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| Hauptseite > Publikationsdatenbank > Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum |
| Hauptseite > Publikationsdatenbank > Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum |
| Journal Article | FZJ-2019-04934 |
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2019
Inst.
Woodbury, NY
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Please use a persistent id in citations: http://hdl.handle.net/2128/23085 doi:10.1103/PhysRevB.99.144422
Abstract: The dynamics of magnetization and energy densities are studied in the two-leg spin-1/2 ladder. Usingan efficient pure-state approach based on the concept of typicality, we calculate spatiotemporal correlationfunctions for large systems with up to 40 lattice sites. In addition, two subsequent Fourier transforms fromreal to momentum space as well as from the time to frequency domain yield the respective dynamical structurefactors. Summarizing our main results, we unveil the existence of genuine diffusion for both spin and energy. Inparticular, this finding is based on four distinct signatures which can all be equally well detected: (i) Gaussiandensity profiles, (ii) time-independent diffusion coefficients, (iii) exponentially decaying density modes, and (iv)Lorentzian line shapes of the dynamical structure factor. The combination of (i)–(iv) provides a comprehensivepicture of high-temperature dynamics in this archetypal nonintegrable quantum model.
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