Dynamical structure factor of the SU(3) Heisenberg chain: Variational Monte Carlo approach

@article{Vrs2021DynamicalSF,
  title={Dynamical structure factor of the SU(3) Heisenberg chain: Variational Monte Carlo approach},
  author={D{\'a}niel V{\"o}r{\"o}s and K. Penc},
  journal={Physical Review B},
  year={2021}
}
We compute the dynamical spin structure factor S(k, ω) of the SU(3) Heisenberg chain variationally using a truncated Hilbert space spanned by the Gutzwiller projected particle-hole excitations of the Fermi sea, introduced in [B. Dalla Piazza et al., Nature Physics 11, 62 (2015)], with a modified importance sampling. We check the reliability of the method by comparing the S(k, ω) to exact diagonalization results for 18 sites and to the two-soliton continuum of the Bethe Ansatz for 72 sites. We… Expand

References

SHOWING 1-10 OF 16 REFERENCES
SU(N) quantum spin models: A variational wavefunction study
SU(N) quantum spin systems may be realized in a variety of physical systems including ultracold atoms in optical lattices. The study of such models also leads to insights into possible novel quantumExpand
DMRG studies of critical SU(N) spin chains
The DMRG method is applied to integrable models of antiferromagnetic spin chains for fundamental and higher representations of SU(2), SU(3), and SU(4). From the low energy spectrum and theExpand
Exact critical exponents for quantum spin chains, non-linear σ-models at θ=π and the quantum hall effect
Abstract We use non-abelian bosonization to predict critical exponents for quantum chains of arbitrary spin and arbitrary symmetry SU( n ). Passing to the large representation limit gives non-linearExpand
Complementary colors of colorons: The elementary excitations of the SU(3) Haldane-Shastry model
We propose two possible trial wave functions for the elementary excitations of the SU(3) Haldane-Shastry model, but then argue on very general grounds that only one or the other can be a validExpand
Fractional excitations in the square lattice quantum antiferromagnet
TLDR
The results establish the existence of fractional quasiparticles in the high-energy spectrum of a quasi-two-dimensional antiferromagnet, even in the absence of frustration. Expand
Exact and Monte Carlo studies of Gutzwiller's state for the localised-electron limit in one dimension
Exact calculations of the spin-spin correlation function qj in the localised-electron limit of Gutzwiller's (1963, 1965) variational approximation to the Hubbard-model group state, for rings withExpand
Spin- and density-resolved microscopy of antiferromagnetic correlations in Fermi-Hubbard chains
TLDR
This work reports on the direct, single-site resolved detection of antiferromagnetic correlations extending up to three sites in spin-1/2 Hubbard chains, which requires entropies per particle well below s* = ln(2). Expand
Observation of antiferromagnetic correlations in the Hubbard model with ultracold atoms
Ultracold atoms in optical lattices have great potential to contribute to a better understanding of some of the most important issues in many-body physics, such as high-temperature superconductivity.Expand
Short-Range Quantum Magnetism of Ultracold Fermions in an Optical Lattice
TLDR
The observation of nearest-neighbor magnetic correlations emerging in the many-body state of a thermalized Fermi gas in an optical lattice facilitates addressing open problems in quantum magnetism through the use of quantum simulation. Expand
Current Algebra and Wess-Zumino Model in Two-Dimensions
We investigate quantum field theory in two dimensions invariant with respect to conformal (Virasoro) and non-abelian current (Kac-Moody) algebras. The Wess-Zumino model is related to the special caseExpand
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