Authors:
Howard H. Rosenbrock,
Volume: 1, Page 1353 Paper number 3001
Abstract:
Dynamic programming gives a new method for computing the wave function
in quantum mechanics. The paper compares this method with Feynman's
path integral method.
Authors:
John V. Leahy,
Sonia G. Schirmer,
Volume: 1, Page 1358 Paper number 3002
Abstract:
In previous work we derived kinematical bounds on the optimization
of observables for mixed-state quantum systems and showed that they
are dynamically realizable if the system is completely controllable.
In this paper the problem of finding dynamically realizable bounds
for systems that are not completely controllable is addressed. We
derive such bounds for systems whose dynamics can be decomposed into
subspace dynamics. We also study systems that are not decomposable
yet fail to be completely controllable. For these systems, the question
of dynamical realizability of the kinematical bounds depends on the
accessibility of the target states for which the expectation value
of the observable assumes its kinematical maximum.
Authors:
Gabriel Turinici,
Volume: 1, Page 1364 Paper number 3003
Abstract:
This paper is dedicated to the search of tailored controllability concepts
for quantum systems interacting with lasers. A negative result for
infinite dimensional spaces serves as motivation for a finite dimensional
analysis. We show that under physically reasonable hypothesis we can
locally control sets of observables. As a remarkable particular case
global exact controllability is proven for the population of the eigenstates.
Authors:
Raimund J. Ober,
Viswanath Ramakrishna,
Elizabeth Sally Ward,
Volume: 1, Page 1370 Paper number 3005
Abstract:
A survey of results is presented that show how system theoretic notions
play an important role in NMR spectroscopy.
Authors:
Sonia G. Schirmer,
Volume: 1, Page 1376 Paper number 3006
Abstract:
We present a new approach to laser cooling of internal molecular degrees
of freedom using a sequence of ultrashort laser pulses. Instead of
attempting to maximize the vibrational ground-state population in a
single step using an optimal control field, we use an optimally shaped,
ultra-short laser pulse to transfer most of the population of the excited
vibrational states to an excited electronic surface; then we switch
the field off and allow the system to relax until most of the excited
electronic state population has decayed due to spontaneous emission.
We repeat this procedure a few times until the vibrational ground
state population has reached a desired minimum value of ca. 90%. The
advantages of this procedure are that it relies mainly on spontaneous
emission to reduce the entropy of the system, there is virtually no
population loss on the ground surface at the final time, and unlike
one-step optimization procedures using coherent control, it is effective
even if the lifetime of the excited electronic states is much longer
than the length of the pulse.
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