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相关论文: On the scaling behaviour of the alternating spin c…

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The subject matter of this work is a 1D quantum spin - $\frac{1}{2}$ chain associated with the inhomogeneous six-vertex model possessing an additional ${\cal Z}_r$ symmetry. The model is studied in a certain parametric domain, where it is…

高能物理 - 理论 · 物理学 2023-07-19 Gleb A. Kotousov , Sergei L. Lukyanov

Using the analytic Bethe ansatz, we initiate a study of the scaling limit of the quasi-periodic $D^{(2)}_3$ spin chain. Supported by a detailed symmetry analysis, we determine the effective scaling dimensions of a large class of states in…

高能物理 - 理论 · 物理学 2023-12-20 Holger Frahm , Sascha Gehrmann , Rafael I. Nepomechie , Ana L. Retore

We study an integrable spin chain with an alternating array of spins S=1/2, 1 in external magnetic fields using the Bethe ansatz exact solution. The calculated magnetization possesses a cusp structure at a critical magnetic field H=H_{C},…

统计力学 · 物理学 2016-08-31 Mitsuru Fujii , Satoshi Fujimoto , Norio Kawakami

This paper is concerned with the investigation of the massless regime of an integrable spin chain based on the quantum group deformation of the $OSp(3|2)$ superalgebra. The finite-size properties of the eigenspectra are computed by solving…

统计力学 · 物理学 2019-07-25 Holger Frahm , Konstantin Hobuß , Márcio J. Martins

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…

强关联电子 · 物理学 2019-11-13 Wang Yang , Jianda Wu , Shenglong Xu , Zhe Wang , Congjun Wu

We study the finite size scaling of the spin stiffness for the one-dimensional s=1/2 quantum antiferromagnet as a function of the anisotropy parameter Delta.Previous Bethe ansatz results allow a determination of the stiffness in the…

强关联电子 · 物理学 2017-01-31 Nicolas Laflorencie , Sylvain Capponi , Erik S. Sorensen

We consider the problem of analytically continuing energies computed with the Bethe ansatz, as posed by the study of non-compact integrable spin chains. By introducing an imaginary extensive twist in the Bethe equations, we show that one…

数学物理 · 物理学 2020-08-25 Etienne Granet , Jesper Lykke Jacobsen , Hubert Saleur

We consider the quantum integrable spin chain models associated with the Jimbo R-matrix based on the quantum affine algebra $D^{(2)}_{n+1}$, subject to quantum-group-invariant boundary conditions parameterized by two discrete variables…

高能物理 - 理论 · 物理学 2025-12-19 Holger Frahm , Sascha Gehrmann , Rafael I. Nepomechie , Ana L. Retore

Based on the exact solution of the eigenvalue problem for the $U_q[sl(2|1)]$ vertex model built from alternating 3-dimensional fundamental and dual representations by means of the algebraic Bethe ansatz we investigate the ground state and…

统计力学 · 物理学 2015-03-17 Holger Frahm , Marcio J. Martins

We study at strong coupling the scaling function describing the large spin anomalous dimension of twist two operators in ${\cal N}=4$ super Yang-Mills theory. In the spirit of AdS/CFT duality, it is possible to extract it from the string…

高能物理 - 理论 · 物理学 2010-10-27 Matteo Beccaria , Gian Fabrizio De Angelis , Valentina Forini

The Bethe ansatz equations of the 1-D Hubbard model under open boundary conditions are systematically derived by diagonalizing the inhomogeneous transfer matrix of the XXX model with open boundaries. Through the finite-size correction, we…

强关联电子 · 物理学 2008-02-03 Tetsuo Deguchi , Ruihong Yue

Following the Bethe ansatz we determine the dynamical spectra of the one-dimensional supersymmetric t-J model. A series of fractionalized excitations are identified through two sets of Bethe numbers. Typical patterns in each set are found…

强关联电子 · 物理学 2026-03-27 Yunjing Gao , Jianda Wu

Using conformal field theory (CFT) arguments we derive an infinite number of constraints on the large spin expansion of the anomalous dimensions and structure constants of higher spin operators. These arguments rely only on analiticity,…

高能物理 - 理论 · 物理学 2016-01-27 Luis F. Alday , Agnese Bissi , Tomasz Lukowski

The transfer of quantum information between many-qubit states is a subject of fundamental importance in quantum science and technology. We consider entanglement swapping in critical quantum spin chains, where the entanglement between the…

量子物理 · 物理学 2025-04-28 Masahiro Hoshino , Masaki Oshikawa , Yuto Ashida

It is known that for the Heisenberg XXZ spin-$\frac{1}{2}$ chain in the critical regime, the scaling limit of the vacuum Bethe roots yields an infinite set of numbers that coincide with the energy spectrum of the quantum mechanical 3D…

数学物理 · 物理学 2024-07-23 Sascha Gehrmann , Gleb A. Kotousov , Sergei L. Lukyanov

In this paper we continue the investigation of an anisotropic integrable spin chain, consisting of spins $s=1$ and $s=\frac{1}{2}$, started in our paper \cite{meissner}. The thermodynamic Bethe ansatz is analysed especially for the case,…

高能物理 - 理论 · 物理学 2008-11-26 B. -D. Doerfel , St. Meissner

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

Entanglement entropy has proven invaluable to our understanding of quantum criticality. It is natural to try to extend the concept to non-unitary quantum mechanics, which has seen growing interest from areas as diverse as open quantum…

统计力学 · 物理学 2017-08-02 Romain Couvreur , Jesper Lykke Jacobsen , Hubert Saleur

In this paper we discuss the norms of the Bethe states for the spin one-half Heisenberg chain in the critical regime. Our analysis is based on the ODE/IQFT correspondence. Together with numerical work, this has lead us to formulate a set of…

高能物理 - 理论 · 物理学 2020-10-22 Gleb A. Kotousov , Sergei L. Lukyanov

We identify the gauge theory dual of a spinning string of minimal energy with spins S_1, S_2 on AdS_5 and charge J on S^5. For this purpose we focus on a certain set of local operators with two different types of covariant derivatives…

高能物理 - 理论 · 物理学 2010-02-26 Lisa Freyhult , Adam Rej , Stefan Zieme
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