scholarly journals An Informationally Complete Wigner Function For The Tavis-Cummings Model: Visualization of Cat Swapping and Quantum Correlations in Field-Many Atom Systems

2021 ◽  
Author(s):  
Russell Rundle ◽  
Mark J Everitt
Keyword(s):  
Wigner Function ◽  
Quantum Correlations ◽  
Function Approach ◽  
Field Mode ◽  
Single Field ◽  
Model Visualization

Abstract Here we consider an informationally complete Wigner function approach to look at multiple atoms (qubits) coupled to a field mode. We consider the Tavis-Cummings interaction between a single field mode with two qubits and then with five

scholarly journals COVARIANT WIGNER FUNCTION APPROACH TO THE BOLTZMANN EQUATION FOR MIXING FERMIONS IN CURVED SPACE–TIME

2003 ◽  
Vol 18 (24) ◽  
pp. 4469-4484 ◽  
Author(s):  
KAZUHIRO YAMAMOTO
Keyword(s):  
Boltzmann Equation ◽  
Wigner Function ◽  
Gravitational Effect ◽  
Space Time ◽  
Function Approach ◽  
Order Effects ◽  
Relativistic Limit ◽  
Curved Space ◽  
The Boltzmann Equation ◽  
Flavor Oscillation

Based on the covariant Wigner function approach we derive the quantum Boltzmann equation for fermions with flavor mixing in general curved space–time. This work gives a rigorous theoretical framework to investigate the flavor oscillation phenomena taking the gravitational effect into account. It is shown that the Boltzmann equation of the lowest order of the expansion with respect to ℏ reproduces the previous result which was derived in the relativistic limit on the Minkowski background space–time. It is demonstrated that the familiar formula for the vacuum neutrino oscillation can be obtained by solving the Boltzmann equation. Higher order effects of the ℏ-expansion are also briefly discussed.

Quantum dynamics of polaron formation with the Wigner-function approach

2003 ◽  
Vol 68 (12) ◽  
Author(s):  
Carlo Jacoboni ◽  
Rossella Brunetti ◽  
Stefano Monastra
Keyword(s):  
Wigner Function ◽  
Quantum Dynamics ◽  
Function Approach ◽  
Polaron Formation

Wigner-function approach to multiband transport in semiconductors

2002 ◽  
Vol 314 (1-4) ◽  
pp. 104-107 ◽  
Author(s):  
Lucio Demeio ◽  
Luigi Barletti ◽  
Andrea Bertoni ◽  
Paolo Bordone ◽  
Carlo Jacoboni
Keyword(s):  
Wigner Function ◽  
Function Approach

scholarly journals A Wigner Function Approach to Coherence in a Talbot-Lau Interferometer

Atoms ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 18 ◽  
Author(s):  
Eric Imhof ◽  
James Stickney ◽  
Matthew Squires
Keyword(s):  
Wigner Function ◽  
Function Approach

scholarly journals Universal non-Markovianity detection in hybrid open quantum systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Jiří Svozilík ◽  
Raúl Hidalgo-Sacoto ◽  
Ievgen I. Arkhipov
Keyword(s):  
Quantum System ◽  
Wigner Function ◽  
Open Quantum Systems ◽  
Quantum Correlations ◽  
Quantum Systems ◽  
Continuous Variables ◽  
Open Quantum ◽  
Hybrid Quantum Systems

Abstract 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 function, which serves as an indicator of the quantum correlations in any composite quantum systems. It is shown, that the proposed measure can be utilized for any single or multi-partite quantum system, containing any discrete or continuous variables. To demonstrate its power in revealing non-Markovianity in such quantum systems, we additionally consider a few illustrative examples.

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