2007/05/31 by A Seel, Alexander Seel, T Bhattacharyya +5
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bose gas #Chain (unit) #Cold Atom Physics and Bose-Einstein Condensates #Limit (mathematics) #Quantum #Quantum limit #Quantum many-body systems #Relation (database) #Scattering #Spin (aerodynamics) #Transfer matrix #cond-mat.stat-mech #hep-th #math-ph #math.MP
paper · pdf · doi:10.1088/1742-5468/2007/08/p08030
published as J. Stat. Mech. (2007) P08030 · continued in 0710.1814 math-ph
openalex publication_date 2007/08/24 · arxiv created 2007/10/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
By considering the one-particle and two-particle scattering data for the spin-½ Heisenberg chain at T = 0 we derive a continuum limit relating the spin chain to the 1D Bose gas. Applying this limit to the quantum transfer matrix approach to the Heisenberg chain we obtain expressions for the correlation functions of the Bose gas at arbitrary temperatures.