# Anharmonic quantum mechanical systems do not feature phase space trajectories

@article{Oliva2018AnharmonicQM, title={Anharmonic quantum mechanical systems do not feature phase space trajectories}, author={Maxime Oliva and Dimitris Kakofengitis and Ole Steuernagel}, journal={Physica A: Statistical Mechanics and its Applications}, year={2018} }

## 17 Citations

Joint quantum–classical Hamilton variational principle in the phase space

- PhysicsJournal of Physics A: Mathematical and Theoretical
- 2022

We show that the dynamics of a closed quantum system obeys the Hamilton variational principle. Even though quantum particles lack well-defined trajectories, their evolution in the Husimi…

Dynamic Shear Suppression in Quantum Phase Space.

- PhysicsPhysical review letters
- 2019

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…

A kinetic theory for quantum information transport

- Physics
- 2021

In this work we build a theoretical framework for the transport of information in quantum systems. This is a framework aimed at describing how out of equilibrium open quantum systems move information…

Entropy nonconservation and boundary conditions for Hamiltonian dynamical systems.

- PhysicsPhysical review. E
- 2019

It is shown that the boundary conditions for a tunneling quantum system become the criteria for entropy preservation in the classical limit, highlighting how boundary effects drastically change the nature of a system.

Long-time semiclassical evolution of spinlike systems from Majorana sampling

- PhysicsPhysical Review A
- 2020

We propose an approach to the analysis of the semiclassical evolution of spinlike systems. We show that an appropriate discretization of distributions in classical phase space (in this case the…

Isospectral mapping for quantum systems with energy point spectra to polynomial quantum harmonic oscillators

- Physics, MathematicsPhysics Letters A
- 2021

Semi-Classical Discretization and Long-Time Evolution of Variable Spin Systems

- PhysicsEntropy
- 2021

The semi-classical limit of the generalized SO(3) map is applied for representation of variable-spin systems in a four-dimensional symplectic manifold and one of the classical dynamic variables is “quantized” and a discretized version of the Truncated Wigner Approximation is introduced.

Equivalence of a harmonic oscillator to a free particle and Eisenhart lift

- Physics, MathematicsAnnals of Physics
- 2021

Truncated Wigner approximation as non-positive Kraus map

- PhysicsPhysica Scripta
- 2020

We show that the Truncated Wigner Approximation developed in the flat phase-space is mapped into a Lindblad-type evolution with an indefinite metric in the space of linear operators. As a result, the…

Entropy transfer from a quantum particle to a classical coherent light field

- PhysicsPhysical Review Research
- 2022

In the field of light-matter interactions, it is often assumed that a classical light field that interacts with a quantum particle remains almost unchanged and thus contains nearly no information…

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