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We extend our approach based on the second order perturbation theory in the Coulomb interaction recently developed for quantum dots coupled to superconducting leads to the superconducting double quantum dot setups. Using our perturbative…

Mesoscale and Nanoscale Physics · Physics 2020-07-27 Vladislav Pokorný , Martin Žonda , Georgios Loukeris , Tomáš Novotný

We demonstrate that the effective Hamiltonians obtained with the downfolding procedure based on double unitary coupled cluster (DUCC) ansatz can be used in the context of Greens function coupled cluster (GFCC) formalism to calculate…

Computational Physics · Physics 2020-12-02 Nicholas P Bauman , Bo Peng , Karol Kowalski

We provide quantitative inductive estimates for Green's functions of matrices with (sub)expoentially decaying off diagonal entries in higher dimensions. Together with Cartan's estimates and discrepancy estimates, we establish explicit…

Mathematical Physics · Physics 2023-02-15 Wencai Liu

The effective Hamiltonian of strongly correlated electrons on a square lattice is replaced by a renormalised Hamiltonian and the factors that renormalise the kinetic energy of holes and the Heisenberg spin-spin coupling are calculated using…

Strongly Correlated Electrons · Physics 2007-05-23 F. C. Zhang , C. Gros , T. M. Rice , H. Shiba

We present the renormalized perturbation series for the energy spectrum of the parabolic quantum dot with 2 -- 5 electrons considering ground and the lowest excited states. The proper classification of asymptotic energy levels is performed…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 E. Anisimovas , A. Matulis

GW calculations with fully self-consistent G and W -- based on the iterative solution of the Dyson equation -- provide an approach for consistently describing ground and excited states on the same quantum mechanical level. We show that for…

Materials Science · Physics 2012-09-27 Fabio Caruso , Patrick Rinke , Xinguo Ren , Matthias Scheffler , Angel Rubio

We study the frequency and temperature dependence of the optical conductivity in the weakly coupled two-dimensional Hubbard model using a renormalized perturbative expansion. The perturbative expansion is based on the skeleton series for…

Strongly Correlated Electrons · Physics 2023-03-10 M. Grandadam , J. P. F. LeBlanc

We present a novel technique for the calculation of dynamical correlation functions of quantum impurity systems in equilibrium with Wilson's numerical renormalization group. Our formulation is based on a complete basis set of the Wilson…

Strongly Correlated Electrons · Physics 2009-11-11 Robert Peters , Thomas Pruschke , Frithjof B. Anders

Journal of Combinatorial Theory, Series B, 98(1):173-225, 2008n exotic nuclei are studied in the framework of a fully self-consistent relativistic continuum random phase approximation (RCRPA). In this method the contribution of the…

Nuclear Theory · Physics 2015-06-17 Ding Yang , Ligang Cao , Zhongyu Ma

The correlation spectrum of fully developed one-dimensional mappings are studied near and at a weakly intermittent situation. Using a suitable infinite matrix representation, the eigenvalue equation of the Frobenius-Perron operator is…

chao-dyn · Physics 2009-10-30 J. Bene , Z. Kaufmann , H. Lustfeld

We discuss the application of two-particle-irreducible (2PI) functional techniques to gauge theories, focusing on the issue of non-perturbative renormalization. In particular, we show how to renormalize the photon and fermion propagators of…

High Energy Physics - Theory · Physics 2010-02-03 Urko Reinosa , Julien Serreau

An approach is presented which allows a self-consistent description of the fragmentation of single-particle strength for nucleons in finite nuclei employing the Greens function formalism. The self-energy to be considered in the Dyson…

Nuclear Theory · Physics 2009-10-22 H. Müther , L. D. Skouras

Calculations of excited states in Green's function formalism often invoke the diagonal approximation, in which the quasiparticle states are taken from a mean-field calculation. Here, we extend the stochastic approaches applied in the…

Computational Physics · Physics 2023-09-28 Annabelle Canestraight , Xiaohe Lei , Khaled Ibrahim , Vojtech Vlcek

We present a new convergent iterative solution for the two lowest quantum wave functions $\psi_{ev}$ and $\psi_{od}$ of the Hamiltonian with a quartic double well potential $V$ in one dimension. By starting from a trial function, which is…

Quantum Physics · Physics 2009-11-07 R. Friedberg , T. D. Lee , W. Q. Zhao , A. Cimenser

We suggest a new method of calculations for a clean Fermi gas with a repulsion in any dimension. This method is based on writing equations for quasiclassical Green functions and reducing them to equations for collective spin and charge…

Strongly Correlated Electrons · Physics 2009-11-11 I. L. Aleiner , K. B. Efetov

We propose a quantum-Hamiltonian-learning-based sequential reconstruction framework for dynamic two-dimensional magnetic-field maps using a local likelihood model derived from a nitrogen-vacancy-center spin-1 Hamiltonian. Local measurements…

Quantum Physics · Physics 2026-05-26 Hiroshi Yamauchi , Sophie Colleen Stearn , Samuel Tovey

We develop an efficient method to calculate the third-order corrections to the self-energy of the hole-doped two-dimensional Hubbard model in space-time representation. Using the Dyson equation we evaluate the renormalized spectral function…

Strongly Correlated Electrons · Physics 2009-10-31 V. Zlatic , B. Horvatic , B. Dolicki , S. Grabowski , P. Entel , K. -D. Schotte

A microscopic model aimed at the description of charge-exchange nuclear excitations along isotopic chains which include open-shell systems, is developed. It consists of quasiparticle random phase approximation (QRPA) made on top of…

Nuclear Theory · Physics 2009-02-18 S. Fracasso , G. Colo`

We show that the perturbative expansion of the two-level correlation function, $R(\omega)$, in disordered conductors can be understood semiclassically in terms of self-intersecting particle trajectories. This requires the extension of the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Robert A. Smith , Igor V. Lerner , Boris L. Altshuler

We present an application of a new formalism to treat the quantum transport properties of fully interacting nanoscale junctions. We consider a model single-molecule nanojunction in the presence of two kinds of electron-vibron interactions.…

Mesoscale and Nanoscale Physics · Physics 2013-04-08 H. Ness , L. K. Dash