Classical algorithms for many-body quantum systems at finite energies

Article

关键词: MATRIX PRODUCT STATES;    STATISTICAL-MECHANICS;    RENORMALIZATION-GROUP;    LIMIT;    THERMALIZATION;    CHAOS;   

DOI  :  10.1103/PhysRevB.106.024307

来源: SCIE

【 摘 要 】

We investigate quantum-inspired algorithms to compute physical observables of quantum many-body systems at finite energies. They are based on the quantum algorithms proposed by S. Lu, M. C. Ba??uls, and J. I. Cirac [PRX Quantum 2, 020321 (2021)], who use the quantum simulation of the dynamics of such systems, as well as classical filtering and sampling techniques. Here, we replace the quantum simulation by standard classical methods based on matrix product states and operators. As a result, we can address significantly larger systems than those reachable by exact diagonalization or by other algorithms. We demonstrate the performance with spin chains up to 80 sites.

【 授权许可】

Free