Pair localization in dipolar systems with tunable positional disorder

Adrian Braemer, Titus Franz, Matthias Weidemüller, and Martin Gärttner
Phys. Rev. B 106, 134212 – Published 31 October 2022

Abstract

Strongly interacting quantum systems subject to quenched disorder exhibit intriguing phenomena such as glassiness and many-body localization. Theoretical studies have mainly focused on disorder in the form of random potentials, while many experimental realizations naturally feature disorder in the interparticle interactions. Inspired by cold Rydberg gases, where such disorder can be engineered using the dipole blockade effect, we study a Heisenberg XXZ spin model where the disorder is exclusively due to random spin-spin couplings, arising from power-law interactions between randomly positioned spins. Using established spectral and eigenstate properties and entanglement entropy, we show that this system exhibits a localization crossover and identify strongly interacting pairs as emergent local conserved quantities in the system, leading to an intuitive physical picture consistent with our numerical results.

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  • Received 30 July 2022
  • Accepted 16 October 2022

DOI:https://doi.org/10.1103/PhysRevB.106.134212

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsAtomic, Molecular & Optical

Authors & Affiliations

Adrian Braemer1,*, Titus Franz1, Matthias Weidemüller1, and Martin Gärttner1,2,3,†

  • 1Physikalisches Institut, Universität Heidelberg, Im Neuenheimer Feld 226, 69120 Heidelberg, Germany
  • 2Kirchhoff-Institut für Physik, Universität Heidelberg, Im Neuenheimer Feld 227, 69120 Heidelberg, Germany
  • 3Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany

  • *adrian.braemer@kip.uni-heidelberg.de
  • martin.gaerttner@kip.uni-heidelberg.de

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Issue

Vol. 106, Iss. 13 — 1 October 2022

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