Low-temperature asymptotics of integrable systems in an external field

Abstract

An asymptotic low-temperature expansion is performed for an integrable bosonic lattice model and for the critical spin-1/2 Heisenberg chain in a magnetic field. The results apply to the integrable Bose gas as well. We also comment on a high-temperature expansion of the bosonic lattice model.

17 pages, 2 figures

References in corpus (15)

• Bosonizing one-dimensional cold atomic gases
• The dynamical spin structure factor for the anisotropic spin-1/2 Heisenberg chain
• Low energy effective Hamiltonian for the XXZ spin chain
• The spin-1/2 Heisenberg chain: thermodynamics, quantum criticality and spin-Peierls exponents
• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• Thermodynamics of the Spin-1/2 Antiferromagnetic Uniform Heisenberg Chain
• Correlation functions for a strongly correlated boson system
• Integrability of quantum chains: theory and applications to the spin-1/2 $XXZ$ chain
• Exact thermodynamics and Luttinger liquid properties of the integrable t-J model
• On the Hopf algebraic origin of Wick normal-ordering
• Takahashi Integral Equation and High-Temperature Expansion of the Heisenberg Chain
• Nonlinear integral equations for thermodynamics of the sl(r+1) Uimin-Sutherland model
• Correlators of the phase model
• The q-deformed Bose gas: Integrability and thermodynamics
• Finite temperature Drude weight of an integrable Bose chain

Cited by in corpus (8)

• Bethe Ansatz for 1D interacting anyons
• A quantum mechanical model of the Riemann zeros
• Non-crossing Brownian paths and Dyson Brownian motion under a moving boundary
• The Riemann zeros as energy levels of a Dirac fermion in a potential built from the prime numbers in Rindler spacetime
• General covariant xp models and the Riemann zeros
• Multipole characteristics of the open-shell electron eigenstates
• Singularity Structure and Stability Analysis of the Dirac Equation on the Boundary of the Nutku Helicoid Solution
• The limits of the total crystal-field splittings