Observable Many-Body Effects of the Two-Body Unobservable Potential

1972 ◽  
Vol 50 (14) ◽  
pp. 1614-1618 ◽  
Author(s):  
N. N. Wong ◽  
M. Razavy
Keyword(s):  
Perturbation Theory ◽  
Phase Shift ◽  
Nuclear Matter ◽  
Particle Scattering ◽  
Body System ◽  
Many Body ◽  
Many Body Effects ◽  
Transparent Potential ◽  
The Many

A two-body transparent potential, which produces no observable phase shift in two-particle scattering, is constructed explicitly. This potential is used to calculate the energy of infinite nuclear matter by applying the perturbation theory and its effects on the many-body system are investigated.

scholarly journals Using Matrix-Product States for Open Quantum Many-Body Systems: Efficient Algorithms for Markovian and Non-Markovian Time-Evolution

Entropy ◽  
2020 ◽  
Vol 22 (9) ◽  
pp. 984
Author(s):  
Regina Finsterhölzl ◽  
Manuel Katzer ◽  
Andreas Knorr ◽  
Alexander Carmele
Keyword(s):  
Time Evolution ◽  
Nearest Neighbor ◽  
Matrix Product ◽  
Body System ◽  
Many Body ◽  
Initial State ◽  
Matrix Product States ◽  
Open Quantum ◽  
Many Body Systems ◽  
The Many

This paper presents an efficient algorithm for the time evolution of open quantum many-body systems using matrix-product states (MPS) proposing a convenient structure of the MPS-architecture, which exploits the initial state of system and reservoir. By doing so, numerically expensive re-ordering protocols are circumvented. It is applicable to systems with a Markovian type of interaction, where only the present state of the reservoir needs to be taken into account. Its adaption to a non-Markovian type of interaction between the many-body system and the reservoir is demonstrated, where the information backflow from the reservoir needs to be included in the computation. Also, the derivation of the basis in the quantum stochastic Schrödinger picture is shown. As a paradigmatic model, the Heisenberg spin chain with nearest-neighbor interaction is used. It is demonstrated that the algorithm allows for the access of large systems sizes. As an example for a non-Markovian type of interaction, the generation of highly unusual steady states in the many-body system with coherent feedback control is demonstrated for a chain length of N=30.

scholarly journals Quantum many-body effects on Rydberg excitons in cuprous oxide

2021 ◽  
Author(s):  
D. Semkat ◽  
H. Fehske ◽  
H. Stolz
Keyword(s):  
Perturbation Theory ◽  
Oscillator Strength ◽  
Cuprous Oxide ◽  
Many Body ◽  
Electron Hole ◽  
First Order ◽  
Electron Hole Plasma ◽  
Plasma Line ◽  
Many Body Effects ◽  
First Order Perturbation

AbstractWe investigate quantum many-body effects on Rydberg excitons in cuprous oxide induced by the surrounding electron-hole plasma. Line shifts and widths are calculated by full diagonalisation of the plasma Hamiltonian and compared to results in first order perturbation theory, and the oscillator strength of the exciton lines is analysed.

Effects of atomic species and interatomic distance on the interactions in one-dimensional nanomaterials

2019 ◽  
Vol 21 (46) ◽  
pp. 25889-25895
Author(s):  
Yi-Fan Bu ◽  
Ming Zhao ◽  
Yun Chen ◽  
Wang Gao ◽  
Qing Jiang
Keyword(s):  
Interatomic Distance ◽  
Many Body ◽  
One Dimensional ◽  
Atomic Species ◽  
Many Body Effects ◽  
The Many

The many-body effects of vdW interactions within 1D wires vary with the interatomic distance of wires and atomic species.

scholarly journals Surface chemistry effects on work function, ionization potential and electronic affinity of Si(100), Ge(100) surfaces and SiGe heterostructures

2020 ◽  
Vol 22 (44) ◽  
pp. 25593-25605
Author(s):  
Ivan Marri ◽  
Michele Amato ◽  
Matteo Bertocchi ◽  
Andrea Ferretti ◽  
Daniele Varsano ◽  
...  
Keyword(s):  
Perturbation Theory ◽  
Surface Chemistry ◽  
Work Function ◽  
Ionization Potential ◽  
Many Body ◽  
Many Body Perturbation Theory ◽  
The Many ◽  
Electronic Affinity

Surface chemistry effects are calculated within the many body perturbation theory for Si(100), Ge(100) and SiGe surfaces.

scholarly journals Hubbard-Stratonovich-like Transformations for Few-Body Interactions

2018 ◽  
Vol 175 ◽  
pp. 11012
Author(s):  
Christopher Körber ◽  
Evan Berkowitz ◽  
Thomas Luu
Keyword(s):  
Perturbation Theory ◽  
Great Accuracy ◽  
Quantum Systems ◽  
Collective Phenomena ◽  
Many Body ◽  
Chiral Perturbation ◽  
Body Level ◽  
The Many ◽  
Three Body ◽  
Number Of Particles

Through the development of many-body methodology and algorithms, it has become possible to describe quantum systems composed of a large number of particles with great accuracy. Essential to all these methods is the application of auxiliary fields via the Hubbard-Stratonovich transformation. This transformation effectively reduces two-body interactions to interactions of one particle with the auxiliary field, thereby improving the computational scaling of the respective algorithms. The relevance of collective phenomena and interactions grows with the number of particles. For many theories, e.g. Chiral Perturbation Theory, the inclusion of three-body forces has become essential in order to further increase the accuracy on the many-body level. In this proceeding, the an-alytical framework for establishing a Hubbard-Stratonovich-like transformation, which allows for the systematic and controlled inclusion of contact three-and more-body inter-actions, is presented.

The calculation of higher-order energies in the many-body perturbation theory series

1985 ◽  
Vol 113 (1) ◽  
pp. 8-12 ◽  
Author(s):  
P.J. Knowles ◽  
K. Somasundram ◽  
N.C. Handy ◽  
K. Hirao
Keyword(s):  
Perturbation Theory ◽  
Higher Order ◽  
Many Body ◽  
Many Body Perturbation Theory ◽  
The Many ◽  
Theory Series
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