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Confined quantum systems involving $N$ identical interacting fermions are found in many areas of physics, including condensed matter, atomic, nuclear and chemical physics. In a previous series of papers, a manybody perturbation method that…

Quantum Physics · Physics 2015-06-18 D. K. Watson

Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculation is a challenging problem, even for exactly solvable…

Statistical Mechanics · Physics 2018-09-19 Ivan Kukuljan , Spyros Sotiriadis , Gabor Takacs

The two-body problem with a central interaction on simply connected constant curvature spaces of an arbitrary dimension is considered. The explicit expression for the quantum two-body Hamiltonian via a radial differential operator and…

Mathematical Physics · Physics 2007-05-23 A. V. Shchepetilov , I. E. Stepanova

We present a method to calculate many-body states of interacting carriers in million atom quantum nanostructures based on atomistic tight-binding calculations and a combination of iterative selection of configurations and perturbation…

Mesoscale and Nanoscale Physics · Physics 2020-05-27 Moritz Cygorek , Matthew Otten , Marek Korkusinski , Pawel Hawrylak

An analysis of the quantum breathing behavior of few-particle Coulomb systems in one- and two-dimensional harmonic traps is presented. We report the existence of \emph{two independent breathing modes} and present exact numerical results for…

Quantum Physics · Physics 2013-05-29 S. Bauch , K. Balzer , C. Henning , M. Bonitz

The study of many-body quantum dynamics in strongly-correlated systems is extremely challenging. To date few numerical methods exist which are capable of simulating the non-equilibrium dynamics of two-dimensional quantum systems, in part…

Quantum Physics · Physics 2024-09-17 S. J. Thomson , J. Eisert

Macroscopic coherence is an important feature of quantum many-body systems exhibiting collective behaviors, with examples ranging from atomic Bose-Einstein condensates, and quantum liquids to superconductors. Probing many-body coherence in…

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

In a physical system with conformal symmetry, observables depend on cross-ratios, measures of distance invariant under global conformal transformations (conformal geometry for short). We identify a quantum information-theoretic mechanism by…

Quantum Physics · Physics 2025-03-19 Isaac H. Kim , Xiang Li , Ting-Chun Lin , John McGreevy , Bowen Shi

Entanglement properties of the trial many-body wave functions in variational treatments of the transverse Ising model in two, three, and four dimensions are investigated. Based on data for magnetizations and correlation functions generated…

Statistical Mechanics · Physics 2007-05-23 J. W. Clark , A. Mandilara , M. L. Ristig

Research on strongly correlated electron systems faces a fundamental challenge due to the complex nature of intrinsic many-body correlations. A key strategy to address this challenge lies in advancing experimental methods that can directly…

Strongly Correlated Electrons · Physics 2026-03-31 Yuehua Su , Guoya Zhang , Chao Zhang , Dezhong Cao

Spatial and momentum correlations are important in the analysis of the quantum states and different phases of trapped ultracold atom systems as a function of the strength of interatomic interactions. Identification and understanding of…

Quantum Gases · Physics 2017-12-08 Benedikt B. Brandt , Constantine Yannouleas , Uzi Landman

We consider the quantum evolution of a pair of interacting atoms in a three dimensional isotropic trap where the interaction strength is quenched from one value to another. Using exact solutions of the static problem we are able to evaluate…

Quantum Gases · Physics 2021-01-19 A. D. Kerin , A. M. Martin

We investigate whether the many-body ground states of bosons in a generalized two-mode model with localized inhomogeneous single-particle orbitals and anisotropic long-range interactions (e.g. dipole-dipole interactions), are coherent or…

Other Condensed Matter · Physics 2009-09-02 Philipp Bader , Uwe R. Fischer

Extending our previous work, we explore the breathing mode---the [uniform] radial expansion and contraction of a spatially confined system. We study the breathing mode across the transition from the ideal quantum to the classical regime and…

Strongly Correlated Electrons · Physics 2012-10-16 Jan Willem Abraham , Karsten Balzer , David Hochstuhl , Michael Bonitz

In the quantum metrology protocol described by Tacla et al. [Tacla et al., Phys. Rev. A 82, 053636 (2010)] where a two mode Bose-Einstein condensate (BEC) is used for parameter estimation, the measured quantity is to be obtained by doing a…

Quantum Physics · Physics 2015-06-17 Salini Jose , Anil Shaji

An interacting lattice model describing the subspace spanned by a set of strongly-correlated bands is rigorously coupled to density functional theory to enable ab initio calculations of geometric and topological material properties. The…

Strongly Correlated Electrons · Physics 2019-03-26 Ryan Requist , E. K. U. Gross

We study transport through an interacting model system consisting of a central correlated site coupled to finite bandwidth tight-binding leads, which are considered as effectively noninteracting. Its nonequilibrium properties are determined…

Mesoscale and Nanoscale Physics · Physics 2011-06-29 A. -M. Uimonen , E. Khosravi , G. Stefanucci , S. Kurth , R. van Leeuwen , E. K. U. Gross

We present a complete analysis of the dynamics of a Bose-Einstein condensate trapped in a symmetric triple-well potential. Our classical analogue treatment, based on a time-dependent variational method using SU(3) coherent states, includes…

Quantum Physics · Physics 2011-04-01 T. F. Viscondi , K. Furuya

We study many-body localization in a one dimensional optical lattice filled with bosons. The interaction between bosons is assumed to be random, which can be realized for atoms close to a microchip exposed to a spatially fluctuating…

Quantum Gases · Physics 2017-12-21 Piotr Sierant , Dominique Delande , Jakub Zakrzewski
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