Work

Boosted imaginary time evolution of matrix product states

Year: 2024

Type: article

Abstract: In this work, we consider the imaginary time evolution of matrix product states. We present a quantum-inspired classical method that, when combined with time evolving block decimation (TEBD), is able to potentially speed up the convergence to a ground state compared to TEBD alone. Our method, referred to as boosted imaginary time evolution, relies on the use of reflections to boost to lower energy states. Interleaving TEBD steps with boosts reduces the total number of TEBD steps and potentially the computational cost required to imaginary time evolve a matrix product state to a ground state. We give the mathematical details of the method followed by an algorithmic implementation and finally some results for a simple test case. Published by the American Physical Society 2024

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

DOI: 10.1103/physrevb.110.174302

Authors: Benjamin C. B. Symons, Dilhan Manawadu, David Galvin, Stefano Mensa

Institutions: Science and Technology Facilities Council, Sci-Tech Daresbury

Language: English

Topic: Quantum many-body systems

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Government of the United Kingdom, Science and Technology Facilities Council

OpenAlex ID: W4404041801

FWCI: 0.479

Cites: 15

Cited by: 3

Related to: 10