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The recently proposed diagrammatic expansion (DE) technique for the full Gutzwiller wave function (GWF) is applied to the Anderson lattice model (ALM). This approach allows for a systematic evaluation of the expectation values with GWF in…

Strongly Correlated Electrons · Physics 2015-09-22 Marcin Wysokinski , Jan Kaczmarczyk , Jozef Spalek

We find the Gutzwiller projected Fermi sea wave function(GWF) has the correct phase structure to describe the kink nature of the doped holes in the ground state of the one dimensional $t-J$ model. We find the failure of the GWF for general…

Superconductivity · Physics 2007-05-23 Hong-Yu Yang , Tao Li

Projected wave functions offer a means for incorporating local correlation effects in gapless electronic phases of matter like metals. Although such wave functions can be readily specified formally, it is challenging to compute their…

Strongly Correlated Electrons · Physics 2025-09-18 Kangle Li , Yan-Bai Zhang , Hoi Chun Po

We use the Hartree-Fock method to study an interacting one-dimensional electron system on a finite wire, partially depleted at the center by a smooth potential barrier. A uniform one-Tesla Zeeman field is applied throughout the system. We…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 Jiang Qian , Bertrand I. Halperin

The tunneling process, a prototypical phenomenon of nonperturbative dynamics, is a natural consequence of photocarrier generation in materials irradiated by a strong laser. Common treatments for Zener tunneling are based on a one-body…

Mesoscale and Nanoscale Physics · Physics 2023-08-14 Yasushi Shinohara , Haruki Sanada , Katsuya Oguri

The Gutzwiller approximate solution to the Gutzwiller wavefunction yields exact results for the Gutzwiller wavefunction in the infinite dimensional limit. Implicit in the Gutzwiller approximation is an approximate local form of the fermion…

Strongly Correlated Electrons · Physics 2009-07-27 Balazs Hetenyi , Hans Gerd Evertz , Wolfgang von der Linden

We analyze the two-dimensional momentum distribution of electrons ionized by few-cycle laser pulses in the transition regime from multiphoton absorption to tunneling by solving the time-dependent Schr\"odinger equation and by a…

Quantum Physics · Physics 2007-05-23 D. G. Arbó , S. Yoshida , E. Persson , K. I. Dimitriou , J. Burgdörfer

The Ultra Weak Variational Formulation (UWVF) is a special Trefftz discontinuous Galerkin method, here applied to the time-harmonic Maxwell's equations. The method uses superpositions of plane waves to represent solutions element-wise on a…

Numerical Analysis · Mathematics 2024-05-07 Timo Lähivaara , William F. Hall , Matti Malinen , Dale Ota , Vijaya Shankar , Peter Monk

Excitation of finite chains of magnetic atoms adsorbed on a surface by tunnelling electrons from an STM (Scanning Tunnelling Microscope) tip is studied using a Heisenberg Hamiltonian description of the magnetic couplings along the chain and…

Strongly Correlated Electrons · Physics 2010-10-19 J. P. Gauyacq , N. Lorente

The influence of the phases of tunneling matrix elements on the rate of the elastic co--tunneling at an ultrasmall normal--conducting double--junction is studied in a simple quantum--hole approach at zero temperature. The results are…

Condensed Matter · Physics 2009-10-22 Heinz-Olaf Muller , Andreas Hadicke , Wolfram Krech

We develop the concept of scattering matrix and we use it to perform stable numerical calculations of resonant tunneling of electrons through a multiple potential barrier in a semiconductor heterostructure. Electrons move in two external…

Quantum Physics · Physics 2023-07-19 J. Z. Kaminski , E. Saczuk

We propose a Real-Space Gutzwiller variational approach and apply it to a system of repulsively interacting ultracold fermions with spin 1/2 trapped in an optical lattice with a harmonic confinement. Using the Real-Space Gutzwiller…

Strongly Correlated Electrons · Physics 2010-10-26 Jianqing Qi , Lei Wang , Xi Dai

We study the time behavior of wave functions involved in tunneling through a smooth potential barrier in one dimension in the semiclassical limit. We determine the leading order component of the wave function that tunnels. It is…

Mathematical Physics · Physics 2015-05-18 Vasile Gradinaru , George A. Hagedorn , Alain Joye

An asymmetric double quantum wells (QWs) structure with resonant tunneling is suggested to achieve high efficient four wave mixing (FWM). We analytically demonstrate that the resonant tunneling can induce high efficient mixing wave in such…

Quantum Physics · Physics 2013-06-26 Hui Sun , Shuangli Fan , Hongjun Zhang , Shangqing Gong

A theory for the tunneling of one atom out of a trap containing two interacting cold atoms is developed. The quasiparticle wave function, dressed by the interaction with the companion atom in the trap, replaces the non-interacting orbital…

Quantum Gases · Physics 2012-03-19 Massimo Rontani

The tunneling splitting in biaxial ferrimagnetic particles at excited states with an explicit calculation of the prefactor of exponent is obtained in terms of periodic instantons which are responsible for tunneling at excited states and is…

Condensed Matter · Physics 2019-08-17 Yi-Hang Nie , Yan-Hong Jin , J. -Q Liang , F. -C Pu

We compute tunneling in a quantum field theory in 1+1 dimensions for a field potential $U(\Phi)$ of the asymmetric double well type. The system is localized initially in the ``false vacuum''. We consider the case of a {\em compact space}…

High Energy Physics - Theory · Physics 2008-11-26 J. Baacke , N. Kevlishvili

We analyze the tunneling of a particle through a repulsive potential resulting from an inverted harmonic oscillator in the quantum mechanical phase space described by the Wigner function. In particular, we solve the partial differential…

Quantum Physics · Physics 2013-06-07 D. M. Heim , W. P. Schleich , P. M. Alsing , J. P. Dahl , S. Varro

The transfer matrix method (TMM) is widely used to analyze the transport properties of one-dimensional or quasi-one-dimensional systems, such as nanostructures and layered materials in spintronics. However, its application in quantifying…

Mesoscale and Nanoscale Physics · Physics 2024-11-12 Qiang Kang , Chenguang Hu

It was recently shown that tunneling wavefunction proposal is consistent with loop quantum geometry corrections including both holonomy and inverse scale factor corrections in the gravitational part of a spatially closed isotropic model…

General Relativity and Quantum Cosmology · Physics 2023-04-17 Meysam Motaharfar , Parampreet Singh