reviewReports on Progress in PhysicsNov 26, 2024HYBRID OA

Many-body localization in the age of classical computing *

PSPiotr SierantMLMaciej LewensteinASAntonello ScardicchioLVLev VidmarJZJakub Zakrzewski

Institute of Photonic Sciences · Institució Catalana de Recerca i Estudis Avançats · +5 more institutions

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Abstract

Abstract Statistical mechanics provides a framework for describing the physics of large, complex many-body systems using only a few macroscopic parameters to determine the state of the system. For isolated quantum many-body systems, such a description is achieved via the eigenstate thermalization hypothesis (ETH), which links thermalization, ergodicity and quantum chaotic behavior. However, tendency towards thermalization is not observed at finite system sizes and evolution times in a robust many-body localization (MBL) regime found numerically and experimentally in the dynamics of interacting many-body systems at strong disorder. Although the phenomenology of the MBL regime is well-established, the central…

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Topics & keywords

Topics
Keywords
  • Physics
  • Ergodicity
  • Statistical physics
  • Thermalisation
  • Quantum chaos
  • Quantum
  • Scaling
  • Thermodynamic limit
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