Abstract:
Based on the non-Markovian quantum Langevin equations, we obtain
time-dependent transport coefficients for an inverted oscillator coupled
linearly in the coordinate to a thermostat. We comparatively analyze
the diffusion coefficients for harmonic and inverted oscillators and study
the role of quantum statistical effects in the passage through a parabolic
barrier.
Keywords:
open quantum system, friction coefficient, diffusion coefficient, non-Markovian dynamics.
Citation:
V. V. Sargsyan, Z. Kanokov, G. G. Adamian, N. V. Antonenko, “Quantum non-Markovian Langevin equations and transport coefficients
for an inverted oscillator”, TMF, 156:3 (2008), 425–443; Theoret. and Math. Phys., 156:3 (2008), 1331–1346