Browsing Research publications by Author "Oliva, Maxime"
Now showing items 1-5 of 5
-
Anharmonic quantum mechanical systems do not feature phase space trajectories
Oliva, Maxime; Kakofengitis, Dimitris; Steuernagel, Ole (2018-07-15)Phase space dynamics in classical mechanics is described by transport along trajectories. Anharmonic quantum mechanical systems do not allow for a trajectory-based description of their phase space dynamics. This invalidates ... -
Dynamic shear suppression in quantum phase space
Oliva, Maxime; Steuernagel, Ole (2019-01-18)Classical phase space flow is inviscid. Here we show that in quantum phase space Wigner's probability current J can be effectively viscous. This results in shear suppression in quantum phase space dynamics which enforces ... -
Quantum Kerr oscillators' evolution in phase space : Wigner current, symmetries, shear suppression and special states
Oliva, Maxime; Steuernagel, Ole (2019-03-06)The creation of quantum coherences requires a system to be anharmonic. The simplest such continuous one-dimensional quantum system is the Kerr oscillator. It has a number of interesting symmetries we derive. Its quantum ... -
Structures far below sub-Planck scale in quantum phase-space through superoscillations
Oliva, Maxime; Steuernagel, Ole (2017-05-15)In 2001, Zurek derived the generic minimum scale $a_{Z}$ for the area of structures of Wigner's quantum phase distribution. Here we show by construction, using superoscillatory functions, that the Wigner distribution can ... -
Wigner's representation of quantum mechanics in integral form and its applications
Kakofengitis, Dimitris; Oliva, Maxime; Steuernagel, Ole (2017-02-27)We consider quantum phase space dynamics using the Wigner representation of quantum mechanics. We stress the usefulness of the integral form for the description of Wigner's phase space current~$\bm J$ as an alternative to ...