2007/08/02 by K. K. Kozlowski, Karol K. Kozłowski · 16 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Boundary (topology) #Boundary value problem #Chain (unit) #Emptiness #Fermion #Field (mathematics) #Infinity #Massless particle #Mathematical analysis #Mathematical physics #Mathematics #Philosophy #Physics #Pure mathematics #Quantum many-body systems #Quantum mechanics #Spin (aerodynamics) #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1088/1742-5468/2008/02/p02006
published in Journal of Statistical Mechanics Theory and Experiment 2008(02), P02006 (Institute of Physics) · 18 pages
arxiv created 2007/08/02 · openalex publication_date 2008/02/13 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper is devoted to the study of the emptiness formation probability τ( m ) of the open XXZ chain. We derive a closed form for τ( m ) at Δ = 1/2 when the boundary field vanishes. Moreover we obtain its leading asymptotics for an arbitrary boundary field at the free fermion point. Finally, we compute the first term of the asymptotics of ln(τ( m )) for the whole massless regime −1<Δ<1.