6533b7d7fe1ef96bd1268493

RESEARCH PRODUCT

The Emergence of Chaos in Quantum Mechanics

Emilio Fiordilino

subject

Settore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciPhysics and Astronomy (miscellaneous)General MathematicschaosChaotic01 natural sciences010309 opticssymbols.namesakeQuantum mechanics0103 physical sciencesComputer Science (miscellaneous)010306 general physicschaononlinear Schrödinger equationNonlinear Schrödinger equationPoincaré mapPhysicsBloch spherelcsh:MathematicsTime evolutionlcsh:QA1-939Exponential functionhigh order harmonic generationNonlinear systemChemistry (miscellaneous)symbolsHamiltonian (quantum mechanics)

description

Nonlinearity in Quantum Mechanics may have extrinsic or intrinsic origins and is a liable route to a chaotic behaviour that can be of difficult observations. In this paper, we propose two forms of nonlinear Hamiltonian, which explicitly depend upon the phase of the wave function and produce chaotic behaviour. To speed up the slow manifestation of chaotic effects, a resonant laser field assisting the time evolution of the systems causes cumulative effects that might be revealed, at least in principle. The nonlinear Schr&ouml

yearjournalcountryeditionlanguage
2020-05-08Symmetry
10.3390/sym12050785https://www.mdpi.com/2073-8994/12/5/785