University of Oulu

Orell, T., Michailidis, A., Serbyn, M., Silveri, M. (2019) Probing the many-body localization phase transition with superconducting circuits. Physical review B, 100 (13), 134504. doi:10.1103/PhysRevB.100.134504

Probing the many-body localization phase transition with superconducting circuits

Saved in:
Author: Orell, Tuure1; Michailidis, Alexios A.2; Serbyn, Maksym2;
Organizations: 1Nano and Molecular Systems Research Unit, University of Oulu, 90014 Oulu, Finland
2IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria
Format: article
Version: published version
Access: open
Online Access: PDF Full Text (PDF, 2.1 MB)
Persistent link:
Language: English
Published: American Physical Society, 2019
Publish Date: 2019-10-22


Chains of superconducting circuit devices provide a natural platform for studies of synthetic bosonic quantum matter. Motivated by the recent experimental progress in realizing disordered and interacting chains of superconducting transmon devices, we study the bosonic many-body localization phase transition using the methods of exact diagonalization as well as matrix product state dynamics. We estimate the location of transition separating the ergodic and the many-body localized phases as a function of the disorder strength and the many-body on-site interaction strength. The main difference between the bosonic model realized by superconducting circuits and similar fermionic model is that the effect of the on-site interaction is stronger due to the possibility of multiple excitations occupying the same site. The phase transition is found to be robust upon including longer-range hopping and interaction terms present in the experiments. Furthermore, we calculate experimentally relevant local observables and show that their temporal fluctuations can be used to distinguish between the dynamics of Anderson insulator, many-body localization, and delocalized phases. While we consider unitary dynamics, neglecting the effects of dissipation, decoherence, and measurement back action, the timescales on which the dynamics is unitary are sufficient for observation of characteristic dynamics in the many-body localized phase. Moreover, the experimentally available disorder strength and interactions allow for tuning the many-body localization phase transition, thus making the arrays of superconducting circuit devices a promising platform for exploring localization physics and phase transition.

see all

Series: Physical review. B
ISSN: 2469-9950
ISSN-E: 2469-9969
ISSN-L: 2469-9950
Volume: 100
Issue: 13
Article number: 134504
DOI: 10.1103/PhysRevB.100.134504
Type of Publication: A1 Journal article – refereed
Field of Science: 114 Physical sciences
Copyright information: © 2019 American Physical Society.