Classical, semi-classical, and quantum-field descriptions for the interaction of light with matter are
systematically discussed. Applications of interest include precise determinations of the linear and the non-linear
electromagnetic response relevant to resonant pump-probe optical phenomena, such as electromagnetically induced
transparency. In the quantum-mechanical description of matter systems, we introduce a general reduced-density-matrix
framework. Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed
in a unified and self-consistent manner, using a Liouville-space operator representation. A preliminary semi-classical
perturbation treatment of the electromagnetic interaction is adopted, in which the electromagnetic field is described as a
classical field satisfying the Maxwell equations. Compact Liouville-space operator expressions are derived for the linear
and the general (nth order) non-linear electromagnetic-response tensors describing moving many-electron systems. The
tetradic matrix elements of the Liouville-space self-energy operators, which are introduced in the time-domain and
frequency-domain formulations, are evaluated for environmental collisional and radiative interactions, in order to
provide explicit forms for the quantum kinetic equations and the spectral-line shape formulas. It is emphasized that a
quantized-field approach is essential for a fully self-consistent quantum-mechanical description of the interacting light-matter
system.
Calculations are presented of ground state resonance structure associated with water complexes of -HMX using
density functional theory (DFT), which is for subsequent construction of permittivity functions to be used for
simulations of explosives detection within a humid environment. The DFT software GAUSSIAN was used for
the calculations of ground state resonance structure presented.
Microscopic and macroscopic descriptions of electromagnetic-field propagation relevant to resonant pumpprobe
optical phenomena, such as electromagnetically induced transparency, in quantized many-electron systems are
formulated within the framework of a general reduced-density-matrix approach. Time-domain (equation-of-motion) and
frequency-domain (resolvent-operator) formulations are developed in a unified and self-consistent manner. A
semiclassical perturbation-theory treatment of the electromagnetic interaction is adopted, in which the electromagnetic
field is described as a classical field satisfying either the microscopic form or the macroscopic form of the Maxwell
equations. However, it is emphasized that a quantized-field approach is essential for a fully self-consistent quantummechanical
formulation. Compact Liouville-space operator expressions are obtained for the linear and the general (n'th
order) non-linear electromagnetic-response tensors for moving many-electron systems. These expressions can be
evaluated for coherent initial electronic excitations and for the full tetradic-matrix form of the Liouville-space selfenergy
operator in the Markov (short-memory-time) approximation. Environmental interactions can be treated in terms
of the Liouville-space self-energy operator, and the influence of Zeeman coherences on electromagnetic-field
propagation can be investigated by including an applied magnetic field together with the electromagnetic field.
We present calculations of ground state resonance structure associated with the high explosive PETN using density
functional theory (DFT), which is for the construction of parameterized dielectric response functions for excitation by
electromagnetic waves at compatible frequencies. These dielectric functions provide for different of types of analyses
concerning the dielectric response of explosives. In particular, these dielectric response functions provide quantitative
initial estimates of spectral response features for subsequent adjustment with respect to additional information such as
laboratory measurements and other types of theory based calculations. With respect to qualitative analysis, these spectra
provide for the molecular level interpretation of response structure. The DFT software NRLMOL was used for the
calculations of ground state resonance structure presented here.
Non-linear interactions involving pump-probe optical phenomena, such as electromagnetically induced
transparency, in quantized many-electron systems are investigated using a reduced-density-matrix approach. Time-domain
(equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified manner
and self-consistent manner. The standard Born (lowest-order perturbation-theory) and Markov (short-memory-time)
approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian
formulations. A preliminary semiclassical perturbation-theory treatment of the electromagnetic interaction is adopted.
However, it is emphasized that a quantized-electromagnetic-field approach is essential for a self-consistent quantum-mechanical
formulation. Our primary result is the derivation of compact Liouville-space operator expressions for the
linear and the general (n'th order) non-linear macroscopic electromagnetic-response tensors for moving many-electron
system. These expressions can be evaluated for coherent initial electronic excitations and for the full tetradic-matrix
form of the Liouville-space self-energy operator representing the environmental interactions in the Markov
approximation. Environmental interactions can be treated in various approximations for the self-energy operator, and the
influence of Zeeman coherences on electromagnetic-field propagation can be investigated by including an applied
magnetic field on an equal footing with the electromagnetic fields.
Linear and non-linear interactions in electromagnetically induced transparency and related pump-probe optical
phenomena involving moving many-electron atomic systems are investigated using a reduced-density-matrix approach.
Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified
manner. The standard Born (lowest-order perturbation-theory) and Markov (short-memory-time) approximations are
systematically introduced within the framework of the general non-perturbative and non-Markovian formulations. A
preliminary semiclassical perturbation-theory treatment of the electromagnetic interaction is adopted. However, it is
emphasized that a quantized-electromagnetic-field approach is essential for a self-consistent quantum-mechanical
formulation. Our primary result is the derivation of compact Liouville-space operator expressions for the linear and the
general (n'th order) non-linear macroscopic electromagnetic-response tensors. These expressions can be evaluated for
coherent initial atomic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator
representing the environmental interactions in the Markov approximation. Collisional interactions between atoms can be
treated in various approximations for the self-energy operator, and the influence of Zeeman coherences on the
electromagnetic-pulse propagation can be investigated by including an applied magnetic field on an equal footing with
the electromagnetic fields.
