Detecting a many-body mobility edge with quantum quenches
Piero Naldesi, Elisa Ercolessi, Tommaso Roscilde
SciPost Phys. 1, 010 (2016) · published 27 October 2016
- doi: 10.21468/SciPostPhys.1.1.010
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Abstract
The many-body localization (MBL) transition is a quantum phase transition involving highly excited eigenstates of a disordered quantum many-body Hamiltonian, which evolve from "extended/ergodic" (exhibiting extensive entanglement entropies and fluctuations) to "localized" (exhibiting area-law scaling of entanglement and fluctuations). The MBL transition can be driven by the strength of disorder in a given spectral range, or by the energy density at fixed disorder - if the system possesses a many-body mobility edge. Here we propose to explore the latter mechanism by using "quantum-quench spectroscopy", namely via quantum quenches of variable width which prepare the state of the system in a superposition of eigenstates of the Hamiltonian within a controllable spectral region. Studying numerically a chain of interacting spinless fermions in a quasi-periodic potential, we argue that this system has a many-body mobility edge; and we show that its existence translates into a clear dynamical transition in the time evolution immediately following a quench in the strength of the quasi-periodic potential, as well as a transition in the scaling properties of the quasi-stationary state at long times. Our results suggest a practical scheme for the experimental observation of many-body mobility edges using cold-atom setups.
Cited by 53
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 4 Piero Naldesi,
- 3 4 Elisa Ercolessi,
- 1 2 5 Tommaso Roscilde
- 1 Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- 2 École Normale Supérieure de Lyon [ENSL]
- 3 INFN Sezione di Bologna / INFN Bologna [INFN Bologna]
- 4 Università di Bologna / University of Bologna [UNIBO]
- 5 Institut Universitaire de France [IUF]
- Agence Nationale de la Recherche [ANR]
- Instituto Nazionale di Fisica Nucleare (INFN) (through Organization: Istituto Nazionale di Fisica Nucleare / National Institute for Nuclear Physics [INFN])