Hamiltonian Reconstruction: the Correlation Matrix and Incomplete Operator Bases

التفاصيل البيبلوغرافية
العنوان: Hamiltonian Reconstruction: the Correlation Matrix and Incomplete Operator Bases
المؤلفون: Brito, Lucas Z., Carr, Stephen, Jacoby, J. Alexander, Marston, J. B.
سنة النشر: 2023
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Condensed Matter - Strongly Correlated Electrons, Condensed Matter - Materials Science, Quantum Physics
الوصف: 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 over-complete -- too few or too many operators respectively. An approximation scheme for reconstructing from an undercomplete basis is proposed and performed 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 in zero- and finite-temperature regimes.
Comment: 11 pages, 8 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2311.09302
رقم الأكسشن: edsarx.2311.09302
قاعدة البيانات: arXiv