Multiparticle quantum walk: a dynamical probe of topological many-body excitations

التفاصيل البيبلوغرافية
العنوان: Multiparticle quantum walk: a dynamical probe of topological many-body excitations
المؤلفون: Ostahie, Bogdan, Sticlet, Doru, Moca, Cătălin Paşcu, Dóra, Balázs, Werner, Miklós Antal, Asbóth, János K., Zaránd, Gergely
المصدر: Phys. Rev. B 108, 035126 (2023)
سنة النشر: 2022
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Strongly Correlated Electrons
الوصف: Recent experiments demonstrated that single-particle quantum walks can reveal the topological properties of single-particle states. Here, we generalize this picture to the many-body realm by focusing on multiparticle quantum walks of strongly interacting fermions. After injecting $N$ particles with multiple flavors in the interacting SU$(N)$ Su-Schrieffer-Heeger chain, their multiparticle continuous-time quantum walk is monitored by a variety of methods. We find that the many-body Berry phase in the $N$-body part of the spectrum signals a topological transition upon varying the dimerization, similarly to the single-particle case. This topological transition is captured by the single- and many-body mean chiral displacement during the quantum walk and remains present for strong interaction as well as for moderate disorder. Our predictions are well within experimental reach for cold atomic gases and can be used to detect the topological properties of many-body excitations through dynamical probes.
Comment: 7 pages, 3 figures, and Supplemental Material
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevB.108.035126
URL الوصول: http://arxiv.org/abs/2209.03569
رقم الأكسشن: edsarx.2209.03569
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevB.108.035126