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We consider scattering and transport in interacting quantum wires that are connected to leads. Such a setup can be represented by a minimal model of interacting fermions with inhomogeneities in the form of sudden changes in interaction…

Strongly Correlated Electrons · Physics 2012-09-10 N. Sedlmayr , J. Ohst , I. Affleck , J. Sirker , S. Eggert

The boundary conformal field theory approach to quantum impurity problems is used to study the Fermi edge singularity, occuring in the X-ray adsorption probablility. The deep-hole creation operator, in the effective low-energy theory,…

Condensed Matter · Physics 2009-10-22 Ian Affleck , Andreas W. W. Ludwig

Induced interactions and bound states of charge carriers immersed in a quantum medium are crucial for the investigation of quantum transport. Ultracold atom-ion systems can provide a convenient platform for studying this problem. Here, we…

Quantum Gases · Physics 2023-03-29 G. E. Astrakharchik , L. A. Peña Ardila , K. Jachymski , A. Negretti

We consider the effect of isotropic impurity scattering on the exotic superconducting states that arise from the usual BCS mechanism in substances of cubic and hexagonal symmetry where the Fermi surface contains inequivalent but degenerate…

Superconductivity · Physics 2009-10-31 D. F. Agterberg , Victor Barzykin , Lev P. Gor'kov

We calculate the density of states for an interacting quantum wire in the presence two impurities of arbitrary potential strength. To perform this calculation, we describe the Coulomb interactions in the wire within the Tomonaga-Luttinger…

Mesoscale and Nanoscale Physics · Physics 2014-08-12 R. Zamoum , M. Guigou , C. Bena , A. Crépieux

Discovery of novel spin-orbital entangled quantum ground states paves an important avenue for controllable quantum materials via unique couplings to the lattice and other external perturbations. In this work, motivated by recent experiments…

Strongly Correlated Electrons · Physics 2020-03-11 Adarsh S. Patri , Ilia Khait , Yong Baek Kim

We examine the bound state(s) associated with a single cubic nonlinear impurity, in a one-dimensional tight-binding lattice, where hopping to first--and--second nearest neighbors is allowed. The model is solved in closed form {\em v\`{\i}a}…

Disordered Systems and Neural Networks · Physics 2009-11-07 M. I. Molina

We review the non-perturbative theoretical framework set up recently to compute the inelastic scattering cross section from quantum impurities [G. Zar\'and {\it et al.}, Phys. Rev. Lett. {\bf 93}, 107204 (2004)] and show how it can be…

Strongly Correlated Electrons · Physics 2007-11-27 G. Zarand , L. Borda

In this work we consider an interface logistic problem where two populations live in two different regions, separated by a membrane or interface where it happens an interchange of flux. Thus, the two populations only interact or are coupled…

Analysis of PDEs · Mathematics 2024-02-15 Pablo Álvarez-Caudevilla , Cristina Brändle , Mónica Molina-Becerra , Antonio Suárez

Scrambling in many-body quantum systems causes initially local observables to spread uniformly over the whole available Hilbert space under unitary dynamics, which in lattice systems causes exponential suppression of dynamical correlation…

Statistical Mechanics · Physics 2022-07-27 Felix Fritzsch , Tomaž Prosen

We study induced pairing between two identical fermions mediated by an attractively interacting quantum impurity in two-dimensional systems. Based on a Stochastic Variational Method (SVM), we investigate the influence of confinement and…

We study the properties of spin-less non-interacting fermions trapped in a confining potential in one dimension but in the presence of one or more impurities which are modelled by delta function potentials. We use a method based on the…

Statistical Mechanics · Physics 2021-05-03 David S. Dean , Pierre Le Doussal , Satya N. Majumdar , Gregory Schehr

We present improvements of a recently introduced numerical method [Arrigoni etal, Phys. Rev. Lett. 110, 086403 (2013)] to compute steady state properties of strongly correlated electronic systems out of equilibrium. The method can be…

Strongly Correlated Electrons · Physics 2015-12-22 Irakli Titvinidze , Antonius Dorda , Wolfgang von der Linden , Enrico Arrigoni

We study systems of multiple interacting quantum impurities deposited on a metallic surface in a 3D host. For the real-space two-impurity problem, using numerical renormalization group calculations, a rich range of behavior is shown to…

Strongly Correlated Electrons · Physics 2015-06-16 Andrew K. Mitchell , Philip G. Derry , David E. Logan

We present and analyze an exactly solvable interacting fermionic pairing model, which features interactions that entangle states at momenta $\mathbf{k}$ and $-\mathbf{k}$. These interactions give rise to novel correlated ground states,…

Strongly Correlated Electrons · Physics 2026-01-23 Santhosh M , Jorge Dukelsky , Gerardo Ortiz

Recently the authors developed a scattering approach that allows for a complete description of the steady-state physics of quantum-impurities in and out of equilibrium. Quantum impurities are described using scattering eigenstates defined…

Strongly Correlated Electrons · Physics 2007-05-23 Pankaj Mehta , Natan Andrei

We develop the impurity lattice Monte Carlo formalism, for the case of two distinguishable impurities in a bath of polarized fermions. The majority particles are treated as explicit degrees of freedom, while the impurities are described by…

Nuclear Theory · Physics 2022-09-21 Fabian Hildenbrand , Serdar Elhatisari , Timo A. Lähde , Dean Lee , Ulf-G. Meißner

We investigate the dynamics of heavy impurities embedded in an ultra-cold Fermi gas by using a Generalized Langevin equation. The latter -- derived by means of influence functional theory -- describes the stochastic classical dynamics of…

In this manuscript we analyse properties of bound states of an atom interacting with a set of static impurities. We begin with the simplest system of a single atom interacting with two static impurities. We consider two types of…

Quantum Gases · Physics 2021-01-04 Marta Sroczyńska , Zbigniew Idziaszek

We (re) consider in this paper the problem of tunneling through an impurity in a quantum wire with arbitrary Luttinger interaction parameter. By combining the integrable approach developed in the case of Quantum Hall edge states with the…

Strongly Correlated Electrons · Physics 2009-10-31 A. Koutouza , F. Siano , H. Saleur