122 research outputs found
Rotating wave approximation: systematic expansion and application to coupled spin pairs
We propose a new treatment of the dynamics of a periodically time-dependent
Liouvillian by mapping it onto a time-independent problem and give a systematic
expansion for its effective Liouvillian. In the case of a two-level system, the
lowest order contribution is equivalent to the well-known rotating wave
approximation. We extend the formalism to a pair of coupled two-level systems.
For this pair, we find two Rabi frequencies and we can give parameter regimes
where the leading order of the expansion is suppressed and higher orders become
important. These results might help to investigate the interaction of tunneling
systems in mixed crystals by providing a tool for the analysis of echo
experiments.Comment: 15 pages, Latex, submitted to European Physical Journal
Nonequilibrium quantum fluctuation relations for harmonic systems in nonthermal environments
We formulate exact generalized nonequilibrium fluctuation relations for the
quantum mechanical harmonic oscillator coupled to multiple harmonic baths. Each
of the different baths is prepared in its own individual (in general
nonthermal) state. Starting from the exact solution for the oscillator dynamics
we study fluctuations of the oscillator position as well as of the energy
current through the oscillator under general nonequilibrium conditions. In
particular, we formulate a fluctuation-dissipation relation for the oscillator
position autocorrelation function that generalizes the standard result for the
case of a single bath at thermal equilibrium. Moreover, we show that the
generating function for the position operator fullfills a generalized
Gallavotti-Cohen-like relation. For the energy transfer through the oscillator,
we determine the average energy current together with the current fluctuations.
Finally, we discuss the generalization of the cumulant generating function for
the energy transfer to nonthermal bath preparations.Comment: 21 page
- …