scholarly journals Two-body mobility edge in the Anderson-Hubbard model in three dimensions: Molecular versus scattering states

2020 ◽  
Vol 2 (3) ◽  
Author(s):  
Filippo Stellin ◽  
Giuliano Orso
Keyword(s):  
Hubbard Model ◽  
Three Dimensions ◽  
Mobility Edge ◽  
Scattering States

scholarly journals Critical Properties of the Half-Filled Hubbard Model in Three Dimensions

2011 ◽  
Vol 107 (25) ◽  
Author(s):  
G. Rohringer ◽  
A. Toschi ◽  
A. Katanin ◽  
K. Held
Keyword(s):  
Hubbard Model ◽  
Three Dimensions ◽  
Critical Properties

scholarly journals Magnetic order in the Hubbard model in three dimensions and the crossover to two dimensions

2013 ◽  
Vol 25 (41) ◽  
pp. 415602 ◽  
Author(s):  
Jie Xu ◽  
Simone Chiesa ◽  
Eric J Walter ◽  
Shiwei Zhang
Keyword(s):  
Hubbard Model ◽  
Magnetic Order ◽  
Two Dimensions ◽  
Three Dimensions

NUMERICAL STUDIES OF MANY ELECTRON SYSTEMS

1990 ◽  
Vol 01 (02n03) ◽  
pp. 215-232
Author(s):  
R. L. SUGAR
Keyword(s):  
Numerical Simulation ◽  
Hubbard Model ◽  
Condensed Matter ◽  
Numerical Algorithms ◽  
Three Dimensions ◽  
Condensed Matter Physics ◽  
Electron Systems ◽  
Numerical Studies

The numerical simulation of many electron systems in condensed matter physics is described. Numerical algorithms are discussed in detail, and results are presented from simulations of the Hubbard model in two and three dimensions.

scholarly journals Energy redistribution and spatiotemporal evolution of correlations after a sudden quench of the Bose-Hubbard model

2020 ◽  
Vol 6 (40) ◽  
pp. eaba9255
Author(s):  
Yosuke Takasu ◽  
Tomoya Yagami ◽  
Hiroto Asaka ◽  
Yoshiaki Fukushima ◽  
Kazuma Nagao ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Three Dimensions ◽  
Nonequilibrium Dynamics ◽  
Many Body ◽  
Energy Redistribution ◽  
Particle Correlation ◽  
Far From Equilibrium ◽  
Quantum Simulator ◽  
The One

An optical lattice quantum simulator is an ideal experimental platform to investigate nonequilibrium dynamics of a quantum many-body system, which is, in general, hard to simulate with classical computers. Here, we use our quantum simulator of the Bose-Hubbard model to study dynamics far from equilibrium after a quantum quench. We successfully confirm the energy conservation law in the one- and three-dimensional systems and extract the propagation velocity of the single-particle correlation in the one- and two-dimensional systems. We corroborate the validity of our quantum simulator through quantitative comparisons between the experiments and the exact numerical calculations in one dimension. In the computationally hard cases of two or three dimensions, by using the quantum-simulation results as references, we examine the performance of a numerical method, namely, the truncated Wigner approximation, revealing its usefulness and limitation. This work constitutes an exemplary case for the usage of analog quantum simulators.

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