New phase space formulations and quantum dynamics approaches

X He, B Wu, Y Shang, B Li, X Cheng… - Wiley Interdisciplinary …, 2022 - Wiley Online Library
We report recent progress on the phase space formulation of quantum mechanics with
coordinate‐momentum variables, focusing more on new theory of (weighted) constraint …

Overview of the phase space formulation of quantum mechanics with application to quantum technologies

RP Rundle, MJ Everitt - Advanced Quantum Technologies, 2021 - Wiley Online Library
The phase‐space formulation of quantum mechanics has recently seen increased use in
testing quantum technologies, including methods of tomography for state verification and …

Visualization of correlations in hybrid discrete—continuous variable quantum systems

RP Rundle, BI Davies, VM Dwyer… - Journal of Physics …, 2020 - iopscience.iop.org
In this work we construct Wigner functions for hybrid continuous and discrete variable
quantum systems. We demonstrate new capabilities in the visualization of the interactions …

Relation between the roughness, linear entropy and visibility of a quantum state, the Jaynes–Cummings model

M Reis, AC Oliveira - Journal of Computational Electronics, 2021 - Springer
In this work, an analysis of the Jaynes–Cummings Model is conducted in the parameter
spaces, composed of Roughness, Concurrence/Linear Entropy and Visibility. The analysis …

A Characteristic-Spectral-Mixed Scheme for Six-Dimensional Wigner–Coulomb Dynamics

Y ** and quantum correlations in field–many-atom systems
RP Rundle, MJ Everitt - Journal of Computational Electronics, 2021 - Springer
An informationally complete Wigner function for the Tavis–Cummings model | Journal of
Computational Electronics Skip to main content SpringerLink Account Menu Find a journal …

Negativity volume of the generalized Wigner function in gravitating hybrid system

D Miki, A Matsumura, K Yamamoto - arxiv preprint arxiv:2311.10980, 2023 - arxiv.org
We evaluate the gravity-induced negativity volume of the generalized Wigner function in a
hybrid system consisting of a particle in a two-localized superposition state and an oscillator …

[HTML][HTML] Generalized phase-space techniques to explore quantum phase transitions in critical quantum spin systems

NM Millen, RP Rundle, JH Samson, T Tilma, RF Bishop… - Annals of Physics, 2023 - Elsevier
We apply the generalized Wigner function formalism to detect and characterize a range of
quantum phase transitions in several cyclic, finite-length, spin-1 2 one-dimensional spin …

Universal non-Markovianity detection in hybrid open quantum systems

J Svozilík, R Hidalgo-Sacoto, II Arkhipov - Scientific Reports, 2020 - nature.com
A universal characterization of non-Markovianity for any open hybrid quantum systems is
presented. This formulation is based on the negativity volume of the generalized Wigner …

Overcoming the numerical sign problem in the Wigner dynamics via adaptive particle annihilation

Y **ong, S Shao - SIAM Journal on Scientific Computing, 2024 - SIAM
The infamous numerical sign problem poses a fundamental obstacle to particle-based
stochastic Wigner simulations in high-dimensional phase space. Although the existing …