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Spin diffusion from an inhomogeneous quench in an integrable system
Open accessAbstract
Generalized hydrodynamics predicts universal ballistic transport in integrable lattice systems when prepared in generic inhomogeneous initial states. However, the ballistic contribution to transport can vanish in systems with additional discrete symmetries. Here we perform large scale numerical simulations of spin dynamics in the anisotropic Heisenberg XXZ spin 1/2 chain starting from an inhomogeneous mixed initial state which is symmetric with respect to a combination of spin reversal and spatial reflection. In the isotropic and easy-axis regimes we find non-ballistic spin transport which we analyse in detail in terms of scaling exponents of the transported magnetization and scaling profiles of the spin density. While in the easy-axis regime we find accurate evidence of normal diffusion, the spin transport in the isotropic case is clearly super-diffusive, with the scaling exponent very close to 2/3, but with universal scaling dynamics which obeys the diffusion equation in nonlinearly scaled time.
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Cites
The density-matrix renormalization group in the age of matrix product states
Schollwöck, U. (2011) · Annals of Physics · doi:10.1016/j.aop.2010.09.012 · Cited by 4,818
Zur Theorie der Metalle: I. Eigenwerte und Eigenfunktionen der linearen Atomkette
Bethe, H. (1931) · Zeitschrift f�r Physik · doi:10.1007/bf01341708 · Cited by 3,768
Quantum simulations with ultracold quantum gases
Bloch, I., Dalibard, J., & Nascimbène, S. (2012) · Nature Physics · doi:10.1038/nphys2259 · Cited by 2,339 · cited 1×
“This theoretical gap is becoming even more apparent with the advancement of experimental methods that are offering us analogue simulation of models beyond the capability of our best theoretical and numerical methods 3,4 .”
Exploring the many-body localization transition in two dimensions
Choi, J.-Y., Hild, S., Zeiher, J., Schauß, P., Rubio-Abadal, A., Yefsah, T., Khemani, V., Huse, D. A., Bloch, I., & Gross, C. (2016) · Science · doi:10.1126/science.aaf8834 · Cited by 979
Cited by
A Universal Operator Growth Hypothesis
Parker, D. E., Cao, X., Avdoshkin, A., Scaffidi, T., & Altman, E. (2019) · Physical Review X · doi:10.1103/physrevx.9.041017 · Cited by 367
Bethe-Boltzmann hydrodynamics and spin transport in the XXZ chain
Bulchandani, V. B., Vasseur, R., Karrasch, C., & Moore, J. E. (2018) · Physical Review B · doi:10.1103/physrevb.97.045407 · Cited by 292
Unitary circuits of finite depth and infinite width from quantum channels
Gopalakrishnan, S., & Lamacraft, A. (2019) · Physical Review B · doi:10.1103/physrevb.100.064309 · Cited by 178
Kardar–Parisi–Zhang universality in a one-dimensional polariton condensate
Fontaine, Q., Squizzato, D., Baboux, F., Amelio, I., Lemaître, A., Morassi, M., Sagnes, I., Le Gratiet, L., Harouri, A., Wouters, M., et al. (2022) · Nature · doi:10.1038/s41586-022-05001-8 · Cited by 119
Metadata
- Authors
- Ljubotina, M., Žnidarič, M., & Prosen, T.
- Venue
- Nature Communications
- Published
- 2017-07-13
- Volume
- 8
- Issue
- 1
- Pages
- 16117-16117
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2588639354
- Cited by
- 309
- References
- 4
- FWCI
- 19.83
- Type
- journal article
- Language
- en
- Open access
- gold
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