Classical and Quantum Chaos and Control of Heat Flow

Heat Flow in Classical and Quantum Systems and Thermal Rectification

The understanding of the underlying dynamical mechanisms which determine the macroscopic laws of heat conduction is a long standing task of non-equilibrium statistical mechanics. A better understanding of the mechanism of heat conduction may lead to potentially interesting applications based on the possibility to control the heat flow. Indeed, different models of thermal rectifiers has been rec...

Comparison of Classical Chaos with Quantum Chaos

Abstract We investigate chaotic behavior in a 2-D Hamiltonian system oscillators with anharmonic coupling. We compare the classical system with quantum system. Via the quantum action, we construct Poincaré sections and compute Lyapunov exponents for the quantum system. We find that the quantum system is globally less chaotic than the classical system. We also observe with increasing energy the ...

Quantum Chaos, Classical Randomness, and Bohmian Mechanics

Department of Mathematics Rutgers University New Brunswick, NJ 08903 Abstract. It is argued that dynamical chaos in quantum mechanics arises solely from the collapse rule applied in measurements. As such it is quite distinct from classical (deterministic) chaos, which arises from the dynamical law itself. It is shown, however, that if the particles of a quantum system are regarded as “real,” i....

Classical and Quantum Chaos in Atom Optics

The interaction of an atom with an electromagnetic field is discussed in the presence of a time periodic external modulating force. It is explained that a control on atom by electromagnetic fields helps to design the quantum analog of classical optical systems. In these atom optical systems chaos may appear at the onset of external fields. The classical and quantum chaotic dynamics is discussed...

Chaos: Classical and Quantum Part I: DeterministicChaos