The One-Dimensional Hubbard Model

By Yupeng Wang, Wen-Li Yang, Junpeng Cao, K. Shi. 2015

486 citations recorded by the source corpus.

Subfields: Condensed Matter Physics, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/63e586444b27fd1105eea70dd4c4d30ef0e98c2b

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Citations in the corpus

Dynamical quantum phase transitions and the Loschmidt echo: A transfer matrix approach (2013, background): “48,49 In addition, it has been recently shown that in the critical regime, − 1 ∆ 1 , a set of quasilocal conserved charges exist.”
Variational optimization algorithms for uniform matrix product states (2017, methodology): “40,41 Finally, as an example for an exactly solvable model with (algebraically decaying) long range interactions we consider the Haldane-Shastry model 42,43 (31) where X , Y and Z are again spin S = 1 / 2 representations of the generators of SU (2).”
Entanglement dynamics after quantum quenches in generic integrable systems (2017, methodology): “(Here we focus on models with an “elementary” Bethe ansatz; there are models with more than one type of rapidities leading to the so-called nested Bethe ansatz [110]; in that case the modification of (4) is straightforward because one has just to perform a further sum on the types of the rapidities,”
TT¯-deformed 2D quantum field theories (2016, background): “The study of integrable models has a long history scattered with many significant achievements, including a deeper understanding of phase transitions and other non-perturbative properties of interacting statistical mechanical systems, the study of important low dimensional condensed matter models [1”
What is an integrable quench (2017, methodology): “The analytical description of this model is significantly more involved as it requires a nested Bethe ansatz treatment [5].”
Practical quantum advantage in quantum simulation (2022, background): “Although in one dimension the Hubbard model is exactly solvable 112 , in two dimensions it has been a long-term challenge to find even the lowest-energy states of this model, although a lot of recent progress has been made 40,41 .”
Quantum Many-Body Scars: A Quasiparticle Perspective (2022, methodology): “More elaborate are “interacting integrable” models, such as low-dimensional models soluble by the Bethe ansatz (4, 5, 6, 7), where particles scatter without decaying.”
Fermi gases in one dimension: From Bethe ansatz to experiments (2013, methodology): “The low energy spectrum can be interpreted in terms of a product of κ independent Virasoro algebras with the same central charge C = 1. For vanishing magnetic field, the spin velocities are equal. Thus we have a spin-charge separation of the C = 1 Gaussian field theory (in the charge sector with U(1”