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Browsing by Author "Oliva, Maxime"
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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 ... -
The Quantum Wigner Current: a Geometric Approach to Quantum Dynamics in Phase Space
Oliva, Maxime (2019-05-30)Phase space is the unity of position and momentum configuration space. It allows for an effective description of dynamical systems and is particularly useful when it comes to studying chaos theory and statistical ... -
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 ...