Erlangen 2022 – scientific programme
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Q: Fachverband Quantenoptik und Photonik
Q 55: Quantum Effects III
Q 55.5: Talk
Thursday, March 17, 2022, 15:00–15:15, Q-H13
Characterization of a localization transition in a power-law interacting spin model without disordered potentials — •Adrian Braemer1 and Martin Gärttner1,2,3 — 1Physikalisches Institut, Heidelberg, Deutschland — 2Kirchhoff-Institut für Physik, Heidelberg, Deutschland — 3Institut für Theoretische Physik, Heidelberg, Deutschland
The impact of disorder on quantum many-body systems has been studied extensively over the past decade. Disorder commonly takes the form of random potentials which leads to localized eigenstates at sufficiently high disorder strength. Here we study the localization transition in a Heisenberg XXZ spin chain, where the disorder is exclusively due to random spin-spin couplings, arising from power-law interactions between randomly positioned sites. We use established spectral and eigenstate properties and entanglement entropy to show that there is indeed a transition from an ergodic to a localized regime. We identify strongly interacting pairs as emergent local conserved quantities in the system, leading to an intuitive physical picture consistent with our numerical results.