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We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density…

Strongly Correlated Electrons · Physics 2009-11-13 Benjamin Doyon

We demonstrate that the nonequilibrium steady state (NESS) of an open-system Holstein model with linear bias displays extreme sensitivity to the closed system parameters. This sensitivity is shown to correspond to avoided crossings in the…

Quantum Physics · Physics 2025-02-25 Nishaant Jacobus , Paul Brumer , Chern Chuang

We consider the steady state non-equilibrium physics of the multichannel interacting resonant level model in the weak coupling regime. By using the scattering state method we show in agreement with the rate equations that the negative…

Strongly Correlated Electrons · Physics 2015-05-14 L. Borda , A. Zawadowski

We develop a nonperturbative dynamical theory (NDT) that is useful for treating nonequilibrium transport in a system with strong correlation. We apply our NDT to the single-impurity Anderson model in equilibrium to check its reliability by…

Strongly Correlated Electrons · Physics 2011-11-09 Jongbae Hong , Wonmyung Woo

The study of quantum quenches in integrable systems has significantly advanced with the introduction of the Quench Action method, a versatile analytical approach to non-equilibrium dynamics. However, its application is limited to those…

Statistical Mechanics · Physics 2016-08-24 Lorenzo Piroli , Eric Vernier , Pasquale Calabrese

The term Bethe Ansatz stands for a multitude of methods in the theory of integrable models in statistical mechanics and quantum field theory that were designed to study the spectra, the thermodynamic properties and the correlation functions…

Mathematical Physics · Physics 2024-12-31 Frank Göhmann

We present a construction of non-equilibrium steady states in one-dimensional quantum critical systems carrying energy and charge fluxes. This construction is based on a scattering approach within a real-time hamiltonian reservoir…

Mathematical Physics · Physics 2015-07-28 Denis Bernard , Benjamin Doyon

We present an electronic model with long range interactions. Through the quantum inverse scattering method, integrability of the model is established using a one-parameter family of typical irreducible representations of gl(2|1). The…

Statistical Mechanics · Physics 2007-05-23 K. E. Hibberd , J. R. Links

The non-equilibrium steady states of integrable models are believed to be described by the Generalized Gibbs Ensemble (GGE), which involves all local and quasi-local conserved charges of the model. In this work we investigate integrable…

Statistical Mechanics · Physics 2020-03-04 György Z. Fehér , Balázs Pozsgay

Under certain conditions we prove the existence of a steady-state transport regime for interacting mesoscopic systems coupled to reservoirs (leads). The partitioning and partition-free scenarios are treated on an equal footing. Our…

Mesoscale and Nanoscale Physics · Physics 2015-05-28 Valeriu Moldoveanu , Horia D. Cornean , Claude-Alain Pillet

We develop nonequilibrium auxiliary quantum master equation dual boson method (aux-DB), and argue that it presents a convenient way to describe steady states of correlated impurity models (such as single molecule optoelectronic devices)…

Mesoscale and Nanoscale Physics · Physics 2020-06-29 Feng Chen , Mikhail I. Katsnelson , Michael Galperin

By means of a projector-operator formalism we derive an approximation based on a self consistent hybridization expansion to study the ground state properties of the Anderson Impurity model. We applied the approximation to the general case…

Strongly Correlated Electrons · Physics 2016-04-20 I. J. Hamad , P. Roura-Bas , A. A. Aligia , E. V. Anda

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

A quantum transport model incorporating spin scattering processes is presented using the non-equilibrium Green's function (NEGF) formalism within the self-consistent Born approximation. This model offers a unified approach by capturing the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ahmet Ali Yanik , Gerhard Klimeck , Supriyo Datta

With this work we investigate the stationary nonequilibrium density matrix of current carrying nonequilibrium steady states of in-between quantum systems that are connected to reservoirs. We describe the analytical procedure to obtain the…

Statistical Mechanics · Physics 2015-05-28 Abhishek Dhar , Keiji Saito , Peter Hanggi

A unified integrable system, generating a new series of interacting matter-radiation models with interatomic coupling and different atomic frequencies, is constructed and exactly solved through algebraic Bethe ansatz. Novel features in Rabi…

Quantum Physics · Physics 2016-09-08 Anjan Kundu

The eigenfunctions and eigenvalues of the master-equation for zero range process on a ring are found exactly via the Bethe ansatz. The rates of particle exit from a site providing the Bethe ansatz applicability are shown to be expressed in…

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

We put forth a hitherto unexplored control strategy that enables high-fidelity fast transport of an unstable quantum wavepacket even in the presence of bath-induced dissipation. The wavepacket, which is confined within any shallow…

Quantum Physics · Physics 2025-08-25 Arnab Chakrabarti , Biswarup Ash , Igor Mazets , Xi Chen , Gershon Kurizki

We show that typicality holds for a class of nonequilibrium systems, i.e., nonequilibrium steady states (NESSs): almost all the pure states properly sampled from a certain Hilbert space well represent a NESS and characterize its intrinsic…

Statistical Mechanics · Physics 2014-08-13 Takaaki Monnai , Kazuya Yuasa

We propose a nonequilibrium variational polaron transformation, based on an ansatz for nonequilibrium steady state (NESS) with an effective temperature, to study quantum heat transport at the nanoscale. By combining the variational polaron…

Chemical Physics · Physics 2019-07-05 ChangYu Hsieh , Junjie Liu , Chenru Duan , Jianshu Cao