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Effect of transport coefficients on the time dependence of a density matrix

Yu V PalchikovJoint Institute for Nuclear Research, 141980 Dubna, RussiaG G AdamianInstitut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, GermanyN V AntonenkoInstitut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, GermanyW ScheidInstitut für Theoretische Physik der Justus-Liebig-Universität, D-35392 Giessen, Germany
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Abstract

For Lindblad's master equation of open quantum systems with a general quadratic form of the Hamiltonian, the propagator of the density matrix is analytically calculated by using path integral techniques. The time-dependent density matrix is applied to nuclear barrier penetration in heavy ion collisions with inverted oscillator and double-well potentials. The quantum mechanical decoherence of pairs of phase space histories in the propagator is studied and shown that the decoherence depends crucially on the transport coefficients.

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