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We investigate the interacting, one-dimensional Rice-Mele model, a prototypical fermionic model of topological properties. To set the stage, we firstly compute the single-particle spectral function, the local density, and the boundary…

Strongly Correlated Electrons · Physics 2020-09-03 Y. -T. Lin , D. M. Kennes , M. Pletyukhov , C. S. Weber , H. Schoeller , V. Meden

Numerical renormalization group (NRG) is formulated for nonequilibrium steady-state by converting finite-lattice many-body eigenstates into scattering states. Extension of the full-density-matrix NRG for a biased Anderson impurity model,…

Strongly Correlated Electrons · Physics 2025-10-14 Jong E. Han

The physical mass scales that determine the behaviour of general (simply-laced) Homogeneous Sine-Gordon models are investigated by means of a study of their finite-size effects, using the thermodynamic Bethe ansatz. These models describe…

High Energy Physics - Theory · Physics 2007-05-23 Patrick Dorey , J. Luis Miramontes

A quantum integrable spin chain model associated with the $G_2$ exceptional Lie algebra is studied. By using the fusion technique, the closed recursive relations among the fused transfer matrices are obtained. These identities allow us to…

Mathematical Physics · Physics 2024-12-18 Guang-Liang Li , Junpeng Cao , Pei Sun , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We propose toy models of unconventional magnetic alloys, in which the density of band states, $\rho(\epsilon)$, and hybridization, $t(\epsilon)$, are energy dependent; it is assumed, however, that $t^2(\epsilon)\propto\rho^{-1}(\epsilon)$,…

Strongly Correlated Electrons · Physics 2009-10-31 Valery I. Rupasov

We present a general technique to obtain the zero temperature full counting statistics of charge transfer in interacting impurity models out of equilibrium from time-dependent simulations on a lattice. We demonstrate the technique with…

Strongly Correlated Electrons · Physics 2012-05-23 Sam T. Carr , Dmitry A. Bagrets , Peter Schmitteckert

We describe an integrable model, related to the Gaudin magnet, and its relation to the matrix model of Brezin, Itzykson, Parisi and Zuber. Relation is based on Bethe ansatz for the integrable model and its interpretation using orthogonal…

High Energy Physics - Theory · Physics 2009-11-10 B. Jurco

A recently proposed strongly correlated electron system associated with the Temperley-Lieb algebra is solved by means of the coordinate Bethe ansatz for periodic and closed boundary conditions.

solv-int · Physics 2009-10-31 A. Lima-Santos , I. Roditi , A. Foerster

We study the exact solution for a two-mode model describing coherent coupling between atomic and molecular Bose-Einstein condensates (BEC), in the context of the Bethe ansatz. By combining an asymptotic and numerical analysis, we identify…

Statistical Mechanics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie

We study the exact solutions of quantum integrable model associated with the $C_n$ Lie algebra, with either a periodic or an open one with off-diagonal boundary reflections, by generalizing the nested off-diagonal Bethe ansatz method.…

Mathematical Physics · Physics 2021-02-25 Guang-Liang Li , Panpan Xue , Pei Sun , Hulin Yang , Xiaotian Xu , Junpeng Cao , Tao Yang , Wen-Li Yang

We corrected the sign error in applying the Scattering Bethe Ansatz on the Interacting Resonance Level Model and added some comments.

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

A model describing coherent quantum tunneling between two trapped Bose-Einstein condensates is shown to admit an exact solution. The spectrum is obtained by the algebraic Bethe ansatz. An asymptotic analysis of the Bethe ansatz equations…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Huan-Qiang Zhou , Jon Links , Ross H. McKenzie , Xi-Wen Guan

We present an exact diagonalization study of the spectral properties of bosons harmonically confined in a quasi-2D plane and interacting via repulsive Gaussian potential. We consider the lowest $100$ energy levels for systems of $N=12, 16$…

Quantum Gases · Physics 2026-01-29 Mohd Talib , M. A. H. Ahsan

A simple model of nucleons coupled to angular momentum zero (s-pairs) occupying the valance shell of a semi-magic nuclei is considered. The model has a separable, orbit dependent pairing interaction which dominates over the kinetic term. It…

Nuclear Theory · Physics 2008-11-26 A. B. Balantekin , N. Guven , Y. Pehlivan

We analyze the energy terms corresponding to the spin-spin exchange and spin-random field coupling of the zero temperature random-field Ising model on the Bethe lattice driven by an external field with metastable dynamics. Exact results are…

Disordered Systems and Neural Networks · Physics 2009-11-10 Xavier Illa , Jordi Ortin , Eduard Vives

We apply Quantum Monte Carlo technique to analyze the non equlibrium state of a trapped 1d Bose gas just after the quenching of the confining potential. As a matter of fact we solve the time dependent Schroedinger equation for the system of…

Quantum Gases · Physics 2017-05-23 Sumita Datta , Maxim Olshanii

We describe a non-perturbative method for computing the energy band structures of one-dimensional models with general point potentials sitting at equally spaced sites. This is done thanks to a Bethe ansatz approach and the method is…

Other Condensed Matter · Physics 2010-04-05 V. Caudrelier , N. Crampe

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is…

Statistical Mechanics · Physics 2009-11-13 K. Morawetz , M. Maennel , M. Schreiber

We study the spectrum of the scaling Lee-Yang model on a finite interval from two points of view: via a generalisation of the truncated conformal space approach to systems with boundaries, and via the boundary thermodynamic Bethe ansatz.…

High Energy Physics - Theory · Physics 2009-10-30 Patrick Dorey , Andrew Pocklington , Roberto Tateo , Gerard Watts

We consider two nonperturbative methods originally used to derive shell model effective interactions in nuclei. These methods have been applied to the two nucleon sector to obtain an energy independent effective interaction V_{low k}, which…

Nuclear Theory · Physics 2007-05-23 S. K. Bogner , A. Schwenk , T. T. S. Kuo , G. E. Brown