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Related papers: Droplet Excitations for the Spin-1/2 XXZ Chain wit…

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In this article we study the thermodynamic limit of the form factors of the XXX Heisenberg spin chain using the algebraic Bethe ansatz approach. Our main goal is to express the form factors for the low-lying excited states as determinants…

Mathematical Physics · Physics 2021-12-28 Nikolai Kitanine , Giridhar Kulkarni

We clarify elementary excitations in the $\Delta$-chain. They are found to be `kink'-`antikink' type domain wall excitations to the dimer singlet ground state. The characters of a kink and an antikink are quite different in this system: a…

Condensed Matter · Physics 2009-10-28 Tota Nakamura , Kenn Kubo

Quantum dynamics of strongly correlated systems is a challenging problem. Although the low energy fractional excitations of one dimensional integrable models are often well-understood, exploring quantum dynamics in these systems remains…

Strongly Correlated Electrons · Physics 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

We study disordered XXZ spin chains in the Ising phase exhibiting droplet localization, a single cluster localization property we previously proved for random XXZ spin chains. It holds in an energy interval $I$ near the bottom of the…

Mathematical Physics · Physics 2018-05-09 Alexander Elgart , Abel Klein , Günter Stolz

The scalar products, form factors and correlation functions of the XXZ spin chain with twisted (or antiperiodic) boundary condition are obtained based on the inhomogeneous $T-Q$ relation and the Bethe states constructed via the off-diagonal…

Mathematical Physics · Physics 2020-03-10 Yi Qiao , Zhirong Xin , Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang

We investigate entanglement properties of the excited states of the spin-1/2 Heisenberg (XXX) chain with isotropic antiferromagnetic interactions, by exploiting the Bethe ansatz solution of the model. We consider eigenstates obtained from…

Strongly Correlated Electrons · Physics 2014-10-28 Jan Mölter , Thomas Barthel , Ulrich Schollwöck , Vincenzo Alba

We investigate boundary bound states of sine-Gordon model on the finite-size strip with Dirichlet boundary conditions. For the purpose we derive the nonlinear integral equation (NLIE) for the boundary excited states from the Bethe ansatz…

High Energy Physics - Theory · Physics 2008-11-26 Changrim Ahn , Zoltan Bajnok , Laszlo Palla , Francesco Ravanini

The Drude weight for the spin transport of the spin-1/2 $XXZ$ Heisenberg chain in the critical regime is evaluated exactly for finite temperatures. We combine the thermodynamic Bethe ansatz with the functional relations of type $Y$-system…

Statistical Mechanics · Physics 2019-04-26 Andreas Klümper , Kazumitsu Sakai

Using the Bethe ansatz method and the TBA equations for the higher spin integrable XXZ chain, the regular zero frequency contribution to the spin current correlation (spin dc conductivity) is analyzed for the spin-1/2 XXZ chain with an…

Statistical Mechanics · Physics 2024-04-30 Shinya Ae

We propose a set of conventional Bethe Ansatz equations and a corresponding expression for the eigenvalues of the transfer matrix for the open spin-1/2 XXZ quantum spin chain with nondiagonal boundary terms, provided that the boundary…

High Energy Physics - Theory · Physics 2008-11-26 Rafael I. Nepomechie

We investigate the low-lying excited states of the spin J ferromagnetic XXZ chain with Ising anisotropy Delta and kink boundary conditions. Since the third component of the total magnetization, M, is conserved, it is meaningful to study the…

Mathematical Physics · Physics 2011-11-10 Jaideep Mulherkar , Bruno Nachtergaele , Robert Sims , Shannon Starr

We analyze the ground state of the open spin-1/2 isotropic quantum spin chain with a non-diagonal boundary term using a recently proposed Bethe ansatz solution. As the coefficient of the non-diagonal boundary term tends to zero, the Bethe…

Mathematical Physics · Physics 2015-06-17 Rafael I. Nepomechie , Chunguang Wang

The Heisenberg XXZ spin-1/2 chain is considered in the massive antiferromagnetic regime in the presence of a staggered longitudinal magnetic field. The Hamiltonian of the model is characterised by the anisotropy parameter $\Delta<-1$, and…

Statistical Mechanics · Physics 2018-04-18 S. B. Rutkevich

At large values of the anisotropy \Delta, the open-boundary Heisenberg spin-1/2 chain has eigenstates displaying localization at the edges. We present a Bethe ansatz description of this `edge-locking' phenomenon in the entire \Delta>1…

Strongly Correlated Electrons · Physics 2013-12-24 Vincenzo Alba , Kush Saha , Masudul Haque

We study the thermodynamic limit of the anisotropic XYZ spin chain with non-diagonal integrable open boundary conditions. Although the $U(1)$-symmetry is broken, by using the new parametrization scheme, we exactly obtain the surface energy…

Mathematical Physics · Physics 2024-10-16 Zhirong Xin , Junpeng Cao , Wen-Li Yang , Yupeng Wang

We find an exact nonequilibrium steady state of an open dissipatively driven XXZ spin-1/2 chain with source or sink spin bath at one end and an arbitrary boundary field at the other end.

Statistical Mechanics · Physics 2026-04-20 V. Popkov , T. Prosen

Exact low-temperature asymptotic behavior of boundary contribution to specific heat and susceptibility in the one-dimensional spin-1/2 XXZ model with exchange anisotropy 1/2 < \Delta \le 1 is analytically obtained using the Abelian…

Strongly Correlated Electrons · Physics 2007-05-23 A. Furusaki , T. Hikihara

We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully…

Statistical Mechanics · Physics 2014-12-09 Chihiro Matsui

We perform a multimode treatment of spin squeezing induced by interactions in atomic condensates, and we show that, at finite temperature, the maximum spin squeezing has a finite limit when the atom number $N\to \infty$ at fixed density and…

Quantum Physics · Physics 2015-06-03 Alice Sinatra , Emilia Witkowska , Yvan Castin

This work extracts, by means of an exact analysis, the singular behaviour of the dynamical response functions -- the Fourier transforms of dynamical two-point functions -- in the vicinity of the various excitation thresholds in the massless…

Mathematical Physics · Physics 2024-06-19 K. K. Kozlowski