English
Related papers

Related papers: XXZ chain with a boundary

200 papers

The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of…

Statistical Mechanics · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

In this note, we derive the spectrum of the infinite quantum XXZ spin chain with domain wall boundary conditions. The eigenstates are constructed as limits of Bethe states for the finite XXZ spin chain with quantum sl(2) invariant boundary…

Mathematical Physics · Physics 2009-12-03 Domenico Orlando , Susanne Reffert , Nicolai Reshetikhin

The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown…

Mathematical Physics · Physics 2015-06-12 P. Baseilhac , S. Belliard

We investigate integrable boundary states in the anisotropic Heisenberg chain under periodic or twisted boundary conditions, for both even and odd system lengths. Our work demonstrates that the concept of integrable boundary states can be…

High Energy Physics - Theory · Physics 2026-01-26 Xin Qian , Xin Zhang

The quantum periodic XXZ chain with alternating spins is studied. The properties of the related R-matrix and Hamiltonians are discussed. A compact expression for the ground state energy is obtained. The corresponding conformal anomaly is…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Bytsko , Anastasia Doikou

We consider lambda and anisotropic deformations of the SU(2) principal chiral model and show how they can be quantized in the Hamiltonian formalism on a lattice as a suitable spin chain. The spin chain is related to the higher spin XXZ…

High Energy Physics - Theory · Physics 2018-09-26 Calan Appadu , Timothy J. Hollowood , Dafydd Price , Daniel C. Thompson

We consider integrable models of the Haldane-Shastry type with open boundary conditions. We define monodromy matrices, obeying the reflection equation, which generate the symmetries of these models. Using a map to the Calogero-Sutherland…

High Energy Physics - Theory · Physics 2023-04-10 D. Bernard. V. Pasquier , D. Serban

The quantum spin $1/2$ XXZ chain with anisotropy parameter $\Delta=-1/2$ possesses a dynamic supersymmetry on the lattice. This supersymmetry and a generalisation to higher spin are investigated in the case of open spin chains. A family of…

Mathematical Physics · Physics 2017-04-26 Christian Hagendorf , Jean Liénardy

An analytic method is proposed to compute the surface energy and elementary excitations of the XXZ spin chain with generic non-diagonal boundary fields. For the gapped case, in some boundary parameter regimes the contributions of the two…

Statistical Mechanics · Physics 2021-07-01 Yi Qiao , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

We propose a protocol to construct atypical high-energy eigenstates in quantum systems by using ground states of Hamiltonians deformed by conserved charges. For the spin-1/2 Heisenberg XXX chain we study a chiral Hamiltonian built from the…

Strongly Correlated Electrons · Physics 2025-12-11 Tigran A. Sedrakyan , Junjun Pang , Chenan Wei , Baigeng Wang

We analysis the symmetries of the reflection equation for open $XYZ$ model and find their solutions $K^{\pm}$ case by case. In the general open boundary conditions, the Lax pair for open one-dimensional $XYZ$ spin-chain is given.

solv-int · Physics 2009-10-30 Guo-xing Ju , Shi-kun Wang , Ke Wu , Chi Xiong

We discuss some fundamental properties of the XXZ spin chain, which are important in the algebraic Bethe-ansatz derivation for the multiple-integral representations of the spin-s XXZ correlation function with an arbitrary product of…

Statistical Mechanics · Physics 2017-08-23 Tetsuo Deguchi , Chihiro Matsui

By using a set of gauge transformations, the exact solutions of the XXZ spin chain with unparallel boundary magnetic fields are derived in the framework of the algebraic Bethe ansatz. In the easy-plane case, we show the elementary…

Strongly Correlated Electrons · Physics 2007-05-23 Junpeng Cao , Hai-Qing Lin , Kang-jie Shi , Yupeng Wang

In this paper we continue and extend a systematic study of plateaux in magnetization curves of antiferromagnetic Heisenberg spin-1/2 ladders. We first review a bosonic field-theoretical formulation of a single XXZ-chain in the presence of a…

Strongly Correlated Electrons · Physics 2009-10-31 D. C. Cabra , A. Honecker , P. Pujol

We study spin transport in a boundary driven XXZ spin chain. Driving at the chain boundaries is modeled by two additional spin chains prepared in oppositely polarized states. Emergent behavior, both in the transient dynamics and in the…

Quantum Physics · Physics 2017-12-21 Eduardo Mascarenhas , Giacomo Giudice , Vincenzo Savona

Boundary effect is a widespread idea in many-body theories. However, it is more of a conceptual notion than a rigorously defined physical quantity. One can quantify the boundary effect by comparing two ground states of the same physical…

Strongly Correlated Electrons · Physics 2024-05-01 Jinhyeok Ryu , Jaeyoon Cho

In this paper we analyse a family of models for a qubit interacting with a bosonic field. These models have a parity symmetry, which enables them to have a ground state even in some infrared irregular cases. In this paper we investigate…

Mathematical Physics · Physics 2020-12-23 Thomas Norman Dam , Jacob Schach Møller

We consider the ground states of the ferromagnetic XXZ chain with spin up boundary conditions in sectors with a fixed number of down spins. This forces the existence of a droplet of down spins in the system. We find the exact energy and the…

Mathematical Physics · Physics 2009-10-31 Bruno Nachtergaele , Shannon Starr

We study states of one- and two-dimensional spin systems that are constructed as correlators within the conformal field theory of a massless, free boson. In one dimension, these are good variational wave functions for XXZ spin chains and…

Strongly Correlated Electrons · Physics 2018-08-03 Benedikt Herwerth , Germán Sierra , J. Ignacio Cirac , Anne E. B. Nielsen

We study variable-rate linear quenches in the anisotropic Heisenberg (XXZ) chain, starting at the XX point. This is equivalent to switching on a nearest neighbour interaction for hard-core bosons or an interaction quench for free fermions.…

Strongly Correlated Electrons · Physics 2013-02-08 Frank Pollmann , Masudul Haque , Balázs Dóra