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…
References
SHOWING 1-10 OF 119 REFERENCES
Wigner flow reveals topological order in quantum phase space dynamics.
- PhysicsPhysical review letters
- 2013
The flow that is the quantum analog of classical particle flow along phase portrait lines is identified, which reveals hidden features of quantum dynamics and extra complexity and reveals fundamental topological order in quantum dynamics that has so far gone unnoticed.
Tunneling Dynamics Using Classical-like Trajectories with an Effective Quantum Force
- Physics
- 2013
We develop an effective quantum force to propagate trajectories in Wigner phase space. In this way, the quantum entanglement between trajectories is represented by the effective quantum force, which…
Simulation of quantum processes using entangled trajectory molecular dynamics
- Physics
- 2003
In this paper, we describe a new method for simulating quantum processes using classical-like molecular dynamics. The approach is based on solving the quantum Liouville equation in the Wigner…
Quantum tunneling using entangled classical trajectories.
- PhysicsPhysical review letters
- 2001
A new method for simulating quantum processes in the context of classical molecular dynamics simulations based on solving numerically the quantum Liouville equation in the Wigner representation using ensembles of classical trajectories yields excellent agreement with exact quantum calculations.
Phase Space Descriptions of Quantum Phenomena
- Mathematics
- 2003
In this paper we show the deep connection between the WignerMoyal approach and the Bohm approach to quantum mechanics. We point out that the key equations used in the Bohm approach were already…
Time-dependent quantum-mechanical methods for molecular dynamics
- Physics
- 1988
The basic framework of time-dependent quantum-mechanical methods for molecular dynamics calculations is described. The central problem addressed by computational methods is a discrete representation…
Quantum collision theory with phase-space distributions
- Physics
- 1983
Quantum-mechanical phase-space distributions, introduced by Wigner in 1932, provide an intuitive alternative to the usual wave-function approach to problems in scattering and reaction theory. The aim…
Quantum mechanics as a statistical theory
- Physics
- 1949
An attempt is made to interpret quantum mechanics as a statistical theory, or more exactly as a form of non-deterministic statistical dynamics. The paper falls into three parts. In the first, the…
Evolution of classical and quantum phase-space distributions: A new trajectory approach for phase space hydrodynamics
- Physics
- 2003
Recently, Donoso and Martens described a method for evolving both classical and quantum phase-space distribution functions, W(q,p,t), that involves the propagation of an ensemble of correlated…