Work

Hamiltonian reconstruction: The correlation matrix and incomplete operator bases

Year: 2024

Type: article

Abstract: We explore the robustness of the correlation matrix Hamiltonian reconstruction technique with respect to the choice of operator basis, studying the effects of bases that are undercomplete and overcomplete---too few or too many operators, respectively. An approximation scheme for reconstruction using an undercomplete basis is proposed and tested numerically on select models. We discuss the confounding effects of conserved quantities and symmetries on reconstruction attempts. We apply these considerations to a variety of one-dimensional systems at zero and nonzero temperature.

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

DOI: 10.1103/physrevb.110.125118

Authors: Lucas Z. Brito, Stephen Carr, J. Alexander Jacoby, J. B. Marston

Institutions: Brown University, Princeton University

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

Funder: National Science Foundation

Awards: RII Track-2 FEC: Harnessing the Data Revolution for the Quantum Leap: From Quantum Control to Quantum Materials, Graduate Research Fellowship Program (GRFP), QII-TAQS: Spatially and Temporally Resolved Ultrasensitive Magnetic Sensing of Quantum Materials