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We investigate a spatial subsystem entropy extracted from the one-particle density matrix (OPDM) in one-dimensional disordered interacting fermions that host a many-body localized (MBL) phase. Deep in the putative MBL regime, this OPDM…

Strongly Correlated Electrons · Physics 2021-07-20 Miroslav Hopjan , Fabian Heidrich-Meisner , Vincenzo Alba

We analyze the applicability of the Fermi-golden-rule description of quasiparticle relaxation in a closed diffusive quantum dot with electron-electron interaction. Assuming that single-particle levels are already resolved but the initial…

Strongly Correlated Electrons · Physics 2016-04-29 Vladyslav A. Kozii , Mikhail A. Skvortsov

The one-body density matrix is derived within the Extended Thomas-Fermi approximation. This has been done starting from the Wigner-Kirkwood distribution function for a non-local single-particle potential. The links between this new approach…

Nuclear Theory · Physics 2009-10-31 V. B. Soubbotin , X. Vinas

The self consistent version of the density functional theory is presented, which allows to calculate the ground state and dynamic properties of finite multi-electron systems. An exact functional equation for the effective interaction, from…

Materials Science · Physics 2017-08-23 M. Ya. Amusia , A. Z. Msezane , V. R. Shaginyan

We here apply the recently developed initiator density matrix quantum Monte Carlo (i-DMQMC) to a wide range of chemical environments using atoms and molecules in vacuum. i-DMQMC samples the exact density matrix of a Hamiltonian at finite…

Chemical Physics · Physics 2019-12-03 Hayley R. Petras , Sai Kumar Ramadugu , Fionn D. Malone , James J. Shepherd

We aim to bridge the gap between quantum coherence, quantum correlations, and nonequilibrium quantum transport in a quantum double-dot (QDD) system interacting with fermionic reservoirs. The system-reservoir coupling is modeled using a…

Quantum Physics · Physics 2025-02-18 Saikumar Krithivasan , Thingujam Yaiphalemba Meitei , Arijit Sen , Md Manirul Ali

The Hamiltonian conservative system of two interacting particles has been considered both in classical and quantum description. The quantum model has been realized using a symmetrized two-particle basis reordered in the unperturbed energy.…

chao-dyn · Physics 2009-10-30 Fausto Borgonovi , Italo Guarneri , Felix Izrailev

A density functional theory for many-body lattice models is considered in which the single-particle density matrix is the basic variable. Eigenvalue equations are derived for solving Levy's constrained search of the interaction energy…

Strongly Correlated Electrons · Physics 2009-10-31 R. Lopez-Sandoval , G. M. Pastor

With the aim of progressing toward a practical implementation of an effective quantum-electrodynamics (QED) theory of atoms and molecules, which includes the effects of vacuum polarization through the creation of virtual electron-positron…

Quantum Physics · Physics 2025-03-11 Timothée Audinet , Umberto Morellini , Antoine Levitt , Julien Toulouse

A reduced-density-matrix (RDM)-based approach to {\em ab initio} cavity quantum electrodynamics (QED) is developed. The expectation value of the Pauli-Fierz Hamiltonian is expressed in terms of one- and two-body electronic and photonic…

Chemical Physics · Physics 2022-11-23 Joel D. Mallory , A. Eugene DePrince

We use two fundamental theoretical frameworks to study the finite-size (shell) properties of the unitary gas in a periodic box: 1) an ab initio Quantum Monte Carlo (QMC) calculation for boxes containing 4 to 130 particles provides a precise…

Quantum Gases · Physics 2011-06-27 Michael McNeil Forbes , Stefano Gandolfi , Alexandros Gezerlis

We describe a method to obtain the reduced density matrix (RDM) correct up to second order in system-bath coupling in \emph{nonequilibrium} steady state situations. The RDM is obtained via a scheme based on analytic continuation, using the…

Statistical Mechanics · Physics 2013-11-22 Juzar Thingna , Jian-Sheng Wang , Peter Hänggi

Given a specific interacting quantum Hamiltonian in a general spatial dimension, can one access its entanglement properties, such as, the entanglement entropy corresponding to the ground state wavefunction? Even though progress has been…

Strongly Correlated Electrons · Physics 2013-10-01 Tarun Grover

We investigate on the procedure of extracting a "spectral density" from mixed QM/MM calculations and employing it in open quantum systems models. In particular, we study the connection between the energy gap correlation function extracted…

Quantum Physics · Physics 2012-12-12 Stéphanie Valleau , Alex Eisfeld , Alán Aspuru-Guzik

A momentum-space approach of the density-matrix renormalization-group (DMRG) method is developed. Ground state energies of the Hubbard model are evaluated using this method and compared with exact diagonalization as well as quantum…

Condensed Matter · Physics 2009-10-28 T. Xiang

For translationally invariant one-band lattice models, we exploit the ab initio knowledge of the natural orbitals to simplify reduced density matrix functional theory (RDMFT). Striking underlying features are discovered: First, within each…

Quantum Physics · Physics 2019-01-08 Christian Schilling , Rolf Schilling

We propose a framework to construct the ground-state energy and density matrix of an N-electron system by solving selfconsistently a set of single-particle equations. The method can be viewed as a non-trivial extension of the Kohn-Sham…

Chemical Physics · Physics 2009-11-13 D. Van Neck , S. Verdonck , G. Bonny , P. W. Ayers , M. Waroquier

We try to improve the Thomas-Fermi model for the total energy and electron density of atoms and molecules by directly modifying the Euler equation for the electron density, which we argue is less affected by nonlocal corrections. Here we…

Statistical Mechanics · Physics 2007-05-23 Jeng-Da Chai , John D. Weeks

The effects of short-range correlations derived from a realistic meson-exchange potential on the single-particle density matrix in finite nuclei are investigated by analyzing the one-body density in terms of the natural orbits. Basic…

Nuclear Theory · Physics 2016-09-08 A. Polls , H. Müther , W. H. Dickhoff

Coulomb coupled quantum dot arrays with staircase ground state configuration have been proposed in literature for enhancing heat-harvesting and refrigeration performance. However, due to their mutual Coulomb interaction, a performance…

Applied Physics · Physics 2020-08-05 Aniket Singha
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