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Quantum H-theorem and irreversibility in quantum mechanics (1312.7146v1)
Published 26 Dec 2013 in quant-ph, cond-mat.mes-hall, and cond-mat.stat-mech
Abstract: We investigate temporal evolution of von Neumann's entropy in exemplary quantum mechanical systems and show that it grows in systems evolving with incrementally increasing decoherence during scattering processes. We demonstrate that the origin of irreversibility lies in complexity of preparing time-reversed quantum states due to entanglement and in partitioning of the wave function of the evolving system.