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The application of methods of time-dependent density functional theory (TDDFT) to systems of qubits provided the interesting possibility of simulating an assigned Hamiltonian evolution by means of an auxiliary Hamiltonian having different…

量子物理 · 物理学 2012-03-08 Diego de Falco , Dario Tamascelli

The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. We also show the validity of the…

数学物理 · 物理学 2011-06-27 Jianping Dong

We introduce an orbital free electron density functional approximation based on alchemical perturbation theory. Given convergent perturbations of a suitable reference system, the accuracy of popular self-consistent Kohn-Sham density…

化学物理 · 物理学 2020-05-27 Guido Falk von Rudorff , O. Anatole von Lilienfeld

For orbital-free {\it ab initio} molecular dynamics, especially on systems in extreme thermodynamic conditions, we provide the first pseudo-potential-adapted generalized gradient approximation (GGA) functional for the non-interacting free…

化学物理 · 物理学 2020-02-19 Kai Luo , Valentin V. Karasiev , S. B. Trickey

This chapter provides a basic introduction to excited-state extensions of density functional theory (DFT), including time-dependent (TD-)DFT in both its linear-response and its explicitly time-dependent formulations. As applied to the…

化学物理 · 物理学 2023-05-02 John M. Herbert

We present an efficient algorithm for obtaining the gauge-invariant gradient expansion of the local density of states and the free energy of a clean superconductor. Our method is based on a new mapping of the semiclassical linearized Gorkov…

超导电性 · 物理学 2009-10-31 Lorenz Bartosch , Peter Kopietz

Recent groundbreaking experiments studying the effects of spin polarization on pairing in unitary Fermi gases encountered mutual qualitative and quantitative discrepancies which seem to be a function of the confining geometry. Using novel…

量子气体 · 物理学 2011-03-09 L. O. Baksmaty , Hong Lu , C. J. Bolech , Han Pu

We revisit Kohn-Sham time-dependent density-functional theory (TDDFT) equations and show that they derive from a canonical Hamiltonian formalism. We use this geometric description of the TDDFT dynamics to define families of symplectic…

We re-adapt a spectral renormalization method, introduced in nonlinear optics, to solve the Kohn-Sham (KS) equations of density functional theory (DFT), with a focus on functionals based on the strictly-correlated electrons (SCE) regime,…

强关联电子 · 物理学 2020-04-23 Juri Grossi , Ziad H. Musslimani , Michael Seidl , Paola Gori-Giorgi

A practical electronic structure method in which a two-body functional is the fundamental variable is constructed. The basic formalism of our method is equivalent to Hartree-Fock density matrix functional theory [M. Levy in {\it Density…

其他凝聚态物理 · 物理学 2008-04-23 Balazs Hetenyi , Andreas W. Hauser

Multisite local orbitals, which are formed from linear combinations of pseudo-atomic orbitals from a target atom and its neighbor atoms, have been introduced in the large-scale density functional theory calculation code CONQUEST. Multisite…

材料科学 · 物理学 2014-11-11 Ayako Nataka , David R. Bowler , Tsuyoshi Miyazaki

We present a novel representation of coupled matter-photon systems that allows the application of many-body methods developed for purely fermionic systems. We do so by rewriting the original coupled light-matter problem in a…

量子物理 · 物理学 2019-12-24 S. E. B. Nielsen , C. Schäfer , M. Ruggenthaler , A. Rubio

We present a numerical method for grand canonical density functional theory (DFT) tailored to solid-state systems, employing Gaussian-type orbitals as the primary basis. Our approach directly minimizes the grand canonical free energy using…

化学物理 · 物理学 2025-10-09 Anton Z. Ni , Adam Rettig , Joonho Lee

We present an efficient and systematically convergent approach to all-electron real-time time-dependent density functional theory (TDDFT) calculations using a mixed basis, termed as enriched finite element (EFE) basis. The EFE basis…

化学物理 · 物理学 2022-10-27 Bikash Kanungo , Nelson D. Rufus , Vikram Gavini

Employing a local formula for the electron-electron interaction energy, we derive a self-consistent approximation for the total energy of a general $N$-electron system. Our scheme works as a local variant of the Thomas-Fermi approximation…

化学物理 · 物理学 2013-10-31 E. Rasanen , A. Odriazola , I. Makkonen , A. Harju

Given a set of Kohn-Sham orbitals from an insulating system, we present a simple, robust, efficient and highly parallelizable method to construct a set of, optionally orthogonal, localized basis functions for the associated subspace. Our…

计算物理 · 物理学 2014-11-05 Anil Damle , Lin Lin , Lexing Ying

Coupled Maxwell and time-dependent orbital-free calculations are implemented and tested to describe the interaction of electromagnetic waves and matter. The currents and induced fields predicted by the orbital-free calculations are compared…

介观与纳米尺度物理 · 物理学 2021-02-17 Cody Covington , Justin Malave , Kalman Varga

Time-dependent (current) density functional theory for many-electron systems strongly coupled to quantized electromagnetic modes of a microcavity is proposed. It is shown that the electron-photon wave function is a unique functional of the…

介观与纳米尺度物理 · 物理学 2013-12-10 I. V. Tokatly

The natural orbital functional theory (NOFT) has emerged as an alternative formalism to both density functional (DF) and wavefunction methods. In NOFT, the electronic structure is described in terms of the natural orbitals (NOs) and their…

计算物理 · 物理学 2020-10-28 Mario Piris , Ion Mitxelena

We present a formalism for strongly correlated systems with fermions coupled to bosonic modes. We construct the three-particle irreducible functional $\mathcal{K}$ by successive Legendre transformations of the free energy of the system. We…

强关联电子 · 物理学 2016-06-22 Thomas Ayral , Olivier Parcollet