Many-body localization edge in the random-field Heisenberg chain

By D. J. Luitz, N. Laflorencie, Fabien Alet. 2014

789 citations recorded by the source corpus.

The authors study the phenomena of many-body localization in a random field Heisenberg chain. In this paper the authors use a shift-inverse exact diagonalization approach that allows them to study the mid-spectrum spectral properties of the model for system sizes of up to N=22. This has allow the authors to identify the many-body localization edge.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/be673ef5990bf9f9e14ef1b4b3f0d228660f7545

How researchers see this paper

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In Artificial Intelligence

1. V. Khemani
2. Yuan Su
3. Neil J. Ross
4. Y. Nam
5. Romain Vasseur
6. D. Huse
7. Tomaz Prosen
8. Andrew M. Childs

In Atomic and Molecular Physics, and Optics

1. V. Khemani
2. Tomaz Prosen
3. D. Abanin
4. Romain Vasseur
5. D. Huse
6. Maksym Serbyn
7. A. Nahum
8. L. Vidmar

In Statistical and Nonlinear Physics

1. V. Khemani
2. Tomaz Prosen
3. D. Huse
4. J. Moore
5. L. Vidmar
6. Romain Vasseur
7. J. Bonvca
8. Jan vSuntajs

Citations in the corpus

• Out‐of‐time‐ordered correlators in many‐body localized systems (2016, background): “It is know that for smaller h there are mobility edges to thermal phases in the middle of the spectrum [40].”
• Quantum coherence and geometric quantum discord (2017, result): “This estimate is in accordance with the result hc/J ∼ 3.8 given in the literature (Goold et al., 2015; Luitz et al., 2015).”
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, methodology): “Further numerical studies [59, 60, 62], mostly restricted to the random-field XXZ Hamiltonian”
• QuSpin: a Python Package for Dynamics and Exact Diagonalisation of Quantum Many Body Systems part I: spin chains (2016, background): “It has been demonstrated that this model exhibits a transition to an MBL phase [39].”
• Complex Spacing Ratios: A Signature of Dissipative Quantum Chaos (2019, background): “They were extensively applied in numerical studies of many-body localization [72–81], periodically driven, interacting quantum systems [82], and quantum quenches [83, 84].”