TY - JOUR
T1 - Time Evolution of Wigner Function in Dissipative Quantum Systems Using Entangled Trajectory Molecular Dynamics
AU - Wang , Lifei
AU - Wang , Yan
AU - Zhang , Qin
AU - Sun , Haibo
AU - Zhao , Juan
JO - Journal of Atomic and Molecular Sciences
VL - 4
SP - 172
EP - 183
PY - 2016
DA - 2016/07
SN - 7
DO - http://doi.org/10.4208/jams.053016.072116a
UR - https://global-sci.org/intro/article_detail/jams/8156.html
KW - Klein-Kramers equation, Wigner function, entangled trajectory molecular dynamics.
AB - <p style="text-align: justify;">The dissipative quantum systems are treated using Klein-Kramers equation,
combined with the Gaussian kernel trajectory ensemble, for time evolution of Wigner
function $ρ_ω(q, p, t)$ in phase space. The entangled trajectory molecular dynamics approach
is used to obtain trajectory solutions for the Klein-Kramers equation with three
models: free particle, damped harmonic oscillator and metastable potential. It is found
that the performance of semiclassical Wigner propagation is effectively for the relaxation
of damped harmonic oscillator and dissipative decay of a metastable state. In
addition, the energy of trajectory ensemble decays faster with smaller friction value
and changes slightly with variable temperature parameters.</p>