This title appears in the Scientific Report :
2019
Please use the identifier:
http://hdl.handle.net/2128/23085 in citations.
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.99.144422 in citations.
Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
Magnetization and energy dynamics in spin ladders: Evidence of diffusion in time, frequency, position, and momentum
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...
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Personal Name(s): | Richter, Jonas |
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Jin, Fengping / Knipschild, Lars / Herbrych, Jacek / De Raedt, Hans / Michielsen, Kristel / Gemmer, Jochen / Steinigeweg, Robin (Corresponding author) | |
Contributing Institute: |
JARA - HPC; JARA-HPC Jülich Supercomputing Center; JSC |
Published in: | Physical Review B Physical review / B, 99 99 (2019 2019) 14 14, S. 144422 144422 |
Imprint: |
Woodbury, NY
Inst.
2019
|
DOI: |
10.1103/PhysRevB.99.144422 |
Document Type: |
Journal Article |
Research Program: |
Manipulation and dynamics of quantum spin systems Computational Science and Mathematical Methods |
Link: |
OpenAccess OpenAccess |
Publikationsportal JuSER |
Please use the identifier: http://dx.doi.org/10.1103/PhysRevB.99.144422 in citations.
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. |