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Related papers: Towards a Non-equilibrium Bethe ansatz for the Kon…

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We continue our study of the emergence of Non-Equilibrium Steady States in quantum integrable models focusing on the expansion of a Lieb-Liniger gas for arbitrary repulsive interaction. As a first step towards the derivation of the…

Statistical Mechanics · Physics 2020-10-08 Spyros Sotiriadis

We evaluate the exact energy current and scaled cumulant generating function (related to the large-deviation function) in non-equilibrium steady states with energy flow, in any integrable model of relativistic quantum field theory (IQFT)…

High Energy Physics - Theory · Physics 2015-07-28 Olalla Castro-Alvaredo , Yixiong Chen , Benjamin Doyon , Marianne Hoogeveen

Integrable models provide an exact description for a wide variety of physical phenomena. For example nested integrable systems contain different species of interacting particles with a rich phenomenology in their collective behavior, which…

Statistical Mechanics · Physics 2017-08-22 Márton Mestyán , Bruno Bertini , Lorenzo Piroli , Pasquale Calabrese

We consider correlation functions in one dimensional quantum integrable models related to the algebra symmetries $\mathfrak{gl}(2|1)$ and $\mathfrak{gl}(3)$. Using the algebraic Bethe Ansatz approach we develop an expansion theorem, which…

Statistical Mechanics · Physics 2021-02-03 Arthur Hutsalyuk , Balázs Pozsgay , Levente Pristyák

The Bethe Ansatz is a method that is used in quantum integrable models in order to solve them explicitly. This method is explained here in a general framework, which applies to 1D quantum spin chains, 2D statistical lattice models (vertex…

solv-int · Physics 2007-05-23 P. Zinn-Justin

We derive thermodynamic Bethe ansatz equations describing the vacuum energy of the SU(2N)/Sp(N) nonlinear sigma model on a cylinder geometry. The starting points are the recently-proposed amplitudes for the scattering among the physical,…

High Energy Physics - Theory · Physics 2015-06-26 Andrei Babichenko , Roberto Tateo

On the basis of Bethe ansatz solution of one dimensional Kondo model with electronic interaction, the thermodynamics equilibrium of the system in finite temperature is studied in terms of the strategy of Yang and Yang. The string hypothesis…

Strongly Correlated Electrons · Physics 2009-10-31 Shi-Jian Gu , You-Quan Li , Hai-Qing Lin

We have constructed a one dimensional exactly solvable model, which is based on the t-J model of strongly correlated electrons, but which has additional quantum group symmetry, ensuring the degeneration of states. We use Bethe Ansatz…

Superconductivity · Physics 2007-05-23 J. Ambjorn , A. Avakyan , T. Hakobyan , A. Sedrakyan

The quintessential description of Kondo physics in equilibrium is obtained within a scaling picture that shows the buildup of Kondo screening at low temperature. For the non-equilibrium Kondo model with a voltage bias the key new feature…

Strongly Correlated Electrons · Physics 2010-03-22 Peter Fritsch , Stefan Kehrein

The thermodynamics of the dissipative two-state system is calculated exactly for all temperatures and level asymmetries for the case of Ohmic dissipation. We exploit the equivalence of the two-state system to the anisotropic Kondo model and…

Strongly Correlated Electrons · Physics 2009-10-31 T. A. Costi , G. Zarand

The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining the Bethe states of the system are constructed through a…

Exactly Solvable and Integrable Systems · Physics 2015-05-18 N. Cirilo-Antonio , N. Manojlovic , A. Stolin

While the properties of the Kondo model in equilibrium are very well understood, much less is known for Kondo systems out of equilibrium. We study the properties of a quantum dot in the Kondo regime, when a large bias voltage V and/or a…

Strongly Correlated Electrons · Physics 2009-11-10 A. Rosch , J. Paaske , J. Kroha , P. Wölfle

Integrable quantum spin chains display distinctive physical properties making them a laboratory to test and assess different states of matter. The study of the finite temperature properties is possible by use of the thermodynamic Bethe…

Mathematical Physics · Physics 2024-08-19 T. S. Tavares , I. R. Passos , A. Klümper

Integrable extended Hubbard models arising from symmetric group solutions are examined in the framework of the graded Quantum Inverse Scattering Method. The Bethe ansatz equations for all these models are derived by using the algebraic…

Strongly Correlated Electrons · Physics 2009-11-07 Anthony J. Bracken , Xiang-Yu Ge , Mark D. Gould , Jon Links , Huan-Qiang Zhou

The SU(N) generalization of the multi-channel Kondo model with arbitrary rectangular impurity representations is considered by means of the Bethe Ansatz. The thermodynamics of the model is analyzed by introducing modified fusion equations…

Condensed Matter · Physics 2009-10-31 N. Andrei , P. Zinn-Justin

We report on a new approach to the calculation of thermodynamic functions for crossing-invariant models solvable by Bethe Ansatz. In the case of the XXZ Heisenberg chain we derive, for arbitrary values of the anysotropy, a single non-linear…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega

Inspired by recent results in the context of AdS/CFT integrability, we reconsider the Thermodynamic Bethe Ansatz equations describing the 1D fermionic Hubbard model at finite temperature. We prove that the infinite set of TBA equations are…

High Energy Physics - Theory · Physics 2015-06-04 Andrea Cavaglià , Martina Cornagliotto , Massimo Mattelliano , Roberto Tateo

We use the coordinate Bethe ansatz to exactly calculate matrix elements between eigenstates of the Lieb-Liniger model of one-dimensional bosons interacting via a two-body delta-potential. We investigate the static correlation functions of…

Quantum Gases · Physics 2016-04-15 J. C. Zill , T. M. Wright , K. V. Kheruntsyan , T. Gasenzer , M. J. Davis

We present a {\it nonequilibrium nonperturbative} field theory for the Kondo effect in strongly interacting quantum dots at finite temperatures. Unifying the slave-boson representation with the Keldysh field integral an effective Keldysh…

Mesoscale and Nanoscale Physics · Physics 2011-09-08 Sergey Smirnov , Milena Grifoni

Thermalization of isolated quantum systems is a long-standing fundamental problem where different mechanisms are proposed over time. We contribute to this discussion by classifying the diverse quench dynamical behaviours of spin-1…

Quantum Physics · Physics 2018-02-07 Ceren B. Dağ , Sheng-Tao Wang , L. -M. Duan
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