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Dynamics at the many-body localization transition
Open accessAbstract
The isolated one-dimensional Heisenberg model with static random magnetic fields has become paradigmatic for the analysis of many-body localization. Here, we study the dynamics of this system initially prepared in a highly-excited nonstationary state. Our focus is on the probability for finding the initial state later in time, the so-called survival probability. Two distinct behaviors are identified before equilibration. At short times, the decay is very fast and equivalent to that of clean systems. It subsequently slows down and develops a power-law behavior with an exponent that coincides with the multifractal dimension of the eigenstates.
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Cites
Absence of Diffusion in Certain Random Lattices
Anderson, P. W. (1958) · Physical Review · doi:10.1103/physrev.109.1492 · Cited by 12,468
Cited by
Quantum chaos and thermalization in isolated systems of interacting particles
Borgonovi, F., Izrailev, F. M., Santos, L. F., & Zelevinsky, V. G. (2016) · Physics Reports · doi:10.1016/j.physrep.2016.02.005 · Cited by 386
Self-citationThe ergodic side of the many‐body localization transition
Luitz, D. J., & Lev, Y. B. (2017) · Annalen der Physik · doi:10.1002/andp.201600350 · Cited by 308
Lüschen, H. P., Bordia, P., Scherg, S., Alet, F., Altman, E., Schneider, U., & Bloch, I. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.260401 · Cited by 283
Nonexponential quantum decay under environmental decoherence
Beau, M., Kiukas, J., Egusquiza, I. L., & del Campo, A. (2017) · Physical Review Letters · doi:10.1103/physrevlett.119.130401 · Cited by 70
Power-law decay exponents: A dynamical criterion for predicting thermalization
Távora, M., Torres-Herrera, E. J., & Santos, L. F. (2017) · Physical Review A · doi:10.1103/physreva.95.013604 · Cited by 53
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Metadata
- Authors
- Torres-Herrera, E. J., & Santos, L. F.
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2015-07-24
- Volume
- 92
- Issue
- 1
- ISSN
- 1098-0121 (ISSN-L)
- 1550-235X
- OpenAlex
- W1718611134
- Cited by
- 167
- References
- 1
- FWCI
- 12.57
- Type
- journal article
- Language
- en
- Open access
- green
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