Low temperature relaxational dynamics of the Ising chain in a transverse field

Abstract

We present asymptotically exact results for the real time order parameter correlations of a class of d=1 Ising models in a transverse field at low temperatures (T) on both sides of the quantum critical point. The correlations are a product of a T-independent factor determined by quantum effects, and a T-dependent relaxation function which comes from a classical theory. We confirm our predictions by a no-free-parameter comparison with numerical studies on the nearest neighbor spin-1/2 model.

Final version to be published in Physical Review Letters. The postscript file is also available by anonymous ftp at ftp://chopin.ucsc.edu/pub/dynamics.ps.gz

References in corpus (5)

• Quantum Inverse Scattering Method and Correlation Functions
• A Numerical Study of the Random Transverse-Field Ising Spin Chain
• Finite temperature correlations in the one-dimensional quantum Ising model
• Gaussian, exponential, and power-law decay of time-dependent correlation functions in quantum spin chains
• Universal, finite temperature, crossover functions of the quantum transition in the Ising chain in a transverse field

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