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We study the time evolution of weakly interacting Bose gases on a three-dimensional torus of arbitrary volume. The coupling constant is supposed to be inversely proportional to the density, which is considered to be large and independent of…

数学物理 · 物理学 2025-12-12 Daniele Ferretti , Kalle Koskinen

The low-energy properties of a homogeneous one-dimensional electron system are completely specified by two Tomonaga-Luttinger parameters $K_{\rho}$ and $v_{\sigma}$. In this paper we discuss microscopic estimates of the values of these…

介观与纳米尺度物理 · 物理学 2011-11-09 Wolfgang Häusler , Lars Kecke , A. H. MacDonald

At very low density, the electrons in a uniform electron gas spontaneously break symmetry and form a crystalline lattice called a Wigner crystal. But which type of crystal will the electrons form? We report a numerical study of the density…

A much-studied system is the quasi-2D electron gas in image-potential bound states at the surface of helium and hydrogen. In this paper, we report on an analogous quasi-1D system: electrons bound by image-like polarization forces to the…

介观与纳米尺度物理 · 物理学 2016-03-29 Michael Liebrecht , Adrian Del Maestro , Milton W. Cole

We present an exact diagonalization study of the breathing mode collective excitations for a rotating Bose-Einstein condensate of $N=10$ spinless bosons interacting via repulsive finite-range Gaussian potential and harmonically confined in…

量子气体 · 物理学 2022-07-01 Mohd. Imran , M. A. H. Ahsan

The two-dimensional electron gas (2DEG) is a fundamental model, which is drawing increasing interest because of recent advances in experimental and theoretical studies of 2D materials. Current understanding of the ground state of the 2DEG…

强关联电子 · 物理学 2025-01-03 Conor Smith , Yixiao Chen , Ryan Levy , Yubo Yang , Miguel A. Morales , Shiwei Zhang

We investigate the possibility that the BEC-like phenomena recently detected on two-dimensional finite trapped systems consist of fragmented condensates. We derive and diagonalize the one-body density matrix of a two-dimensional…

统计力学 · 物理学 2015-06-25 Juan Pablo Fernández , William J. Mullin

We present a theory of the quasi two-dimensional electron gas (2DEG) systems which appear near the surface of SrTiO$_3$ when a large external electric field attracts carriers to the surface. We find that non-linear and non-local screening…

强关联电子 · 物理学 2013-05-30 Guru Khalsa , A. H. MacDonald

The ground states of the two-dimensional repulsive Hubbard model are studied within the unrestricted Hartree-Fock (UHF) theory. Magnetic and charge properties are determined by systematic, large-scale, exact numerical calculations, and…

强关联电子 · 物理学 2013-09-20 Jie Xu , Chia-Chen Chang , Eric J. Walter , Shiwei Zhang

We establish the existence of a hidden degree of freedom and the critical states of a spinless electron system in a spatially-correlated random magnetic field with vanishing mean. Whereas the critical states are carried by the zero-field…

无序系统与神经网络 · 物理学 2009-11-07 Hoang K. Nguyen

We consider free electrons in rectangular quantum dots, with either hard wall boundary conditions or anharmonic confinement. In both cases, due to finite size effects, a homogeneous electric field applied along one of the rectangular axis…

介观与纳米尺度物理 · 物理学 2007-05-23 Stephane Pleutin

As a contribution to the study of Hartree-Fock theory we prove rigorously that the Hartree-Fock approximation to the ground state of the d-dimensional Hubbard model leads to saturated ferromagnetism when the particle density (more…

强关联电子 · 物理学 2007-05-23 Volker Bach , Elliott H. Lieb , Marcos V. Travaglia

We present a high magnetic field study of electron spin waves in atomic hydrogen gas compressed to high densities of 10^18 cm^-3 at temperatures ranging from 0.26 to 0.6 K. We observed a variety of spin wave modes caused by the identical…

量子气体 · 物理学 2013-05-30 O. Vainio , J. Ahokas , S. Novotny , S. Sheludyakov , D. Zvezdov , K. -A. Suominen , S. Vasiliev

By means of ab initio calculations the possibilities of switchable spin-polarized two-dimensional electron gas (2DEG) at the interface of antiferromagnetic and ferroelectric perovskites, i.e., LaMnO3/BaTiO3 superlattice, were investigated.…

材料科学 · 物理学 2022-01-25 Irina Piyanzina , Rinat Mamin

One-dimensional systems of interacting atoms are an ideal laboratory to study the Kosterlitz-Thouless phase transition. In the renormalization group picture there is essentially a two-parameter phase diagram to explore. We first present how…

量子气体 · 物理学 2013-07-01 Thierry Jolicoeur , Evgeni Burovski , Giuliano Orso

The ground and some excited states of the Li atom in external uniform magnetic fields are calculated by means of our 2D mesh Hartree-Fock method for field strengths ranging from zero up to 2.35 10^8 T. With increasing field strength the…

原子物理 · 物理学 2009-10-31 M. V. Ivanov , P. Schmelcher

We consider a gas of weakly interacting bosons in three dimensions subject to an external potential in the mean field regime. Assuming that the initial state of our system is a product state, we show that in the trace topology of one-body…

数学物理 · 物理学 2024-05-01 Charlotte Dietze , Jinyeop Lee

We discuss an exactly solvable model Hamiltonian for describing the interacting electron gas in a quantum dot. Results for a spherical square well confining potential are presented. The ground state is found to exhibit striking oscillations…

材料科学 · 物理学 2009-11-10 R. Saniz , B. Barbiellini , A. B. Denison , A. Bansil

We have studied nonequilibrium dynamics of the one-dimensional Hubbard model using the generalized hydrodynamic theory. We mainly investigated the spatio-temporal profile of charge density, energy density and their currents using the…

统计力学 · 物理学 2020-01-22 Yuji Nozawa , Hirokazu Tsunetsugu

We investigate the accuracy of a number of wavefunction based methods at the heart of quantum chemistry for metallic systems. Using Hartree-Fock as a reference, perturbative (M{\o}ller-Plesset, MP) and coupled cluster (CC) theories are used…

化学物理 · 物理学 2013-10-24 James J. Shepherd , Andreas Grüneis