Reduced density matrix descriptions are developed for linear and non-linear interactions in electromagnetically
induced transparency and related pump-probe optical phenomena involving moving atomic systems. Applied magnetic
fields as well as atomic collisions, together with other environmental decoherence and relaxation processes, are taken
into account. Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are
developed in a unified manner. The standard Born (lowest-order perturbation-theory) and Markov (short-memory-time)
approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian
formulations. A preliminary semiclassical treatment of the electromagnetic interaction is adopted. However, the need
for a fully quantum mechanical approach is emphasized. Compact Liouville-space operator expressions are derived for
the linear and the general (n'th order) non-linear macroscopic electromagnetic-response tensors within the framework of
a perturbation-theory treatment of the semiclassical electromagnetic interaction. These expressions can be evaluated for
coherent initial atomic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator
representing the environmental interactions in the Markov approximation. Collisional interactions between atoms can be
treated in various approximations for the self-energy operator, and the influence of Zeeman coherences on the
electromagnetic-pulse propagation can be investigated.
Reduced density matrix descriptions are developed for linear and non-linear electromagnetic interactions of
moving atomic systems, taking into account applied magnetic fields as well as atomic collisions together with other
environmental decoherence and relaxation processes. Applications of interest include electromagnetically induced
transparency and related pump-probe optical phenomena in warm atomic vapors. Time-domain (equation-of-motion)
and frequency-domain (resolvent-operator) formulations are developed in a unified manner. The standard Born (lowestorder
perturbation-theory) and Markov (short-memory-time) approximations are systematically introduced within the
framework of the general non-perturbative and non-Markovian formulations. A preliminary semiclassical treatment of
the electromagnetic interaction is adopted. However, the need for a fully quantum mechanical approach is emphasized.
Compact Liouville-space operator expressions are derived for the linear and the general (n'th order) non-linear
macroscopic electromagnetic-response tensors occurring in a perturbation-theory treatment of the semiclassical
electromagnetic interaction. These expressions can be evaluated for coherent initial atomic excitations and for the full
tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions in the
Markov approximation. Collisional interactions between atoms can be treated in various approximations for the selfenergy
operator, and the influence of Zeeman coherences on the macroscopic electromagnetic response can be
investigated.
Reduced density matrix descriptions are developed for linear and non-linear electromagnetic interactions of
moving atomic systems, taking into account applied magnetic fields. Atomic collision processes are treated as
environmental interactions. Applications of interest include electromagnetically induced transparency and related pump-probe
optical phenomena in atomic vapors. Time-domain (equation-of-motion) and frequency-domain (resolvent-operator)
formulations are developed in a unified manner. The standard Born (lowest-order perturbation-theory) and
Markov (short-memory-time) approximations are systematically introduced within the framework of the general nonperturbative
and non-Markovian formulations. A preliminary semiclassical treatment of the electromagnetic interaction
is introduced. However, the need for a fully quantum mechanical approach is emphasized. Compact Liouville-space
operator expressions are derived for the linear and the general (n'th order) non-linear electromagnetic-response tensors
occurring in a perturbation-theory treatment of the electromagnetic interaction. These expressions can be evaluated for
coherent initial atomic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator
representing the environmental interactions in the Markov approximation. Intense-field electromagnetic interactions can
be treated by means of an alternative method, which is based on a Liouville-space Floquet representation of the reduced
density operator. Collisional interactions between atoms in a vapor can be treated in various approximations for the self-energy
operator and the influence of Zeeman coherences on the electromagnetic response can be incorporated.
Liouville-space (reduced-density-operator) descriptions are developed for resonant and coherent electromagnetic interactions of quantized electronic systems, taking into account environmental decoherence and relaxation phenomena. Applications of interest include electromagnetically-induced transparency and related pump-probe optical phenomena in many-electron atomic systems (in electron-ion beam interactions, gases, and high-temperature plasmas) and
semiconductor materials (bulk crystals and nanostructures). Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified manner. The standard Born (lowest-order perturbationtheory) and Markov (short-memory-time) approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian formulations. A preliminary semiclassical description of the entire electromagnetic interaction is introduced. Compact Liouville-space operator expressions are derived for the linear and the general (n'th order) non-linear electromagnetic-response tensors occurring in a perturbation-theory treatment of the semiclassical electromagnetic interaction. These expressions can be evaluated for coherent initial electronic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions in the Markov approximation. Intense-field electromagnetic interactions are treated by means of an alternative, non-perturbative method, which is based on a Liouville-space Floquet-Fourier representation of the reduced density operator. Electron-electron quantum correlations are treated by the introduction of a cluster decomposition of the reduced density operator and a coupled hierarchy of reduced-density-operator equations.
A reduced-density-matrix description is developed for linear and non-linear electromagnetic interactions of quantized electronic systems in the presence of environmental decoherence and relaxation phenomena. Applications of interest include many-electron atomic systems (in electron-ion beam interactions, gases, and high-temperature plasmas) and semiconductor materials (bulk crystals and nanostructures). Time-domain (equation-of-motion) and frequency-domain (resolvent-operator) formulations are developed in a unified manner. The standard Born (lowest-order perturbation-theory) and Markov (short-memory-time) approximations are systematically introduced within the framework of the general non-perturbative and non-Markovian formulations. A preliminary semiclassical treatment of the electromagnetic interaction is introduced. Compact Liouville-space operator expressions are derived for the linear and the general (n’th order) non-linear electromagnetic-response tensors, allowing for coherent initial electronic excitations and for the full tetradic-matrix form of the Liouville-space self-energy operator representing the environmental interactions. It is emphasized that quantum-coherent many-body interactions cannot be adequately treated as environmentally induced phenomena.
A summary of recent developments of x-ray spectroscopy for the application in laser produced plasma experiments is given. They are based on an advanced theoretical analysis of the radiation emission originating from autoionizing states and the realization of high resolution x-ray spectromicroscopy methods. Particular emphasize is given on non-Maxwellian particle analysis, strongly coupled plasmas and interpenetrating plasma sheaths of laser produced and compressing (pinching) plasmas.
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