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The essential quantum many-body physics of an ultracold quantum gas relies on the single-particle Green's functions.\ We demonstrate that it can be extracted by the spectrum of electromagnetically induced transparency (EIT).\ The…

量子气体 · 物理学 2014-11-03 H. H. Jen , Daw-Wei Wang

We study tunneling of weakly-interacting spinless electrons at zero temperature through a single delta-barrier in one-dimensional wires and rings of finite lengths. Our numerical calculations are based on the self-consistent Hartree-Fock…

介观与纳米尺度物理 · 物理学 2009-11-13 Andrej Gendiar , Martin Mosko , Pavel Vagner , Radoslav Nemeth

The electromagnetic Green's function is a crucial ingredient for the theoretical study of modern photonic quantum devices, but is often difficult or even impossible to calculate directly. We present a numerically efficient framework for…

介观与纳米尺度物理 · 物理学 2026-04-15 Robert Meiners Fuchs , Juanjuan Ren , Stephen Hughes , Marten Richter

This introduction to Green's functions is based on their role as kernels of differential equations. The procedures to construct solutions to a differential equation with an external source or with an inhomogeneity term are put together to…

介观与纳米尺度物理 · 物理学 2008-02-22 Ursula Schröter

We study the low-energy limit of a quarter-filled one-dimensional Mott insulator. We analytically determine the local density of states in the presence of a strong impurity potential, which is modeled by a boundary. To this end we calculate…

强关联电子 · 物理学 2013-01-14 Dirk Schuricht

Computationally inexpensive approximations describing electron-phonon scattering in molecular-scale conductors are derived from the non-equilibrium Green's function method. The accuracy is demonstrated with a first principles calculation on…

介观与纳米尺度物理 · 物理学 2007-05-23 Magnus Paulsson , Thomas Frederiksen , Mads Brandbyge

A GW-BSE approximation scheme is assessed by applying it to a model of asymmetric two-dimensional (2D) interacting electron system. The model is assumed to have a parabolic band characterized by two independent effective mass parameters. A…

材料科学 · 物理学 2026-05-26 Xiaoguang Wu

In this work we perform a Green's function analysis of giant-dipole systems. First we derive the Green's functions of different magnetically field-dressed systems, in particular of electronically highly excited atomic species in crossed…

原子物理 · 物理学 2018-01-17 Thomas Stielow , Stefan Scheel , Markus Kurz

Using $\epsilon$ expansion proposed in \cite{Nishida:2006br} we calculate density correlation function of the degenerate Fermi gas at infinite scattering length to next-to-leading order in $\epsilon$ for excitation energies below quasi…

核理论 · 物理学 2013-05-29 Andrei Kryjevski

Criticality in models of correlated electrons emerges in proximity of a low-temperature singularity in a two-particle Green function. Such singularities are generally related to a symmetry breaking of the one-particle self-energy. A…

强关联电子 · 物理学 2017-01-17 Václav Janiš , Anna Kauch , Vladislav Pokorný

We derive an exact representation of the exchange-correlation energy within density functional theory (DFT) which spawns a class of approximations leading to correct long-range asymptotic behavior. In what amounts to be the simplest…

材料科学 · 物理学 2009-11-10 Roi Baer , Daniel Neuhauser

We present a model space particle-hole Green's function calculation for the quadrupole excitations of cold Fermi gas near Feshbach resonance using a simple model where atoms are confined in a harmonic oscillator potential. Both the…

其他凝聚态物理 · 物理学 2007-05-23 Lai-Wa Siu , T. T. S. Kuo , B. A. Gelman

Recent developments in the physics of low density trapped gases make it worthwhile to verify old, well known results that, while plausible, were based on perturbation theory and assumptions about pseudopotentials. We use and extend recently…

数学物理 · 物理学 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej

Based solely on the analytical properties of the single-particle Green's function of fermions at finite temperatures, we show that the generalized Luttinger theorem inherently possesses topological aspects. The topological interpretation of…

强关联电子 · 物理学 2017-09-01 Kazuhiro Seki , Seiji Yunoki

Path-integral methods can be used to derive a `path-decomposition expansion' for the temperature Green function of a magnetized free-electron gas confined by a hard wall. With the help of this expansion the asymptotic behaviour of the…

统计力学 · 物理学 2009-10-31 M. M. Kettenis , L. G. Suttorp

We study inelastic electron tunneling through a molecular junction using the non-equilibrium Green function (NEGF) formalism. The effect of the mutual influence between the phonon and the electron subsystems on the electron tunneling…

介观与纳米尺度物理 · 物理学 2009-11-10 Michael Galperin , Mark A. Ratner , Abraham Nitzan

The dyadic Green's function of the inhomogeneous vector Helmholtz equation describes the field pattern of a single frequency point source. It appears in the mathematical description of many areas of electromagnetism and optics including…

光学 · 物理学 2015-12-23 J. A. Crosse , Sebastian Fuchs , Stefan Yoshi Buhmann

We consider itinerant spinless fermions as moving defects in a dilute two-dimensional frustrated Ising system where they occupy site vacancies. Fermions interact via local spin fluctuations and we analyze coupled self-consistent mean-field…

统计力学 · 物理学 2021-11-10 Jean-Yves Fortin , Pierrick Lample

We present an extension of the Tomonaga-Luttinger model in which left and right-moving particles have different Fermi velocities. We derive expressions for one-particle Green's functions, momentum-distributions, density of states, charge…

强关联电子 · 物理学 2016-08-16 Victoria I. Fernández , Aníbal Iucci , Carlos M. Naón

We consider density functionals for exchange and correlation energies in two-dimensional systems. The functionals are constructed by making use of exact constraints for the angular averages of the corresponding exchange and correlation…

强关联电子 · 物理学 2010-02-25 E. Rasanen , S. Pittalis