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Stark many-body localization transitions in superconducting circuits

Authors :
Zheng-Hang Sun
Yong-Yi Wang
Heng Fan
Source :
Physical Review B. 104
Publication Year :
2021
Publisher :
American Physical Society (APS), 2021.

Abstract

Recent numerical and experimental works have revealed a disorder-free many-body localization (MBL) in an interacting system subjecting to a linear potential, known as the Stark MBL. The conventional MBL, induced by disorder, has been widely studied by using quantum simulations based on superconducting circuits. Here, we consider the Stark MBL in two types of superconducting circuits, i.e., the 1D array of superconducting qubits, and the circuit where non-local interactions between qubits are mediated by a resonator bus. We calculate the entanglement entropy and participate entropy of the highly-excited eigenstates, and obtain the lower bound of the critical linear potential $\gamma_{c}$, using the finite-size scaling collapse. Moreover, we study the non-equilibrium properties of the Stark MBL. In particular, we observe an anomalous relaxation of the imbalance, dominated by the power-law decay $t^{-\xi}$. The exponent $\xi$ satisfies $\xi\propto|\gamma-\gamma_{c}|^{\nu}$ when $\gamma<br />Comment: 9+7 pages, 10+7 figures, 2 tables

Details

ISSN :
24699969 and 24699950
Volume :
104
Database :
OpenAIRE
Journal :
Physical Review B
Accession number :
edsair.doi.dedup.....4882e453b831f83d8636bb120f374cb5
Full Text :
https://doi.org/10.1103/physrevb.104.205122