Corpus ID: 235790676

Information Scrambling with Conservation Laws

@inproceedings{KudlerFlam2021InformationSW,
  title={Information Scrambling with Conservation Laws},
  author={Jonah Kudler-Flam and Raman Sohal and Laimei Nie},
  year={2021}
}
The delocalization or scrambling of quantum information has emerged as a central ingredient in the understanding of thermalization in isolated quantum many-body systems. Recently, significant progress has been made analytically by modeling non-integrable systems as stochastic systems, lacking a Hamiltonian picture, while honest Hamiltonian dynamics are frequently limited to small system sizes due to computational constraints. In this paper, we address this by investigating the role of… Expand

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References

SHOWING 1-10 OF 93 REFERENCES
Towards the fast scrambling conjecture
A bstractMany proposed quantum mechanical models of black holes include highly non-local interactions. The time required for thermalization to occur in such models should reflect the relaxation timesExpand
Operator Hydrodynamics, OTOCs, and Entanglement Growth in Systems without Conservation Laws
Thermalization and scrambling are the subject of much recent study from the perspective of many-body quantum systems with locally bounded Hilbert spaces (`spin chains'), quantum field theory andExpand
Chaos in quantum channels
A bstractWe study chaos and scrambling in unitary channels by considering their entanglement properties as states. Using out-of-time-order correlation functions to diagnose chaos, we characterize theExpand
Entanglement scrambling in 2d conformal field theory
A bstractWe investigate how entanglement spreads in time-dependent states of a 1+1 dimensional conformal field theory (CFT). The results depend qualitatively on the value of the central charge. InExpand
Quantum chaos in the Brownian SYK model with large finite N : OTOCs and tripartite information
Abstract We consider the Brownian SYK model of N interacting Majorana fermions, with random couplings that are taken to vary independently at each time. We study the out-of-time-orderedExpand
Signature of quantum chaos in operator entanglement in 2d CFTs
We study operator entanglement measures of the unitary evolution operators of (1+1)-dimensional conformal field theories (CFTs), aiming to uncover their scrambling and chaotic behaviors. InExpand
Eigenstate thermalization hypothesis.
  • J. M. Deutsch
  • Physics, Medicine
  • Reports on progress in physics. Physical Society
  • 2018
TLDR
A review of the eigenstate thermalization hypothesis (ETH) takes a somewhat intuitive approach as to why it works and how this informs the understanding of many body quantum states. Expand
Symmetry-Resolved Entanglement in Many-Body Systems.
TLDR
The total entanglement entropy, which scales as lnL, is composed of sqrt[lnL] contributions of individual subsystem charge sectors for interacting fermion chains, or even O(L^{0}) contributions when total spin conservation is also accounted for. Expand
Unbounded growth of entanglement in models of many-body localization.
TLDR
The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state, which develops slowly over a diverging time scale as in glassy systems. Expand
Chaos and quantum thermalization.
  • Srednicki
  • Physics, Medicine
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
  • 1994
TLDR
It is shown that a bounded, isolated quantum system of many particles in a specific initial state will approach thermal equilibrium if the energy eigenfunctions which are superposed to form that state obey Berry's conjecture, and argued that these results constitute a sound foundation for quantum statistical mechanics. Expand
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