6533b829fe1ef96bd128a4c5

RESEARCH PRODUCT

The bistable potential: An archetype for classical and quantum systems

P. CaldaraGiuseppe FalciAlessandro FiasconaroA. La CognataDavide ValentiBernardo SpagnoloAlexander A. Dubkov

subject

Physicsmultiplicative noiseSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciBistabilityThermal reservoirMetastability and bistabilityStochastic resonanceTime evolutionStatistical and Nonlinear Physicsopen quantum systemsCondensed Matter PhysicsNoise (electronics)Multiplicative noisepopulation dynamicnoise enhanced stabilityQuantum mechanicsQuasiperiodic functionStatistical physicsstochastic resonanceQuantumMetastability and bistability; multiplicative noise; noise enhanced stability; stochastic resonance; population dynamics; open quantum systems

description

In this work we analyze the transient dynamics of three different classical and quantum systems. First, we consider a classical Brownian particle moving in an asymmetric bistable potential, subject to a multiplicative and additive noise source. We investigate the role of these two noise sources on the life time of the metastable state. A nonmonotonic behavior of the lifetime as a function of both additive and multiplicative noise intensities is found, revealing the phenomenon of noise enhanced stability. Afterward, by using a LotkaVolterra model, the dynamics of two competing species in the presence of Lévy noise sources is analyzed. Quasiperiodic oscillations and stochastic resonance phenomenon in the dynamics of the competing species are found. Finally the dynamics of a quantum particle subject to an asymmetric bistable potential and interacting with a thermal reservoir is investigated. We use the CaldeiraLeggett model and the approach of the FeynmanVernon functional in discrete variable representation. We obtain the time evolution of the population distributions in energy eigenstates of the particle, for different values of the coupling strength with the thermal bath. © 2012 World Scientific Publishing Company.

yearjournalcountryeditionlanguage
2012-05-08
http://hdl.handle.net/10261/74242