Quantum Simulation of the Hubbard Model Using Ultra-Cold Atoms

2008 ◽  
Author(s):  
Kenneth M. O'Hara
Keyword(s):  
Hubbard Model ◽  
Cold Atoms ◽  
Quantum Simulation

scholarly journals Quantum simulation of disordered systems with cold atoms

2017 ◽  
Vol 18 (1) ◽  
pp. 31-46 ◽  
Author(s):  
Jean-Claude Garreau
Keyword(s):  
Disordered Systems ◽  
Cold Atoms ◽  
Quantum Simulation

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 simulation of the Hubbard model: The attractive route

2009 ◽  
Vol 79 (3) ◽  
Author(s):  
A. F. Ho ◽  
M. A. Cazalilla ◽  
T. Giamarchi
Keyword(s):  
Hubbard Model ◽  
Quantum Simulation

scholarly journals Quantum simulation of the Hubbard model with ultracold fermions in optical lattices

2018 ◽  
Vol 19 (6) ◽  
pp. 365-393 ◽  
Author(s):  
Leticia Tarruell ◽  
Laurent Sanchez-Palencia
Keyword(s):  
Hubbard Model ◽  
Optical Lattices ◽  
Quantum Simulation

scholarly journals Imaging the Holon string of the Hubbard model

2020 ◽  
Vol 117 (42) ◽  
pp. 26141-26144
Author(s):  
Tin-Lun Ho
Keyword(s):  
Hubbard Model ◽  
Atomic Physics ◽  
Ground State ◽  
Condensed Matter ◽  
Quantum Simulation ◽  
Condensed Matter Physics ◽  
Two Dimensional ◽  
Ground State Wavefunction ◽  
Half Filling ◽  
Strong Repulsion

It has been a long-sought goal of quantum simulation to find answers to outstanding questions in condensed-matter physics. A famous example is finding the ground state and the excitations of the two-dimensional (2D) Hubbard model with strong repulsion below half-filling. This system is a doped antiferromagnet and is of great interest because of its possible relation to high-Tcsuperconductors. Theoretically, the fermion excitations of this model are believed to split up into holons and spinons, and a moving holon is believed to leave behind it a string of “wrong” spins that mismatch with the antiferromagnetic background. Here, we show that the properties of the ground-state wavefunction and the holon excitation of the 2D Hubbard model can be revealed in unprecedented detail by using the imaging and the interference technique in atomic physics. They allow one to reveal the Marshall sign of the doped antiferromagnet. The region of wrong Marshall sign indicates the location of the holon string.

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