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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Explicit Pfaffian Formula for Amplitudes of Fermionic Gaussian Pure States in Arbitrary Pauli Bases

    quant-ph 2025-02 conditional novelty 7.0 of 10

    Fermionic Gaussian pure state amplitudes in arbitrary local Pauli bases are given by an explicit Pfaffian formula plus a recursion for different qubit counts.

  2. 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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