Universal dynamics and renormalization in many body localized systems

By E. Altman, Ronen Vosk. 2014

477 citations recorded by the source corpus.

We survey the recent progress made in understanding non equilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic renormalization group methods to capture universal aspects of the dynamics. Finally we outline some outstanding open questions, which includee the description of the many-body localization phase transition and identifying physical systems that will allow systematic experimental study of these phenomena.

Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7b99c22b0af69d48ae8f991dc3a0c82fdd07dac1

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In Atomic and Molecular Physics, and Optics

In Condensed Matter Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Many-body localization and delocalization in large quantum chains (2018, background): “[2] Ehud Altman and Ronen Vosk, “Universal dynamics and renormalization in many-body-localized systems,” Ann.”
Statistical localization: From strong fragmentation to strong edge modes (2019, background): “[19] Ehud Altman and Ronen Vosk, “Universal dynamics and renormalization in many-body-localized systems,” Annual Review of Condensed Matter Physics 6, 383–409 (2015), https://doi.”
Local integrals of motion in many‐body localized systems (2016, background): “For example [5], assume that at a given RG step the strongest coupling in (55) is |Jz j | = Ω, and let HΩ = Jz j Sz jS j+1, V = H − HΩ, and v be the magnitude of the largest coupling in V, (v < Ω).”
Ergodicity breaking transition in finite disordered spin chains (2020, background): “[43] E.”
Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, background): “We refer the interested reader to the excellent reviews [61, 64] for more details.”
Aspects of non-equilibrium in classical and quantum systems: Slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics (2017, background): “A second notable exception, and the one to be discussed here, is that of (non-integrable) manybody quantum systems with quenched disorder that display many-body localisation (MBL) [74, 75, 76, 77, 78, 79, 58, 59, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93]; for reviews see [15, 94, 95].”
Quantum Butterfly Effect in Weakly Interacting Diffusive Metals (2017, unknown): “This is not too surprising since there is no reason for the motion of charge and energy to be tied to the growth of chaos in interacting systems—an extreme example being that of a many-body localized (MBL) phase [34,35], where partial scrambling occurs even in the absence of any transport of charge ”
Many-body localization: An introduction and selected topics (2017, unknown): “A spin chain example As there are already several excellent general introductions to the physics of MBL [1, 2, 3], we rather start directly by an example, from which we will illustrate several properties of the two main paradigms for the long-time behavior of disordered quantum systems.”
Slow scrambling in disordered quantum systems (2016, background): “It is known that the noninteracting delocalized limit can remain metallic in the presence of interactions, and recent work has shown that the localized limit is also stable to interactions [19–23], resulting in many-body localization [24,25].”