scholarly journals Disorder-controlled relaxation in a three-dimensional Hubbard model quantum simulator

2021 ◽  
Vol 3 (1) ◽  
Author(s):  
W. Morong ◽  
S. R. Muleady ◽  
I. Kimchi ◽  
W. Xu ◽  
R. M. Nandkishore ◽  
...  
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Quantum Simulator

scholarly journals Quantum critical dynamics in a spinor Hubbard model quantum simulator

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Jared O. Austin ◽  
Zihe Chen ◽  
Zachary N. Shaw ◽  
Khan W. Mahmud ◽  
Yingmei Liu
Keyword(s):  
Phase Transitions ◽  
Hubbard Model ◽  
Quantum Phase Transitions ◽  
Three Dimensional ◽  
Quantum Phase ◽  
Critical Dynamics ◽  
Scaling Effects ◽  
Many Body ◽  
Quantum Simulator ◽  
Quantum Critical

AbstractThree-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body dynamics can be efficiently studied in a 3D spinor Bose–Hubbard model quantum simulator, consisting of antiferromagnetic spinor Bose–Einstein condensates confined in cubic optical lattices. We find dynamics and scaling effects beyond the scope of existing theories at superfluid–insulator quantum phase transitions, and highlight spin populations as a good observable to probe the quantum critical dynamics. Our data indicate that the scaling exponents are independent of the nature of the quantum phase transitions. We also conduct numerical simulations in lower dimensions using time-dependent Gutzwiller approximations, which qualitatively describe our observations.

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.

scholarly journals Spectral properties of the three-dimensional Hubbard model

2011 ◽  
Vol 83 (23) ◽  
Author(s):  
Sebastian Fuchs ◽  
Emanuel Gull ◽  
Matthias Troyer ◽  
Mark Jarrell ◽  
Thomas Pruschke
Keyword(s):  
Hubbard Model ◽  
Spectral Properties ◽  
Three Dimensional

scholarly journals One-particle spectral weight of the three-dimensional single-band Hubbard model

1996 ◽  
Vol 54 (23) ◽  
pp. 16523-16532 ◽  
Author(s):  
M. Ulmke ◽  
R. T. Scalettar ◽  
A. Nazarenko ◽  
E. Dagotto
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Spectral Weight ◽  
Single Band

REENTRANT CHARGE ORDERING BEHAVIOUR IN THE EXTENDED HUBBARD MODEL

2001 ◽  
Vol 15 (26) ◽  
pp. 1217-1224 ◽  
Author(s):  
ANH TUAN HOANG
Keyword(s):  
Hubbard Model ◽  
Three Dimensional ◽  
Charge Ordering ◽  
Coherent Potential Approximation ◽  
Coulomb Energy ◽  
Extended Hubbard Model ◽  
Potential Approximation ◽  
Ordering Transition

We study the charge ordering behavior in a three-dimensional extended Hubbard model using the Coherent potential approximation (CPA). It is shown that the charge ordering transition occurs due to the competition between kinetic and Coulomb energy. At various band fillings a simple reentrant behavior of the charge ordering transition is found.

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