Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems

• Verfasst von: Hashizume, Tomohiro [VerfasserIn]
• Verfasst von: Halimeh, Jad C. [VerfasserIn]
• Verfasst von: McCulloch, Ian P. [VerfasserIn]
• Titel: Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems
• Verf.angabe: Tomohiro Hashizume, Jad C. Halimeh, and Ian P. McCulloch
• E-Jahr: 2020
• Jahr: 7 July 2020
• Umfang: 9 S.
• Fussnoten: Gesehen am 10.08.2020
• Titel Quelle: Enthalten in: Physical review
• Ort Quelle: Woodbury, NY : Inst., 2016
• Jahr Quelle: 2020
• Band/Heft Quelle: 102(2020,3) Artikel-Nummer 035115, 9 Seiten
• ISSN Quelle: 2469-9969
• DOI: doi:10.1103/PhysRevB.102.035115
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1726689476

Abstract

In recent years, the infinite time-evolving block decimation (iTEBD) method has been demonstrated to be one of the most efficient and powerful numerical schemes for time evolution in one-dimensional quantum many-body systems. However, a major shortcoming of the method, along with other state-of-the-art algorithms for many-body dynamics, has been their restriction to one spatial dimension. We present an algorithm based on a hybrid extension of iTEBD where finite blocks of a chain are first locally time evolved before an iTEBD-like method combines these processes globally. This in turn permits simulating the dynamics of many-body systems in spatial dimensions d≥1 where the thermodynamic limit is achieved along one spatial dimension and where long-range interactions can also be included. Our work paves the way for simulating the dynamics of many-body phenomena that occur exclusively in higher dimensions and whose numerical treatments have hitherto been limited to exact diagonalization of small systems, which fundamentally limits a proper investigation of dynamical criticality. We expect the algorithm presented here to be of significant importance to validating and guiding investigations in state-of-the-art ion-trap and ultracold-atom experiments.