The problem of simulation of quantum many-body systems has garnered considerable attention in recent years, due to its profound applications to fields such as quantum information and quantum computing as well as their numerical\/analytical complexity. The main difficulty lies in efficiently proposing approximate simulation schemes, capable of dealing with non-integrable and non-Gaussian correlations. It is crucial, then, to acknowledge that (Time-Dependent) Mean-Field Theory and Gaussian approaches are confined to Max-Ent manifolds of states $\\sigma$ [1, 2]. Within these manifolds, the system’s state, guided by an orthogonally-projected Schr\u00f6dinger (or Lindblad) equation of motion, maximizes the von Neumann entropy while sharing expectation values of a set of independent observables, giving rise to a self-consistency condition. \\n This seminar introduces a variation of the formalism that relaxes the self-consistency condition and employs a simpler form of orthogonal projection, reducing the numerical complexity associated with solving these equations of motion [3]. Consequently, a system of non-linear differential equations governing the dynamics of the system, via appropriate mappings, arises. Our approach, accomplished through a systematic expansion of the basis of operators, facilitates non-perturbative approximations to exact dynamics. \\n [1] Jaynes, E. T. (1957), Physical Review. Series II. 106 (4): 620\u2013630. [2] R. Balian, Y. Alhassid, and H. Reinhardt, Physics Reports 131, 1\u2013146 (1986). [3] FTB. P\u00e9rez and JM. Matera, ArXiv 2307.08683 (https:\/\/arxiv.org\/abs\/2307.08683, 2024).<\/p>\n","protected":false},"excerpt":{"rendered":"
The problem of simulation of quantum many-body systems has garnered considerable attention in recent years, due to its profound applications to fields such as quantum information and quantum computing as well as their numerical\/analytical complexity. The main difficulty lies in efficiently proposing approximate simulation schemes, capable of dealing with non-integrable and non-Gaussian correlations. It is […]<\/p>\n","protected":false},"author":2883,"featured_media":0,"template":"","class_list":["post-2228","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/2228","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/2883"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=2228"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}