494 research outputs found
Operator ordering and causality
It is shown that causality violations [M. de Haan, Physica 132A, 375, 397
(1985)], emerging when the conventional definition of the time-normal operator
ordering [P.L.Kelley and W.H.Kleiner, Phys.Rev. 136, A316 (1964)] is taken
outside the rotating wave approximation, disappear when the amended definition
[L.P. and S.S., Annals of Physics, 323, 1989 (2008)] of this ordering is used.Comment: References update
States prepared by decay
We consider the time evolution of a discrete state embedded in a continuum.
Results from scattering theory can be utilized to solve the initial value
problem and discuss the system as a model of wave packet preparation. Extensive
use is made of the analytic properties of the propagators, and simple model
systems are evaluated to illustrate the argument. We verify the exponential
appearence of the continuum state and its propagation as a localized wave
packet.Comment: 22 pages, Latex2.09, 6 Postscript figures embedded using psfig, see
also http://www.physics.helsinki.fi/~kasuomin/ To appear in a Special Issue
of Journal of Modern Optics (1997
Weisskopf-Wigner model for wave packet excitation
We consider a laser induced molecular excitation process as a decay of a
single energy state into a continuum. The analytic results based on
Weisskopf-Wigner approach and perturbation calculations are compared with
numerical wave packet results. We find that the decay model describes the
excitation process well within the expected parameter region.Comment: 14 pages, Latex2.09, 9 Postscript figures embedded using psfig, see
also http://www.physics.helsinki.fi/~kasuomin
Coupled eigenmodes in a two-component Bose-Einstein condensate
We have studied the elementary excitations in a two-component Bose-Einstein
condensate. We concentrate on the breathing modes and find the elementary
excitations to possess avoided crossings and regions of coalescing oscillations
where both components of the condensates oscillate with same frequency. For
large repulsive interactions between the condensates, their oscillational modes
tend to decouple due to decreased overlap. A thorough investigation of the
eigenmodes near the avoided crossings is presented.Comment: Replacement, 17 pages, 9 figure
Quantum Master Equation of Particle in Gas Environment
The evolution of the reduced density operator of Brownian particle is
discussed in single collision approach valid typically in low density gas
environments. This is the first succesful derivation of quantum friction caused
by {\it local} environmental interactions. We derive a Lindblad master equation
for , whose generators are calculated from differential cross section of
a single collision between Brownian and gas particles, respectively. The
existence of thermal equilibrium for is proved. Master equations
proposed earlier are shown to be particular cases of our one.Comment: 6 pages PlainTeX, 23-March-199
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