From Pure Schroedingerian to Statistical Dynamics

Abstract

Many processes in nature seem to be entirely controlled by transition rates and the corresponding statistical dynamics. Some of them are in essence quantum, like the decay of excited states, the tunneling through barriers or the decay of unstable nuclei. Thus, starting from first principles, those systems should be analyzed on the basis of the Schroedinger equation. In the present paper we consider a two level system coupled to an environment which is basically described by an two-band energy scheme. For appropriately tuned environment parameters, the excitation probability of the two level system exhibits statistical dynamics, while the full system follows the coherent, unitary pure state evolution generated by the Schroedinger equation.

9 pages, 7 figures, accepted for publication in Physica E

References in corpus (2)

• Distribution of local entropy in the Hilbert space of bi-partite quantum systems: Origin of Jaynes' principle
• Entanglement and the factorization-approximation

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• Limited validity of the Kubo formula for thermal conduction in modular quantum systems
• Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
• Microscopic Quantum Mechanical Foundation of Fourier's Law
• How can we derive Fourier's Law from quantum mechanics? Exact master equation analysis
• Finite quantum environments as thermostats: an analysis based on the Hilbert space average method
• Application of the Hilbert Space Average Method on Heat Conduction Models
• Statistical Relaxation in Closed Quantum Systems and the Van Hove-Limit