Work

Efficient simulation of dynamics in two-dimensional quantum spin systems with isometric tensor networks

Year: 2022

Type: article

Abstract: Simulating the dynamics of finite two-dimensional (2D) quantum many-body systems poses challenges to numerical methods due to the exponential growth of the many-body Hilbert space. In this work, the authors explore the variational power of recently introduced isometric tensor network states (isoTNS) --- a subset of general tensor-network states that allow an efficient numerical simulation. As a efficient tool to find ground states, the variational density matrix renormalization group (DMRG${}_{2}$) is introduced. It is then demonstrated that dynamical correlation functions for the 2D transverse field Ising model and the Kitaev Honeycomb model can be obtained.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.106.245102

Authors: Sheng-Hsuan Lin, Michael P. Zaletel, Frank Pollmann

Institutions: Technical University of Munich, University of California, Berkeley, Munich Center for Quantum Science and Technology

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: European Commission, Deutsche Forschungsgemeinschaft, Horizon 2020