77 research outputs found
Microscopic theory of quantum dot interactions with quantum light: local field effect
A theory of both linear and nonlinear electromagnetic response of a single QD
exposed to quantum light, accounting the depolarization induced local--field
has been developed. Based on the microscopic Hamiltonian accounting for the
electron--hole exchange interaction, an effective two--body Hamiltonian has
been derived and expressed in terms of the incident electric field, with a
separate term describing the QD depolarization. The quantum equations of motion
have been formulated and solved with the Hamiltonian for various types of the
QD excitation, such as Fock qubit, coherent fields, vacuum state of
electromagnetic field and light with arbitrary photonic state distribution. For
a QD exposed to coherent light, we predict the appearance of two oscillatory
regimes in the Rabi effect separated by the bifurcation. In the first regime,
the standard collapse--revivals phenomenon do not reveal itself and the QD
population inversion is found to be negative, while in the second one, the
collapse--revivals picture is found to be strongly distorted as compared with
that predicted by the standard Jaynes-Cummings model. %The model developed can
easily be extended to %%electromagnetic excitation. For the case of QD
interaction with arbitrary quantum light state in the linear regime, it has
been shown that the local field induce a fine structure of the absorbtion
spectrum. Instead of a single line with frequency corresponding to which the
exciton transition frequency, a duplet is appeared with one component shifted
by the amount of the local field coupling parameter. It has been demonstrated
the strong light--mater coupling regime arises in the weak-field limit. A
physical interpretation of the predicted effects has been proposed.Comment: 14 pages, 7 figure
Vacuum-field Rabi oscillations in atomically doped carbon nanotubes
We report a strictly non-exponential spontaneous decay dynamics of an excited
two-level atom placed inside or at different distances outside a carbon
nanotube. This is the result of strong non-Markovian memory effects arising
from the rapid frequency variation of the photonic density of states near the
nanotube. The system exhibits vacuum-field Rabi oscillations when the atom is
close enough to the nanotube surface and the atomic transition frequency is in
the vicinity of the resonance of the photonic density of states.Comment: 4 pages, 2 figure
Beyond Kinetic Relations
We introduce the concept of kinetic equations representing a natural
extension of the more conventional notion of a kinetic relation. Algebraic
kinetic relations, widely used to model dynamics of dislocations, cracks and
phase boundaries, link the instantaneous value of the velocity of a defect with
an instantaneous value of the driving force. The new approach generalizes
kinetic relations by implying a relation between the velocity and the driving
force which is nonlocal in time. To make this relations explicit one needs to
integrate the system of kinetic equations. We illustrate the difference between
kinetic relation and kinetic equations by working out in full detail a
prototypical model of an overdamped defect in a one-dimensional discrete
lattice. We show that the minimal nonlocal kinetic description containing now
an internal time scale is furnished by a system of two ordinary differential
equations coupling the spatial location of defect with another internal
parameter that describes configuration of the core region.Comment: Revised version, 33 pages, 9 figure
A boundary integral method for a dynamic, transient mode I crack problem with viscoelastic cohesive zone
Brittle fracture in a periodic structure with internal potential energy. Spontaneous crack propagation
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