Entropic uncertainty measures for large dimensional hydrogenic systems

Entropic uncertainty measures for large dimensional hydrogenic systems

Heisenberg and Entropic Uncertainty Measures for Large-Dimensional Harmonic Systems

The D-dimensional harmonic system (i.e., a particle moving under the action of a quadratic potential) is, together with the hydrogenic system, the main prototype of the physics of multidimensional quantum systems. In this work, we rigorously determine the leading term of the Heisenberg-like and entropy-like uncertainty measures of this system as given by the radial expectation values and the Ré...

Entropic bounds on semiclassical measures for quantized one-dimensional maps

Quantum ergodicity asserts that almost all infinite sequences of eigenstates of a quantized ergodic system are equidistributed in the phase space. On the other hand, there are might exist exceptional sequences which converge to different (non-Liouville) classical invariant measures μ. By the remarkable result of N. Anantharaman and S. Nonnenmacher math-ph/0610019, arXiv:0704.1564 (with H. Koch)...

Entropic measures of joint uncertainty: effects of lack of majorization

Alfredo Luis, Gustavo Mart́ın Bosyk, and Mariela Portesi Departamento de Óptica, Facultad de Ciencias F́ısicas, Universidad Complutense, 28040 Madrid, Spain Instituto de F́ısica La Plata (IFLP), CONICET, and Departamento de F́ısica, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, Casilla de Correo 67, 1900 La Plata, Argentina Laboratoire Grenoblois d’Image, Parole, Signal et Automat...

Majorization entropic uncertainty relations

Zbigniew Puchała, Łukasz Rudnicki, Karol Życzkowski Institute of Theoretical and Applied Informatics, Polish Academy of Sciences, Bałtycka 5, 44-100 Gliwice, Poland Institute of Physics, Jagiellonian University, ul. Reymonta 4, 30-059 Kraków, Poland Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland Freiburg Insitute for Advanced Studies, Alb...