Localization transition induced by programmable disorder
- URL: http://arxiv.org/abs/2108.06762v3
- Date: Fri, 1 Apr 2022 19:46:56 GMT
- Title: Localization transition induced by programmable disorder
- Authors: Jaime L. C. da C. Filho, Zoe Gonzalez Izquierdo, Andreia Saguia,
Tameem Albash, Itay Hen, Marcelo S. Sarandy
- Abstract summary: Many-body localization occurs on a spin-1/2 transverse-field Ising model.
We observe a transition from an ergodic phase to a non-thermal phase for individual energy eigenstates.
We realize the time-independent disordered Ising Hamiltonian experimentally on a D-Wave 2000Q programmable quantum annealer.
- Score: 0.24629531282150877
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We investigate the occurrence of many-body localization (MBL) on a spin-1/2
transverse-field Ising model defined on a Chimera connectivity graph with
random exchange interactions and longitudinal fields. We observe a transition
from an ergodic phase to a non-thermal phase for individual energy eigenstates
induced by a critical disorder strength for the Ising parameters. Our result
follows from the analysis of both the mean half-system block entanglement and
the energy level statistics. We identify the critical point associated with
this transition using the maximum variance of the block entanglement over the
disorder ensemble as a function of the disorder strength. The calculated energy
density phase diagram shows the existence of a mobility edge in the energy
spectrum. In terms of the energy level statistics, the system changes from the
Gaussian orthogonal ensemble for weak disorder to a Poisson distribution limit
for strong randomness, which implies localization behavior. We then realize the
time-independent disordered Ising Hamiltonian experimentally using a reverse
annealing quench-pause-quench protocol on a D-Wave 2000Q programmable quantum
annealer. We characterize the transition from the thermal to the localized
phase through magnetization measurements at the end of the annealing dynamics,
and the results are compatible with our theoretical prediction for the critical
point. However, the same behavior can be reproduced using a classical
spin-vector Monte Carlo simulation, which suggests that genuine quantum
signatures of the phase transition remain out of reach using this experimental
platform and protocol.
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