19 research outputs found
Conditional entropy and weak fluctuation correlation in nonequilibrium complex systems
The weak correlation between spatiotemporal fluctuations in nonequilibrium
complex systems is shown to govern the fluctuation distribution, maximizing the
conditional entropy associated with such fluctuations. The result is
illustrated in diffusion phenomena observed in living cells. A generic feature
of the weak correlation is briefly mentioned.Comment: 16 pages, no figures. For the proceedings of the 12th International
Conference on Mathematical Modeling in Physical Sciences (August 28-31, 2023,
Belgrade, Serbia
Statistical quantum operation
A generic unital positive operator-valued measure (POVM), which transforms a
given stationary pure state to an arbitrary statistical state with perfect
decoherence, is presented. This allows one to operationally realize
thermalization as a special case. The loss of information due to randomness
generated by the operation is discussed by evaluating the entropy.
Thermalization of the bipartite spin-1/2 system is discussed as an illustrative
example.Comment: 10 pages, no figure
Stationary photon-atom entanglement and flow equation
Stationary photon-atom entanglement is discussed by applying the method of
flow equation to the Jaynes-Cummings model. A nonlocal continuous unitary
transformation is explicitly constructed and the associated positive
operator-valued measures for the photons and atom are obtained. Then, flow of
the entanglement entropy is analyzed. A comment is also made on implementing
the unitary operation in the method of flow equation. This method may offer a
new strategy for quantum-state engineering.Comment: 21 pages, no figure