397 research outputs found
Coherence vortices in one spatial dimension
Coherence vortices are screw-type topological defects in the phase of
Glauber's two-point degree of quantum coherence, associated with pairs of
spatial points at which an ensemble-averaged stochastic quantum field is
uncorrelated. Coherence vortices may be present in systems whose dimensionality
is too low to support spatial vortices. We exhibit lattices of such
quantum-coherence phase defects for a one-dimensional model quantum system. We
discuss the physical meaning of coherence vortices and propose how they may be
realized experimentally.Comment: 5 pages, 3 figure
On the noise-resolution duality, Heisenberg uncertainty and Shannon's information
Several variations of the Heisenberg uncertainty inequality are derived on
the basis of "noise-resolution duality" recently proposed by the authors. The
same approach leads to a related inequality that provides an upper limit for
the information capacity of imaging systems in terms of the number of imaging
quanta (particles) used in the experiment. These results can be useful in the
context of biomedical imaging constrained by the radiation dose delivered to
the sample, or in imaging (e.g. astronomical) problems under "low light"
conditions
Inferring the time-dependent complex Ginzburg-Landau equation from modulus data
We present a formalism for inferring the equation of evolution of a complex
wave field that is known to obey an otherwise unspecified (2+1)-dimensional
time-dependent complex Ginzburg-Landau equation, given field moduli over three
closely-spaced planes. The phase of the complex wave field is retrieved via a
non-interferometric method, and all terms in the equation of evolution are
determined using only the magnitude of the complex wave field. The formalism is
tested using simulated data for a generalized nonlinear system with a
single-component complex wave field. The method can be generalized to
multi-component complex fields.Comment: 9 pages, 9 figure
- …