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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations

Lattice fermions with solvable wide range interactions

arXiv
Authors: Ryu Sasaki

Year

2024

Paper ID

38235

Status

Preprint

Abstract Read

~2 min

Abstract Words

136

Citations

N/A

Abstract

Exactly solvable (spinless) lattice fermions with wide range interactions are constructed explicitly based on {\em exactly solvable stationary and reversible Markov chains} mathcal{K}R reported a few years earlier by Odake and myself. The reversibility of mathcal{K}R with the stationary distribution π leads to a positive classical Hamiltonian mathcal{H}R. The exact solvability of mathcal{H}R warrants that of a spinless lattice fermion cx, cxdagger, mathcal{H}Rf=sum_{x,yinmathcal{X}}cxdaggermathcal{H}R(x,y) cy based on the principle advocated recently by myself. The reversible Markov chains mathcal{K}R are constructed by convolutions of the orthogonality measures of the discrete orthogonal polynomials of Askey scheme. Several explicit examples of the fermion systems with wide range interactions are presented.

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  • Exactly solvable (spinless) lattice fermions with wide range interactions are constructed explicitly based on em exactly solvable stationary and reversible Markov chains...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.08467 [2] arXiv https://arxiv.org/abs/2410.08467 [3] Publisher https://arxiv.org/abs/2410.08467

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