Dynamics of N-spins Quantum Ferromagnet with Uniform Exchange: Exact Solution

Details Dynamics of N-spins Quantum Ferromagnet with Uniform Exchange: Exact Solution Dynamics of N-spins Quantum Ferromagnet with Uniform Exchange: Exact Solution

1994-04-28

arxiv.org/abs/cond-mat/9404093v1

Physics

Condensed Matter

6 pages, RevTex 3.0 followed by 2 PostScript figures, Preprint IFUM-467/FT

Scientific paper

The transverse spin autocorrelation function at an arbitrary temperature are calculated rigorously for the system of $N$ uniformly exchanged quantum spins. At large $N$ the correlator in the para-phase is found to have a Gaussian bump at small times and a non vanishing tail at large times. A possible application of those exact results as forming a starting dynamical mean-field approximation for long-range quantum magnets and an accompanied physical picture are discussed.

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