Unbounded growth of entanglement in models of many-body localization.

By J. Bardarson, Frank Pollmann, J. Moore. Physical Review Letters, 2012

739 citations recorded by the source corpus.

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of interacting spinless fermions in one dimension described by the random-field XXZ Hamiltonian. Interactions induce a dramatic change in the propagation of entanglement and a smaller change in the propagation of particles. For even weak interactions, when the system is thought to be in a many-body localized phase, entanglement shows neither localized nor diffusive behavior but grows without limit in an infinite system: interactions act as a singular perturbation on the localized state with no interactions. The significance for proposed atomic experiments is that local measurements will show a large but nonthermal entropy in the many-body localized state. This entropy develops slowly (approximately logarithmically) over a diverging time scale as in glassy systems.

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

View Paper: https://www.semanticscholar.org/paper/64242b7ed4f0909aa5a03fe0a739b5bcb90f876f

How researchers see this paper

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In Atomic and Molecular Physics, and Optics

1. A. Nahum
2. V. Khemani
3. Brian Swingle
4. D. Huse
5. D. Abanin
6. Matthew Fisher
7. I. Bloch
8. Maksym Serbyn

In Condensed Matter Physics

1. V. Khemani
2. Matthew Fisher
3. Brian Swingle
4. A. Nahum
5. D. Huse
6. I. Bloch
7. J. Imbrie
8. J. Ruhman

In Statistical and Nonlinear Physics

1. A. Nahum
2. Brian Swingle
3. V. Khemani
4. D. Huse
5. S. Vijay
6. S. Gopalakrishnan
7. I. Bloch
8. Maksym Serbyn

Citations in the corpus

• Programmable quantum simulations of spin systems with trapped ions (2019, background): “The slow growth of entanglement entropy (S) has long been understood as a distinguishing feature of localization (Bardarson et al., 2012).”
• Local integrals of motion in many‐body localized systems (2016, background): “Numerical simulations performed on disordered spin chains initialized in a low-entangled/product state [13, 28, 106] display a transient fast growth of S(t) (dominated by the direct nearest-neighbor interactions across the cut and extending to times of the order of the inverse interaction coupling),”
• Quantum Entanglement Growth Under Random Unitary Dynamics (2016, background): “[16] shows successive snapshots for a subregion of a larger system of L = 1025 bonds (times t = 170, 340, 512, 682, from bottom to top).”
• Measurement-Induced Phase Transitions in the Dynamics of Entanglement (2018, background): “[17] Jens H Bardarson, Frank Pollmann, and Joel E Moore.”