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Emptiness Formation Probability for the One-Dimensional Isotropic XY Model

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arxiv cond-mat/0106062 v2 pith:T4FOAEDG submitted 2001-06-05 cond-mat.stat-mech hep-thnlin.SI

Masahiro Shiroishi , Minoru Takahashi , Yoshihiro Nishiyama This is my paper · ORCID
classification cond-mat.stat-mechhep-thnlin.SI
keywords formationmodelprobabilityemptinessisotropicone-dimensionalanalyticalanti-ferromagnetic
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abstract

We study a correlation function for the one-dimensional isotropic ${XY}$ model (${XX0}$ model), which is called the Emptiness Formation Probability (EFP). It is the probability of the formation of a ferromagnetic string in the anti-ferromagnetic ground state. Using the expression of the EFP as a Toeplitz determinant, we discuss its asymptotic behaviors. We also compare the analytical results with numerical calculations as the density-matrix renormalization group and the quantum Monte-Carlo method.

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  1. Matrix Elements of Fermionic Gaussian Operators in Arbitrary Pauli Bases: A Pfaffian Formula

    quant-ph 2025-06 conditional novelty 5.0 of 10

    Every matrix element of a fermionic Gaussian operator between arbitrary Pauli product states is expressed as a single Pfaffian of a 2L by 2L kernel with explicitly tabulated sign matrices.

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