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The nuclear many-body problem for medium-mass systems is commonly addressed using wave-function expansion methods that build upon a second-quantized representation of many-body operators with respect to a chosen computational basis. While…

核理论 · 物理学 2021-02-02 J. Hoppe , A. Tichai , M. Heinz , K. Hebeler , A. Schwenk

Ab initio calculations face the challenge of describing a complex multiscale quantum many-body system. The nuclear wave function has both strong short-range correlations and long-range contributions. Natural orbitals provide a means of…

核理论 · 物理学 2017-04-11 Chrysovalantis Constantinou

One-body multipole operators are defined as irreducible representations of rotational symmetry together with spatial-inversion and time-reversal symmetries, providing a systematic framework for classifying electronic internal degrees of…

强关联电子 · 物理学 2026-03-12 Shingo Kuniyoshi , Rikuto Oiwa , Satoru Hayami

This paper aims at introducing the formal foundations of the application of reduced density-matrix theory and Green's function theory to the analysis of molecular electronic transitions. For this sake, their mechanics, applied to specific…

化学物理 · 物理学 2022-08-09 Thibaud Etienne

We introduce superdensity operators as a tool for analyzing quantum information in spacetime. Superdensity operators encode spacetime correlation functions in an operator framework, and support a natural generalization of Hilbert space…

量子物理 · 物理学 2018-10-17 Jordan Cotler , Chao-Ming Jian , Xiao-Liang Qi , Frank Wilczek

In a realistic scenario, the evolution of the rotational dynamics of a celestial or artificial body is subject to dissipative effects. Time-varying non-conservative forces can be due to, for example, a variation of the moments of inertia or…

地球与行星天体物理 · 物理学 2017-03-24 Ioannis Gkolias , Christos Efthymiopoulos , Giuseppe Pucacco , Alessandra Celletti

Natural orbital theory is a computationally useful approach to the few and many-body quantum problem. While natural orbitals are known and applied since many years in electronic structure applications, their potential for time-dependent…

原子物理 · 物理学 2014-10-08 J. Rapp , M. Brics , D. Bauer

We investigate the suitability of natural orbitals as a basis for describing many-body excitations. We analyze to which extend the natural orbitals describe both bound as well as ionized excited states and show that depending on the…

其他凝聚态物理 · 物理学 2011-01-14 N. Helbig , I. V. Tokatly , A. Rubio

We report equations of motion for the occupation numbers of natural spin orbitals and show that adiabatic extensions of common functionals employed in ground-state reduced-density-matrix-functional theory have the shortcoming of leading…

材料科学 · 物理学 2012-12-27 H. Appel , E. K. U. Gross

We show that the one-particle density matrix $\rho$ can be used to characterize the interaction-driven many-body localization transition in closed fermionic systems. The natural orbitals (the eigenstates of $\rho$) are localized in the…

强关联电子 · 物理学 2015-07-28 Soumya Bera , Henning Schomerus , Fabian Heidrich-Meisner , Jens H. Bardarson

We study real-time local correlators $\langle\mathcal{O}(\mathbf{x},t)\mathcal{O}(0,0)\rangle$ in chaotic quantum many-body systems. These correlators show universal structure at late times, determined by the dominant operator-space Feynman…

统计力学 · 物理学 2023-01-04 Adam Nahum , Sthitadhi Roy , Sagar Vijay , Tianci Zhou

Boundary time crystals (BTCs) are prominent examples of continuous time crystals in collective spin systems governed by Lindbladian evolution. To date, their analysis has mostly relied on semiclassical and numerical approaches. Here, we…

量子物理 · 物理学 2026-04-17 Dominik Nemeth , Ahsan Nazir , Robert-Jan Slager , Alessandro Principi

Ab initio no-core configuration interaction (NCCI) calculations for the nuclear many-body problem have traditionally relied upon an antisymmetrized product (Slater determinant) basis built from harmonic oscillator orbitals. The accuracy of…

We explore the impact of optimizations of the single-particle basis on the convergence behavior and robustness of ab initio no-core shell model calculations. Our focus is on novel basis sets defined by the natural orbitals of a correlated…

核理论 · 物理学 2019-03-27 Alexander Tichai , Julius Müller , Klaus Vobig , Robert Roth

We introduce a numerically exact real-time evolution scheme for quantum impurities in a macroscopically large bath. The algorithm is few-body revealing, namely it identifies the electronic orbitals that can be made inactive (in a trivial…

强关联电子 · 物理学 2025-09-26 Yuriel Núñez-Fernández , Maxime Debertolis , Serge Florens

We consider some basic problems associated with quantum mechanics of systems having a time-dependent Hilbert space. We provide a consistent treatment of these systems and address the possibility of describing them in terms of a…

量子物理 · 物理学 2024-09-24 Ali Mostafazadeh

Favorably scaling numerical time-dependent many-electron techniques such as time-dependent density functional theory (TDDFT) with adiabatic exchange-correlation potentials typically fail in capturing highly correlated electron dynamics. We…

原子物理 · 物理学 2013-11-25 M. Brics , D. Bauer

The concept of active spaces simplifies the description of interacting quantum many-body systems by restricting to a neighbourhood of active orbitals around the Fermi level. The respective wavefunction ansatzes which involve all possible…

Natural orbital functional theory is considered for systems with one or more unpaired electrons. An extension of the Piris natural orbital functional (PNOF) based on electron pairing approach is presented, specifically, we extend the…

We are reinvestigating the hyperfine structure of sodium using a fully relativistic multiconfiguration approach. In the fully relativistic approach, the computational strategy somewhat differs from the original nonrelativistic counterpart…

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