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- W2017263249 abstract "We study the real time dynamics of a quantum system with a potential barrier coupled to a heat-bath environment. The time evolution of the density matrix starting from a general initial state is evaluated explicitly in the semiclassical approximation. As the temperature is decreased below a critical temperature ${mathit{T}}_{mathit{c}}$, large quantum fluctuations render the harmonic approximation near the barrier top insufficient and a caustic arises. As a consequence, anharmonicities of the potential become essential, even in the close vicinity of the barrier top, and the semiclassical density matrix has to be evaluated beyond the Gaussian approximation. The range of validity with respect to temperature and time of the semiclassical analytical results is discussed in detail. We illustrate the outcome of the theory with an explicit example." @default.
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- W2017263249 title "Dissipative quantum systems with a potential barrier. II. Dynamics near the barrier top" @default.
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- W2017263249 doi "https://doi.org/10.1103/physreve.52.4704" @default.
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