Effective free-fermionic form factors and the XY spin chain
arXiv:2012.02079 · doi:10.21468/SciPostPhys.10.3.070
Abstract
We introduce effective form factors for one-dimensional lattice fermions with arbitrary phase shifts. We study tau functions defined as series of these form factors. On the one hand we perform the exact summation and present tau functions as Fredholm determinants in the thermodynamic limit. On the other hand simple expressions of form factors allow us to present the corresponding series as integrals of elementary functions. Using this approach we re-derive the asymptotics of static correlation functions of the XY quantum chain at finite temperature.
References in corpus (14)
- Quantum Quench in the Transverse Field Ising Chain
- Universal theory of nonlinear Luttinger liquids
- Quantum Quench in the Transverse Field Ising Chain II: Stationary State Properties
- Form factor expansion for thermal correlators
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Analytical expression for a post-quench time evolution of the one-body density matrix of one-dimensional hard-core bosons
- Impurity Green's function of a one-dimensional Fermi-gas
- Finite-Temperature Form Factors: a Review
- Density form factors of the 1D Bose gas for finite entropy states
- One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
- Form-factors in the Baxter-Bazhanov-Stroganov model II: Ising model on the finite lattice
- Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
- Finite-lattice form factors in free-fermion models
- Ising correlations and elliptic determinants