2021/03/31 by Xiaoming Cai, Hongting Yang, Hailong Shi +5 · 1 citation
Computer Science · Physics and Astronomy · #Boson #Fermion #Perturbation theory (quantum mechanics) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum and electron transport phenomena #Quantum computer #Quantum many-body systems #Quantum mechanics #Quantum walk #Scaling #Statistical physics #cond-mat.quant-gas
paper · pdf · doi:10.1103/physrevlett.127.100406
published as Phys. Rev. Lett. 127, 100406 (2021) · 6+16 pages, 5+11 figures
openalex publication_date 2021/09/03 · arxiv created 2021/09/04 · arxiv updated 2021/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Recent experiments on quantum walks (QWs) demonstrated a full control over the statistics-dependent walks of single particles and two particles in one-dimensional lattices. However, little is known about the general characterization of QWs at the many-body level. Here, we rigorously study QWs, Bloch oscillations, and the quantum Fisher information for three indistinguishable bosons and fermions in one-dimensional lattices using a time-evolving block decimation algorithm and many-body perturbation theory. We show that such strongly correlated QWs not only give rise to statistics-and-interaction-dependent ballistic transports of scattering states and of two- and three-body bound states but also allow a quantum enhanced precision measurement of the gravitational force. In contrast to the QWs of the fermions, the QWs of three bosons exhibit strongly correlated Bloch oscillations, which present a surprising time scaling t3 of the Fisher information below a characteristic time t0 and saturate to the fundamental limit of t2 for t>t0.