We investigate several quantum many-body systems using the density matrix projection method. We consider a detailed proof of concept with the harmonic oscillator and apply the method to systems composed of fermions, bosons, and mixtures of bosons and fermions within the framework provided by Helium atoms. Bosons serve to demonstrate most of the features of the method. Complementarily, when considering systems described by anti-symmetrical wavefunctions, introducing the fixed-node approximation is the way we choose to avoid the ubiquitous sign problem. One of the main features of the method is its ability to estimate any property at temperature T = 0 without bias, including biases that come from long-running simulations. In great detail, we discuss pair density matrices that we use to construct the full density operator in coordinate representation. Finally, we investigate 3 He-4 He mixtures, showing the robustness of the density matrix projection method. In particular, we calculate the pair correlation function of equal and opposite spins and accurate values of the 3 He kinetic energy.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
customersupport@researchsolutions.com
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.