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Open Quantum Systems Decoherence
Quantum Simulation
On the application of Jucys-Murphy operators in the Hubbard model
arXiv
Authors: Dorota Jakubczyk, Paweł Jakubczyk, Yevgen Kravets
Year
2014
Paper ID
47438
Status
Preprint
Abstract Read
~2 min
Abstract Words
86
Citations
N/A
Abstract
The operator techniques based on the Jucys-Murphy operators were applied in the procedure of an immediate diagonalization of the one-dimensional Hubbard model. The Young orthogonal basis was given by the irreducible basis of the symmetric group acting on the set of nodes of the magnetic chain. The example of the attractive Hubbard model at the half-filled magnetic rings case was considered where the group SU(2)times SU(2) acts within the spin and pseudo-spin space. These techniques significantly reduced size of the eigenproblem of the Hubbard Hamiltonian.
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- The operator techniques based on the Jucys-Murphy operators were applied in the procedure of an immediate diagonalization of the one-dimensional Hubbard model.
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