Long-range resonances and the meltdown of many-body localization
ORAL
Abstract
Closed, quantum systems with interactions can transition to a many-body localized (MBL) phase in the presence of disorder. In this work, we attempt to numerically identify the presence of resonances in the ergodic-MBL transition. We find evidence for the proliferation of resonances around the transition, where the resonance structure becomes scale invariant. In addition, we consider how the resonances induce the buildup of entanglement and spectral statistics observed in the system through collisions between energy levels. We explore this both in the real-space basis as well as an adiabatic l-bit basis.
*This research is part of the Blue Waters sustained-petascale computing project, which is supported by the National Science Foundation (awards OCI-0725070 and ACI-1238993) and the state of Illinois. Blue Waters is a joint effort of the University of Illinois at Urbana-Champaign and its National Center for Supercomputing Applications.
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Presenters
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Benjamin Villalonga
- University of Illinois at Urbana-Champaign
- University of Illinois at Urbana-Champaign - Quantum Artificial Intelligence Lab (QuAIL) @ NASA Ames - USRA Research Institute for Advanced Computer Science (RIACS)