7 research outputs found
Numerical Optical Centroid Measurements
Optical imaging methods are typically restricted to a resolution of order of
the probing light wavelength by the Rayleigh diffraction limit.
This limit can be circumvented by making use of multiphoton detection of
correlated -photon states, having an effective wavelength . But
the required -photon detection usually renders these schemes impractical. To
overcome this limitation, recently, so-called optical centroid measurements
(OCM) have been proposed which replace the multi-photon detectors by an array
of single-photon detectors. Complementary to the existing approximate
analytical results, we explore the approach using numerical experiments by
sampling and analyzing detection events from the initial state wave function.
This allows us to quantitatively study the approach also beyond the constraints
set by the approximate analytical treatment, to compare different detection
strategies, and to analyze other classes of input states.Comment: 15 pages, 18 figure
Creation, applications and detection of entanglement in quantum optical systems
In this work, three applications aimed at studying or exploiting various aspects of entanglement are considered. In the first project, the entanglement between two atoms inside a multimode resonator is investigated in the presence of retardation. Retardation is associated with the finite time required by a photon to propagate between atoms and cavity boundaries. It is found that retardation affects the atomic populations as well as the entanglement dynamics to a large degree. The second project is a study of entangled states of light to obtain an enhanced resolution. We have simulated optical centroid measurements for spatial resolution enhancement with various types of non-classical input states. By numerically simulating the measurement scheme, we optimize the detection parameters for an experimental implementation and also study the multiphoton absorption required for quantum lithography. The third project uses the scattered light from a resonantly driven correlated system to obtain information about the system. Techniques have been proposed using which in certain detection directions, n-atom correlations can be directly accessed in an experiment via light scattering with a significant count rate. Moreover, such detection of correlations is not limited to a particular spatial geometry but can be utilized for generalized geometries, too
Effect of retardation on the dynamics of entanglement between atoms
The role of retardation in the entanglement dynamics of two distant atoms
interacting with a multi-mode field of a ring cavity is discussed. The
retardation is associated with a finite time required for light to travel
between the atoms located at a finite distance and between the atoms and the
cavity boundaries. We explore features in the concurrence indicative of
retardation and show how these features evolve depending on the initial state
of the system, distance between the atoms and the number of modes to which the
atoms are coupled. In particular, we consider the short-time and the long time
dynamics for both the multi- and sub-wavelength distances between the atoms. It
is found that the retardation effects can qualitatively modify the entanglement
dynamics of the atoms not only at multi- but also at sub-wavelength distances.
We follow the temporal evolution of the concurrence and find that at short
times of the evolution the retardation induces periodic sudden changes of
entanglement. To analyze where the entanglement lies in the space spanned by
the state vectors of the system, we introduce the collective Dicke states of
the atomic system that explicitly account for the sudden changes as a periodic
excitation of the atomic system to the maximally entangled symmetric state. At
long times, the retardation gives rise to periodic beats in the concurrence
that resemble the phenomenon of collapses and revivals in the Jaynes-Cummings
model. In addition, we identify parameter values and initial conditions at
which the atoms remain separable or are entangled without retardation during
the entire evolution time, but exhibit the phenomena of sudden birth and sudden
death of entanglement when the retardation is included.Comment: 16 pages, 14 figure