Universal, finite temperature, crossover functions of the quantum transition in the Ising chain in a transverse field

Abstract

We consider finite temperature properties of the Ising chain in a transverse field in the vicinity of its zero temperature, second order quantum phase transition. New universal crossover functions for static and dynamic correlators of the ``spin'' operator are obtained. The static results follow from an early lattice computation of McCoy, and a method of analytic continuation in the space of coupling constants. The dynamic results are in the ``renormalized classical'' region and follow from a proposed mapping of the quantum dynamics to the Glauber dynamics of a classical Ising chain.

substantial re-arrangement of presentation, but no additional results

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Cited by in corpus (31)

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• Non-perturbative methodologies for low-dimensional strongly-correlated systems: From non-abelian bosonization to truncated spectrum methods
• Theory of finite temperature crossovers near quantum critical points close to, or above, their upper-critical dimension
• Finite temperature correlations in the one-dimensional quantum Ising model
• New Results for the Correlation Functions of the Ising Model and the Transverse Ising Chain
• Finite-temperature form factors in the free Majorana theory
• Magnetization and dimerization profiles of the cut two-leg spin ladder and spin-1 chain
• Dynamical critical scaling and effective thermalization in quantum quenches: the role of the initial state
• Entanglement crossover close to a quantum critical point
• Universal equilibrium scaling functions at short times after a quench
• Quantum phase transitions of a two-leg bosonic ladder in an artificial gauge field
• Multicritical crossovers near the dilute Bose gas quantum critical point
• Quantum noise spectroscopy of dynamical critical phenomena
• The hydrodynamic theory of dynamical correlation functions in the XX chain
• Effective free-fermionic form factors and the XY spin chain
• Quantum-classical crossover in the spin 1/2 XXZ chain
• Divergent nonlinear response from quasiparticle interactions
• Finite-temperature scaling of spin correlations in an experimental realization of the one-dimensional Ising quantum critical point
• Exact thermal properties of free-fermionic spin chains
• Decoherence in the quantum Ising model with transverse dissipative interaction in the strong coupling regime
• Integral equations and large-time asymptotics for finite-temperature Ising chain correlation functions
• Mobile impurity in a one-dimensional gas at finite temperatures
• Decoherence and relaxation of topological states in extended quantum Ising models
• Nonequilibrium phases and phase transitions of the XY-model
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Spin-orbit coupling and proximity effects in metallic carbon nanotubes
• Dynamical correlation functions in the Ising field theory
• Dynamics and transport near quantum-critical points