Exactly solvable one-dimensional quantum models with gamma matrices.
basic_science · Level V
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- Record sourced from PubMed, PMID 36109917.
- Also identified by DOI 10.1103/PhysRevE.106.024114.
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Abstract
In this paper we write exactly solvable generalizations of one-dimensional quantum XY and Ising-like models by using 2^{d}-dimensional gamma matrices as the degrees of freedom on each site. We show that these models result in quadratic Fermionic Hamiltonians with Jordan-Wigner-like transformations. We illustrate the techniques using a specific case of four-dimensional gamma matrices and explore the quantum phase transitions present in the model.