2020/08/31 by Miłosz Panfil
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Cold Atom Physics and Bose-Einstein Condensates #Correlation #Correlation function (quantum field theory) #Entropy (arrow of time) #Focus (optics) #Integrable system #Quantum #Quantum many-body systems #Thermal #cond-mat.quant-gas #cond-mat.stat-mech
paper · pdf · doi:10.1088/1742-5468/abd30c
published as J. Stat. Mech. (2021) 013108 · 27 pages, 1 figure, revised version
openalex created_date 2020/08/24 · arxiv created 2020/11/13 · openalex publication_date 2021/01/01 · arxiv updated 2021/03/01 · openalex updated_date 2026/08/05
Abstract We consider the problem of computing dynamic correlation functions of quantum integrable models employing the thermodynamic form-factor approach. Specifically, we focus on correlations of local operators that conserve the number of particles and consider the two-particle–hole contribution to their two-point functions. With the method developed being generally applicable to any finite energy and entropy state, our primary focus is on the thermal states. To exemplify this approach, we chose the Lieb–Liniger model and study the leading contribution from two-particle–hole excitations at small momenta to the dynamic density–density correlation function. We also consider analogous contributions to two-point functions of higher local conserved densities and currents present in integrable theories.