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We consider three-body systems in two dimensions with zero-range interactions for general masses and interaction strengths. The momentum-space Schr\"odinger equation is solved numerically and in the Born-Oppenheimer (BO) approximation. The…

量子气体 · 物理学 2013-02-13 F. F. Bellotti , T. Frederico , M. T. Yamashita , D. V. Fedorov , A. S. Jensen , N. T. Zinner

The amount of entanglement that exists in a parametric down-converted state is investigated in terms of all the degrees of freedom of the state. We quantify the amount of entanglement by the Schmidt number of the state, represented as a…

量子物理 · 物理学 2020-05-13 Filippus S. Roux

The Lorentz transformation properties of the equal-time bound-state Bethe-Salpeter amplitude in the two-dimensional massless quantum electrodynamics (the so called Schwinger Model) are considered. It is shown that while boosting a bound…

高能物理 - 理论 · 物理学 2015-10-28 Tomasz Radozycki

The lattice Schwinger model (SM), the discrete version of QED in 1+1 dimensions, is a well-studied test bench for lattice gauge theories. Here we study the fractal properties of the SM. We reveal the self-similarity of the ground state,…

量子物理 · 物理学 2024-02-07 E. V. Petrova , E. S. Tiunov , M. C. Bañuls , A. K. Fedorov

A strong-coupling expansion for the antiferromagnetic phase of the Hubbard model is derived in the framework of the slave-boson mean-field approximation. The expansion can be obtained in terms of moments of the density of states of freely…

凝聚态物理 · 物理学 2009-10-28 P. J. H. Denteneer

Using the Wick-Cutkosky model and an extended version (massive exchange) of it, we have calculated the bound states in a quantum field theoretical approach. In the light-front formalism we have calculated the bound-state mass spectrum and…

高能物理 - 唯象学 · 物理学 2009-11-07 B. L. G. Bakker , M. van Iersel , F. Pijlman

The solution of the Bethe-Salpeter equation within the framework of many-body perturbation theory has turned out to be a benchmark for ab-initio calculations of optical properties of semiconductors and insulators. Commonly, however, the…

材料科学 · 物理学 2013-06-24 Peter Puschnig , Christian Meisenbichler , Claudia Draxl

The massive Schwinger model is studied, using a density matrix renormalization group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit…

高能物理 - 格点 · 物理学 2009-11-07 T. Byrnes , P. Sriganesh , R. J. Bursill , C. J. Hamer

In this work, we consider an extension to the matching procedure proposed by Brodsky and de Teramond to obtain the two-body wave functions in the light-front formalism for holographic models. We compute the light-front wave function (LFWF)…

高能物理 - 唯象学 · 物理学 2020-08-26 Alfredo Vega , Miguel Angel Martin Contreras

We extend the study of finite-entanglement scaling from one-dimensional gapless models to two-dimensional systems with a Fermi surface. In particular, we show that the entanglement entropy of a contractible spatial region with linear size…

强关联电子 · 物理学 2024-01-11 Quinten Mortier , Ming-Hao Li , Jutho Haegeman , Nick Bultinck

We construct a Schrodinger-like equation for the longitudinal wave function of a meson in the valence qq-bar sector, based on the 't Hooft model for large-N two-dimensional QCD, and combine this with the usual transverse equation from…

高能物理 - 唯象学 · 物理学 2015-06-05 S. S. Chabysheva , J. R. Hiller

We study an attractive $\phi^4$ interaction using Tamm-Dancoff truncation with light-front coordinates in $3+1$ dimensions. The truncated theory requires a coupling constant renormalization, we compute its $\beta$ function…

高能物理 - 理论 · 物理学 2019-01-08 O. Teoman Turgut , Gökhan Yalnız

The electronic and magnetic properties of many strongly-correlated systems are controlled by a limited number of states, located near the Fermi level and well isolated from the rest of the spectrum. This opens a formal way for combining the…

强关联电子 · 物理学 2010-07-15 I. V. Solovyev

The massive Schwinger model is studied, using a density matrix renormalisation group approach to the staggered lattice Hamiltonian version of the model. Lattice sizes up to 256 sites are calculated, and the estimates in the continuum limit…

高能物理 - 格点 · 物理学 2009-11-07 T. Byrnes , P. Sriganesh , R. J. Bursill , C. J. Hamer

For a general two-body bound state in quantum mechanics, both in the stable and decaying cases, we establish a way to extract its two-body wave function in momentum space from the scattering amplitude of the constituent two particles. For…

量子物理 · 物理学 2017-03-08 Takayasu Sekihara

We investigate the stability of the relativistic three-fermion system with a zero-range force in the light front form. In particular, introducing an invariant cut-off, we study the dependence of the bound state on the coupling strength also…

核理论 · 物理学 2011-03-04 Stefano Mattiello , Stefan Strauss

We evaluate the entanglement entropy and entropic function of massive two dimensional QED (Schwinger model) at finite temperature, density, and $\theta$-angle. In the strong coupling regime, the entropic function is dominated by the boson…

高能物理 - 理论 · 物理学 2024-01-30 Sebastian Grieninger , Kazuki Ikeda , Dmitri E. Kharzeev , Ismail Zahed

This paper deals with the comparison between the strong Thomas-Fermi theory and the quantum mechanical ground state energy of a large atom confined to lowest Landau band wave functions. Using the tools of microlocal semiclassical spectral…

数学物理 · 物理学 2009-11-07 Christian Hainzl

The relativistic fermion-antifermion bound state vector potential of constraint theory is calculated, in perturbation theory, by means of the Lippmann-Schwinger type equation that relates it to the scattering amplitude. Leading…

高能物理 - 唯象学 · 物理学 2009-10-28 H. Jallouli , H. Sazdjian

The quantum-mechanical three-body problem is one of the fundamental challenges of few-body physics. When the two-body interactions become resonant, an infinite series of universal three-body bound states is predicted to occur, whose…