive the energy spectrum as an exact solution of the quantum eigenvalue problem with particular topological constraints. Our results agree with the numerical spectra recently obtained for the 3- and the 4-anyon systems.

hep-th↗

arXiv1992

Semi-Classical Quantization of the Many-Anyon System

We discuss the problem of N anyons in harmonic well, and derive the semi-classical spectrum as an exactly solvable limit of the many-anyon Hamiltonian. The relevance of our result to the solution of the anyon-gas model is discussed.

hep-th↗