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We study the asymptotic decay of the Friedel density oscillations induced by an open boundary in a one-dimensional chain of lattice fermions with a short-range two-particle interaction. From Tomonaga-Luttinger liquid theory it is known that…

Strongly Correlated Electrons · Physics 2020-06-24 Jovan Odavić , Nicole Helbig , Volker Meden

We rigorously analyze the quantum phase transition between a metallic and an insulating phase in (non solvable) interacting spin chains or one dimensional fermionic systems. In particular, we prove the persistence of Luttinger liquid…

Mathematical Physics · Physics 2014-06-16 F. Bonetto , V. Mastropietro

The evolution of correlations in the \emph{exactly} solvable Luttinger model (a model of interacting fermions in one dimension) after a sudden interaction switch-on is \emph{analytically} studied. When the model is defined on a finite-size…

Statistical Mechanics · Physics 2007-05-23 M. A. Cazalilla

Entanglement measures constitute powerful tools in the quantitative description of quantum many-body systems out of equilibrium. We study entanglement in the current-carrying steady state of a paradigmatic one-dimensional model of…

Quantum Physics · Physics 2023-10-30 Shachar Fraenkel , Moshe Goldstein

We study operator correlations of a spinful Luttinger liquid after introducing a non-Hermitian interaction quench, yielding supersonic modes and dominant superconducting correlations as signatures of the non-unitary dynamics as well as…

Mesoscale and Nanoscale Physics · Physics 2023-09-29 Ashutosh Dubey , Sourav Biswas , Arijit Kundu

The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators. The…

Strongly Correlated Electrons · Physics 2021-10-15 Fabian B. Kugler , Seung-Sup B. Lee , Jan von Delft

Non-equilibrium quantum dynamics represents an emerging paradigm for condensed matter physics, quantum information science, and statistical mechanics. Strongly interacting Rydberg atoms offer an attractive platform to study…

Quantum Physics · Physics 2014-05-30 S. K. Lee , J. Cho , K. S. Choi

We present a method for investigating the steady-state transport properties of one-dimensional correlated quantum systems. Using a procedure based on our analysis of finite-size effects in a related classical model (LC line) we show that…

Strongly Correlated Electrons · Physics 2012-06-28 M. Einhellinger , A. Cojuhovschi , E. Jeckelmann

We compute exactly the non-equilibrium DC noise in a Luttinger liquid with an impurity and an applied voltage. By generalizing Landauer transport theory for Fermi liquids to interacting, integrable systems, we relate this noise to the…

Condensed Matter · Physics 2009-10-28 P. Fendley , H. Saleur

Fermionic Molecular Dynamics (FMD) models a system of fermions by means of many-body states which are composed of antisymmetrized products of single-particle states. These consist of one or several Gaussians localized in coordinate and…

Nuclear Theory · Physics 2007-05-23 H. Feldmeier , T. Neff , R. Roth , J. Schnack

Predicting the phase diagram of interacting quantum many-body systems is a challenging problem in condensed matter physics. Strong interactions and correlation effects may lead to exotic states of matter, such as quantum spin liquids and…

Strongly Correlated Electrons · Physics 2025-02-18 Pascal M. Vecsei , Jose L. Lado , Christian Flindt

Motivated by recent development of the concept of the disorder operator and its relation with entanglement entropy in bosonic systems, here we show the disorder operator successfully probes many aspects of quantum entanglement in fermionic…

Strongly Correlated Electrons · Physics 2023-09-06 Weilun Jiang , Bin-Bin Chen , Zi Hong Liu , Junchen Rong , Fakher F. Assaad , Meng Cheng , Kai Sun , Zi Yang Meng

We consider fermion-dimer scattering in the presence of a large positive scattering length in the frame of functional renormalization group equations. A flow equation for the momentum dependent fermion-dimer scattering amplitude is derived…

Statistical Mechanics · Physics 2008-11-26 S. Diehl , H. C. Krahl , M. Scherer

It was recently argued that one-dimensional systems of several strongly interacting fermions of different mass undergo critical transitions between different spatial orderings when the external confinement adiabatically changes its shape.…

Quantum Gases · Physics 2021-11-22 Damian Włodzyński , Tomasz Sowiński

The quantum dynamics of correlated fermionic or bosonic many-body systems following external excitation can be successfully studied using nonequilibrium Green functions (NEGF) or reduced density matrix methods. Approximations are introduced…

Strongly Correlated Electrons · Physics 2023-12-27 Erik Schroedter , Björn Jakob Wurst , Jan-Philip Joost , Michael Bonitz

In this work we discuss extensions of the pioneering analysis by Dzyaloshinskii and Larkin of correlation functions for one-dimensional Fermi systems, focusing on the effects of quasiparticle relaxation enabled by a nonlinear dispersion.…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Alex Levchenko , Tobias Micklitz

We present a formalism to study many-particle quantum transport across a lattice locally connected to two finite, non-stationary (bosonic or fermionic) reservoirs, both of which are in a thermal state. We show that, for conserved total…

We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time correlations. Our…

Mathematical Physics · Physics 2019-02-05 N. J. B. Aza , J. -B. Bru , W. de Siqueira Pedra

We study theoretically the luminescence from quantum dots of a ring geometry. For high excitation intensities, photoexcited electrons and holes form Fermi seas. Close to the emission threshold, the single-particle spectral lines aquire weak…

Condensed Matter · Physics 2009-11-07 T. V. Shahbazyan , I. E. Perakis , M. E. Raikh

A crossover theory connecting Altshuler-Aronov electron-electron interaction corrections and Luttinger liquid behavior in quasi-1D disordered conductors has been formulated. Based on an interacting non-linear sigma model, we compute the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christophe Mora , Reinhold Egger , Alexander Altland