Many-body localization in tilted and harmonic potentials

Yao, Ruixiao; Chanda, Titas; Zakrzewski, Jakub

doi:10.48550/arxiv.2103.11699

Cited by 1 publication

(1 citation statement)

References 67 publications

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“…A prominent example is the Wannier-Stark MBL, achieved by a linear field beyond a critical value [44][45][46][47][48]. The logarithmic growth of EE and the finite stationary value of imbalance at long time, as non-equilibrium characteristics of the Stark MBL, are numerically revealed [44,45,49]. Other experimental feasible probes of the Stark MBL, including the dynamics of quantum mutual information and the spin echo, are also explored [50].…”

Section: Introductionmentioning

confidence: 99%

Stark many-body localization transitions in superconducting circuits

Wang,

Sun,

Fan

2021

Preprint

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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 γc, 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 −ξ . The exponent ξ satisfies ξ ∝ γ − γc ν when γ < γc, and vanishes for γ ≥ γc, which can be employed to estimate the γc. Our work indicates that superconducting circuits are a promising platform for investigating the critical properties of the Stark MBL transition.

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