scholarly journals One-particle density matrix characterization of many-body localization

2017 ◽  
Vol 529 (7) ◽  
pp. 1600356 ◽  
Author(s):  
Soumya Bera ◽  
Thomas Martynec ◽  
Henning Schomerus ◽  
Fabian Heidrich-Meisner ◽  
Jens H. Bardarson
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Many Body

scholarly journals One-particle density matrix occupation spectrum of many-body localized states after a global quench

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Talía L. M. Lezama ◽  
Soumya Bera ◽  
Henning Schomerus ◽  
Fabian Heidrich-Meisner ◽  
Jens H. Bardarson
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Localized States ◽  
Many Body

scholarly journals Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
Miroslav Hopjan ◽  
Fabian Heidrich-Meisner ◽  
Vincenzo Alba
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Many Body ◽  
Scaling Properties

Density cumulant functional theory: The DC-12 method, an improved description of the one-particle density matrix

2013 ◽  
Vol 138 (2) ◽  
pp. 024107 ◽  
Author(s):  
Alexander Yu. Sokolov ◽  
Andrew C. Simmonett ◽  
Henry F. Schaefer
Keyword(s):  
Density Matrix ◽  
Particle Density ◽  
Functional Theory ◽  
The One

A SOLVABLE MODEL OF INTERACTING MANY BODY SYSTEMS EXHIBITING A BREAKDOWN OF THE BOLTZMANN EQUATION

2014 ◽  
Vol 28 (03) ◽  
pp. 1450046
Author(s):  
B. H. J. McKELLAR
Keyword(s):  
Boltzmann Equation ◽  
Time Dependence ◽  
Single Particle ◽  
Density Operator ◽  
Particle Density ◽  
Solvable Model ◽  
Many Body ◽  
Single Particle Density ◽  
The Boltzmann Equation ◽  
Many Body Systems

In a particular exactly solvable model of an interacting system, the Boltzmann equation predicts a constant single particle density operator, whereas the exact solution gives a single particle density operator with a nontrivial time dependence. All of the time dependence of the single particle density operator is generated by the correlations.

Improvement in Precision, Accuracy, and Efficiency in Standardizing the Characterization of Granular Materials

2013 ◽  
Author(s):  
J. R. Tucker ◽  
L. J. Shadle ◽  
S. Benyahia ◽  
J. Mei ◽  
C. Guenther ◽  
...  
Keyword(s):  
Particle Size ◽  
Distribution Density ◽  
Particle Density ◽  
Solid Particles ◽  
Minimum Fluidization Velocity ◽  
Void Fractions ◽  
Multiphase Systems ◽  
Precision And Accuracy ◽  
Accuracy And Repeatability

Useful prediction of the kinematics, dynamics, and chemistry of a system relies on precision and accuracy in the quantification of component properties, operating mechanisms, and collected data. In an attempt to emphasize, rather than gloss over, the benefit of proper characterization to fundamental investigations of multiphase systems incorporating solid particles, a set of procedures were developed and implemented for the purpose of providing a revised methodology having the desirable attributes of reduced uncertainty, expanded relevance and detail, and higher throughput. Better, faster, cheaper characterization of multiphase systems result. Methodologies are presented to characterize particle size, shape, size distribution, density (particle, skeletal and bulk), minimum fluidization velocity, void fraction, particle porosity, and assignment within the Geldart Classification. A novel form of the Ergun equation was used to determine the bulk void fractions and particle density. Accuracy of properties-characterization methodology was validated on materials of known properties prior to testing materials of unknown properties. Several of the standard present-day techniques were scrutinized and improved upon where appropriate. Validity, accuracy, and repeatability were assessed for the procedures presented and deemed higher than present-day techniques. A database of over seventy materials has been developed to assist in model validation efforts and future designs.

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