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Related papers: Time-dependent restricted-active-space self-consis…

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We propose a new approach for the study of the time evolution of a factorized $N$-particle bosonic wave function with respect to a mean-field dynamics with a bounded interaction potential. The new technique, which is based on the control of…

Mathematical Physics · Physics 2009-11-13 Laszlo Erdos , Benjamin Schlein

We present a novel implementation of the complete active space self-consistent field (CASSCF) method that makes use of the many-body expanded full configuration interaction (MBE-FCI) method to incrementally approximate electronic structures…

We propose a self-consistent scheme for the determination of the ground-state (GS) properties of interacting electrons in a magnetic field, and of systems whose GS's time-reversal-symmetry (TRS) is spontaneously broken. It is based on a…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 Behnam Farid

A numerical method to integrate the time-dependent Hartree-Fock Bogoliubov (TDHFB) equations with Gogny interaction is proposed. The feasibility of the TDHFB code is illustrated by the conservation of the energy, particle numbers, and…

Nuclear Theory · Physics 2015-06-04 Yukio Hashimoto

Describing time-dependent many-body systems where correlation effects play an important role remains a major theoretical challenge. In this paper we develop a time-dependent many-body theory that is based on the two-particle reduced density…

Exact solutions of the Schrodinger equation describing a freely expanding Lieb-Liniger (LL) gas of delta-interacting bosons in one spatial dimension are constructed. The many-body wave function is obtained by transforming a fully…

Other Condensed Matter · Physics 2009-11-13 H. Buljan , R. Pezer , T. Gasenzer

By simulating the real-time multielectron wavefunction with the multi-configurational time-dependent Hartree-Fock (MCTDHF) approach, we conduct an \textit{ab initio} study of the single-photon ionization process of a body-fixed water…

Atomic Physics · Physics 2026-01-14 Zhao-Han Zhang , Yang Li , Himadri Pathak , Takeshi Sato , Kenichi L. Ishikawa , Feng He

We present a formal derivation of the many-body perturbation theory for a system of electrons and bosons subject to a nonlinear electron-boson coupling. The interaction is treated at an arbitrary high order of bosons scattered. The…

Strongly Correlated Electrons · Physics 2018-08-15 Andrea Marini , Yaroslav Pavlyukh

These lecture notes are addressed to PhD student and/or researchers who want a general overview of microscopic approaches based on mean-field and applied to nuclear dynamics. Our goal is to provide a good description of low energy heavy-ion…

Nuclear Theory · Physics 2009-04-20 Cédric Simenel , Benoît Avez , Denis Lacroix

A fundamental longstanding problem in studying spin models is the efficient and accurate numerical simulation of the long-time behavior of larger systems. The exponential growth of the Hilbert space and the entanglement accumulation at long…

Quantum Physics · Physics 2025-04-14 Aditya Dubey , Zeki Zeybek , Fabian Köhler , Rick Mukherjee , Peter Schmelcher

In this work we focus on a recently introduced method [1] to construct the external potential $v$ that, for a given initial state, produces a prescribed time-dependent density in an interacting quantum many-body system. We show how this…

Quantum Physics · Physics 2014-12-12 S. E. B. Nielsen , M. Ruggenthaler , R. van Leeuwen

A configuration-interaction time-dependent density functional theory (CI-TDDFT) for nuclear dynamics is developed. In this framework, the correlated nuclear many-body wave function is expanded in terms of time-dependent many-particle…

Nuclear Theory · Physics 2026-05-21 Y. P. Wang , B. Li , D. Vretenar , T. Nikšić , P. W. Zhao , J. Meng

Following a `bottom-up approach' in understanding many-particle effects and dynamics we provide a systematic ab initio study of the dependence of the breathing dynamics of ultracold bosons in a 1D harmonic trap on the number of bosons…

Quantum Physics · Physics 2013-10-18 Rüdiger Schmitz , Sven Krönke , Lushuai Cao , Peter Schmelcher

The accurate description of the non-linear response of many-electron systems to strong-laser fields remains a major challenge. Methods that bypass the unfavorable exponential scaling with particle number are required to address larger…

A new alternate method for evaluating linear response theory is formally developed, and results are presented. This method involves the time-evolution of the system using TDHF and is constructed directly on top of a static Hartree-Fock…

Nuclear Theory · Physics 2009-11-11 A. S. Umar , V. E. Oberacker

Collective mass tensors derived in the cranking approximation to the adiabatic time-dependent Hartree-Fock-Bogoliubov (ATDHFB) method are employed in a study of induced fission dynamics. Together with a collective potential determined in…

Nuclear Theory · Physics 2020-07-01 Jie Zhao , Tamara Nikšić , Dario Vretenar , Shan-Gui Zhou

We study the dynamics of a one-dimensional Bose gas at unit filling in both shallow and deep optical lattices and obtain the dynamic structure factor ${S(k,\omega)}$ by monitoring the linear response to a weak probe pulse. We introduce a…

Quantum Gases · Physics 2022-08-24 Mathias Gartner , Ferran Mazzanti , Robert E. Zillich

While new light sources allow for unprecedented resolution in experiments with X-rays, a theoretical understanding of the scattering cross-section is lacking. In the particular case of strongly correlated electron systems, numerical…

Strongly Correlated Electrons · Physics 2023-05-29 Krissia Zawadzki , Alberto Nocera , Adrian E. Feiguin

The multiconfiguration methods are widely used by quantum physicists and chemists for numerical approximation of the many electron Schr\"odinger equation. Recently, first mathematically rigorous results were obtained on the time-dependent…

Analysis of PDEs · Mathematics 2010-02-10 Norbert J. Mauser , Saber Trabelsi

We use analytic (current) density-potential maps of time-dependent (current) density functional theory (TD(C)DFT) to inverse engineer analytically solvable time-dependent quantum problems. In this approach the driving potential (the control…

Quantum Physics · Physics 2016-06-01 Mehdi Farzanehpour , I. V. Tokatly
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