scholarly journals Criterion for the occurrence of many-body localization in the presence of a single-particle mobility edge

2018 ◽  
Vol 97 (10) ◽  
Author(s):  
Ranjan Modak ◽  
Soumi Ghosh ◽  
Subroto Mukerjee
Keyword(s):  
Single Particle ◽  
Many Body ◽  
Mobility Edge ◽  
Particle Mobility

scholarly journals Many-Body Localization and Quantum Nonergodicity in a Model with a Single-Particle Mobility Edge

2015 ◽  
Vol 115 (18) ◽  
Author(s):  
Xiaopeng Li ◽  
Sriram Ganeshan ◽  
J. H. Pixley ◽  
S. Das Sarma
Keyword(s):  
Single Particle ◽  
Many Body ◽  
Mobility Edge ◽  
Particle Mobility

scholarly journals Observation of Many-Body Localization in a One-Dimensional System with a Single-Particle Mobility Edge

2019 ◽  
Vol 122 (17) ◽  
Author(s):  
Thomas Kohlert ◽  
Sebastian Scherg ◽  
Xiao Li ◽  
Henrik P. Lüschen ◽  
Sankar Das Sarma ◽  
...  
Keyword(s):  
Single Particle ◽  
Dimensional System ◽  
Many Body ◽  
Mobility Edge ◽  
One Dimensional ◽  
Particle Mobility

scholarly journals Single-Particle Mobility Edge in a One-Dimensional Quasiperiodic Optical Lattice

2018 ◽  
Vol 120 (16) ◽  
Author(s):  
Henrik P. Lüschen ◽  
Sebastian Scherg ◽  
Thomas Kohlert ◽  
Michael Schreiber ◽  
Pranjal Bordia ◽  
...  
Keyword(s):  
Single Particle ◽  
Optical Lattice ◽  
Mobility Edge ◽  
One Dimensional ◽  
Particle Mobility

scholarly journals Quantum nonergodicity and fermion localization in a system with a single-particle mobility edge

2016 ◽  
Vol 93 (18) ◽  
Author(s):  
Xiaopeng Li ◽  
J. H. Pixley ◽  
Dong-Ling Deng ◽  
Sriram Ganeshan ◽  
S. Das Sarma
Keyword(s):  
Single Particle ◽  
Mobility Edge ◽  
Particle Mobility ◽  
Fermion Localization

QLB for Quantum Many-Body and Quantum Field Theory

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Computing ◽  
Single Particle ◽  
Body Problem ◽  
Three Dimensions ◽  
Quantum Field ◽  
Many Body ◽  
Quantum Particles

Chapter 32 expounded the basic theory of quantum LB for the case of relativistic and non-relativistic wavefunctions, namely single-particle quantum mechanics. This chapter goes on to cover extensions of the quantum LB formalism to the overly challenging arena of quantum many-body problems and quantum field theory, along with an appraisal of prospective quantum computing implementations. Solving the single particle Schrodinger, or Dirac, equation in three dimensions is a computationally demanding task. This task, however, pales in front of the ordeal of solving the Schrodinger equation for the quantum many-body problem, namely a collection of many quantum particles, typically nuclei and electrons in a given atom or molecule.

scholarly journals Feynman diagrams and rooted maps

Open Physics ◽  
2018 ◽  
Vol 16 (1) ◽  
pp. 149-167 ◽  
Author(s):  
Andrea Prunotto ◽  
Wanda Maria Alberico ◽  
Piotr Czerski
Keyword(s):  
Single Particle ◽  
Feynman Diagram ◽  
Feynman Diagrams ◽  
Topological Properties ◽  
Many Body ◽  
Perturbative Order ◽  
Original Definition ◽  
Many Body Systems ◽  
Definition Of ◽  
Particle Propagator

Abstract The rooted maps theory, a branch of the theory of homology, is shown to be a powerful tool for investigating the topological properties of Feynman diagrams, related to the single particle propagator in the quantum many-body systems. The numerical correspondence between the number of this class of Feynman diagrams as a function of perturbative order and the number of rooted maps as a function of the number of edges is studied. A graphical procedure to associate Feynman diagrams and rooted maps is then stated. Finally, starting from rooted maps principles, an original definition of the genus of a Feynman diagram, which totally differs from the usual one, is given.

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