Continuum limit frozen Gaussian approximation for the reduced thermal density matrix of dissipative systems
- 1 March 2012
- journal article
- research article
- Published by AIP Publishing in The Journal of Chemical Physics
- Vol. 136 (9), 094101
- https://doi.org/10.1063/1.3682241
Abstract
A continuum limit frozen Gaussian approximation is formulated for the reduced thermal density matrix for dissipative systems. The imaginary time dynamics is obtained from a novel generalized Langevin equation for the system coordinates. The method is applied to study the thermal density in a double well potential in the presence of Ohmic-like friction. We find that the approximation describes correctly the delocalization of the density due to quantization of the vibrations in the well. It also accounts for the friction induced reduction of the tunneling density in the barrier region.Keywords
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