scholarly journals Dynamical-quantum-cluster approach to two-particle correlation functions in the Hubbard model

2008 ◽  
Vol 77 (20) ◽  
Author(s):  
S. Hochkeppel ◽  
F. F. Assaad ◽  
W. Hanke
Keyword(s):  
Hubbard Model ◽  
Correlation Functions ◽  
Cluster Approach ◽  
Particle Correlation ◽  
Quantum Cluster

scholarly journals Tensor-network Study of Correlation-spreading Dynamics in the Two-dimensional Bose-Hubbard Model

2021 ◽  
Author(s):  
Ryui Kaneko ◽  
Ippei Danshita
Keyword(s):  
Hubbard Model ◽  
Single Particle ◽  
Correlation Functions ◽  
Cold Atoms ◽  
Spatial Dimension ◽  
Two Dimensional ◽  
Particle Correlation ◽  
Time Dynamics ◽  
Density Correlation ◽  
Tensor Network

Abstract Recent developments in analog quantum simulators based on cold atoms and trapped ions call for cross-validating the accuracy of quantum-simulation experiments with use of quantitative numerical methods; however, it is particularly challenging for dynamics of systems with more than one spatial dimension. Here we demonstrate that a tensor-network method running on classical computers is useful for this purpose. We specifically analyze real-time dynamics of the two-dimensional Bose-Hubbard model after a sudden quench starting from the Mott insulator by means of the infinite projected entangled pair state algorithm. Calculated single-particle correlation functions are found to be in good agreement with a recent experiment [Y. Takasu et al., Sci. Adv. 6, eaba9255 (2020)]. By estimating the phase and group velocities from the single-particle and density-density correlation functions, we predict how these velocities vary in the moderate interaction region, which serves as a quantitative benchmark for future experiments.

scholarly journals Quantum cluster approach to the spinful Haldane-Hubbard model

2016 ◽  
Vol 93 (7) ◽  
Author(s):  
Jingxiang Wu ◽  
Jean Paul Latyr Faye ◽  
David Sénéchal ◽  
Joseph Maciejko
Keyword(s):  
Hubbard Model ◽  
Cluster Approach ◽  
Quantum Cluster

PROBING AWAY SIDE JET MODIFICATION WITH THREE PARTICLE CORRELATIONS

2007 ◽  
Vol 16 (07n08) ◽  
pp. 1982-1987
Author(s):  
◽  
N. N. AJITANAND
Keyword(s):  
Spatial Distribution ◽  
Correlation Functions ◽  
Theoretical Models ◽  
The Other ◽  
Experimental Investigations ◽  
Powerful Method ◽  
Particle Correlation ◽  
Low Viscosity ◽  
Jet Modification ◽  
Rhic Data

Recent experimental investigations have focussed on the abnormal spatial distribution of away side jet fragments as signals of significant medium induced effects. A variety of theoretical models including recent string-theory based efforts have supported the notion of Mach Cone like effects in the low viscosity QGP fluid. However, the presence of significant flow fields may deflect the fragmentation direction producing a significantly differing type of jet topology from that of the Mach cone. Three particle correlation functions constitute a powerful method whereby the predominance of one or the other type of mechanism can be differentiated. In this work the use of such an approach will be demonstrated via simulations and the results of its application to RHIC data will be presented.

Microstructure of Water At the Level of Three-particle Correlation Functions As Predicted by Classical Intermolecular Models

2003 ◽  
Vol 29 (1) ◽  
pp. 13-21 ◽  
Author(s):  
Csaba Peltz ◽  
András Baranyai ◽  
Ariel A. Chialvo ◽  
Peter T. Cummings
Keyword(s):  
Correlation Functions ◽  
Particle Correlation

scholarly journals Strongly Intensive Observables in the Model with String Fusion

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 15 ◽  
Author(s):  
Vladimir Vechernin ◽  
Evgeny Andronov
Keyword(s):  
Correlation Functions ◽  
Opposite Sign ◽  
Pair Correlation ◽  
Balance Function ◽  
Pair Correlation Functions ◽  
Particle Correlation ◽  
Collision Centrality ◽  
Different Types ◽  
Charge Sign

We calculate the strongly intensive observables for multiplicities in two rapidity windows in the model with independent identical strings taking into account the charge sign of particles. We express the observables through the string pair correlation functions describing the correlations between the same and opposite sign particles produced in a string decay. We extract these charge-wise string two-particle correlation functions from the ALICE data on the forward-backward correlations and the balance function. Using them we predict the behavior of the charge-wise strongly intensive observables in the model with independent identical strings. We also show that the observable between multiplicities in two acceptance windows separated in rapidity, which is a strongly intensive in the case with independent identical strings, loses this property, when we take into account string fusion effects and a formation of strings of a few different types takes place in a collision. We predict the changes in the behaviour of this observable with energy and collision centrality, arising due to the string fusion phenomena.

Cluster approach to the extended Hubbard model

1981 ◽  
Vol 24 (2) ◽  
pp. 1111-1119 ◽  
Author(s):  
W. N. Mei ◽  
Y. C. Lee
Keyword(s):  
Hubbard Model ◽  
Extended Hubbard Model ◽  
Cluster Approach
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