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We consider here the massive Thirring model regularized with the XYZ spin chain. We numerically calculate the mass ratios of particles which lie in the discrete part of the spectrum and obtain results in accordance with the DHN formula and…

高能物理 - 理论 · 物理学 2009-10-31 Marko Kolanovic , Silvio Pallua , Predrag Prester

Form factors for local spin operators of the XXZ Heisenberg spin-1/2 finite chain are computed. Representation theory of Drinfel'd twists for the sl2 quantum affine algebra in finite dimensional modules is used to calculate scalar products…

数学物理 · 物理学 2018-08-30 N. Kitanine , J. M. Maillet , V. Terras

We investigate N-extended supersymmetry in one-dimensional quantum mechanics on a circle with point singularities. For any integer n, N=2n supercharges are explicitly constructed and a class of point singularities compatible with…

高能物理 - 理论 · 物理学 2009-11-10 Tomoaki Nagasawa , Makoto Sakamoto , Kazunori Takenaga

In this paper we present some consequences of the description of matrix representations of asymmetric truncated Toeplitz operators acting between finite-dimensional model spaces. In particular, we prove that these operators can be…

泛函分析 · 数学 2020-07-29 Bartosz Łanucha

This paper considers the relationship between geometry, symmetry and fundamental interactions -- gravity and those mediated by gauge fields. We explore product spacetimes which a) have the necessary symmetries for gauge interactions and…

广义相对论与量子宇宙学 · 物理学 2022-05-17 Tom Lawrence

Symmetries rigidly delimit the landscape of quantum matter. Recently uncovered spatially modulated symmetries, whose actions vary with position, enable excitations with restricted mobility, while Lieb-Schultz-Mattis (LSM) type anomalies…

强关联电子 · 物理学 2026-04-29 Hiromi Ebisu , Bo Han , Weiguang Cao

Superdiffusive transport with dynamical exponent $z=3/2$ has been firmly established at finite temperature for a class of integrable systems with a non-abelian global symmetry $G$. On the inclusion of integrability-breaking perturbations,…

统计力学 · 物理学 2025-09-25 Kevin Wang , Joel E. Moore

We studied the dynamics of the order parameter and the winding numbers $W$ formation of a quenched normal-to-superconductor state phase transition in a finite size holographic superconducting ring. There is a critical circumference…

高能物理 - 理论 · 物理学 2020-12-30 Chuan-Yin Xia , Hua-Bi Zeng

We consider XXX spin-$1/2$ Heisenberg chain with non-diagonal boundary conditions. We obtain a compact determinant representation for the scalar product of on-shell and off-shell Bethe vectors. In the particular case when both Bethe vectors…

数学物理 · 物理学 2019-09-04 Samuel Belliard , Nikita A. Slavnov

Baxter's Q-operator is generally believed to be the most powerful tool for the exact diagonalization of integrable models. Curiously, it has hitherto not yet been properly constructed in the simplest such system, the compact spin-1/2…

高能物理 - 理论 · 物理学 2011-03-03 Vladimir V. Bazhanov , Tomasz Lukowski , Carlo Meneghelli , Matthias Staudacher

The temperature dependence of the static magnetic susceptibility of exchange-disordered antiferromagnetic Heisenberg spin-1/2 finite chains with an odd number of spins is investigated as a function of size and type of disorder in the…

强关联电子 · 物理学 2009-01-29 C. M. Chaves , Thereza Paiva , J. d'Albuquerque e Castro , Belita Koiller

We analyse the renormalisation properties of composite operators of scalar fields in the N=2 Super Yang-Mills theory. We compute the matrix of anomalous dimensions in the planar limit at one-loop order in the 't Hooft coupling, and show…

高能物理 - 理论 · 物理学 2015-06-26 P. Di Vecchia , A. Tanzini

Quantum chaotic systems exhibit certain universal statistical properties that closely resemble predictions from random matrix theory (RMT). With respect to observables, it has recently been conjectured that, when truncated to a sufficiently…

统计力学 · 物理学 2026-01-16 Mariel Kempa , Markus Kraft , Robin Steinigeweg , Jochen Gemmer , Jiaozi Wang

In order to overcome the limitations of small system sizes in spin-glass simulations, we investigate the one-dimensional Ising spin chain with power-law interactions. The model has the advantage over traditional higher-dimensional…

无序系统与神经网络 · 物理学 2009-11-11 Helmut G. Katzgraber , Mathias Koerner , Frauke Liers , A. K. Hartmann

We have analytically obtained all the density matrix elements up to six lattice sites for the spin-1/2 Heisenberg XXZ chain at $\Delta=1/2$. We use the multiple integral formula of the correlation function for the massless XXZ chain derived…

统计力学 · 物理学 2009-11-13 Jun Sato , Masahiro Shiroishi

String correlations are investigated in an infinite-size XXZ spin-1 chain. By using the infinite matrix product state representation, we calculate a long-range string order. In the XY phase, the string correlations decay within a relatively…

统计力学 · 物理学 2015-06-04 Yao Heng Su , Sam Young Cho , Bo Li , Hong-Lei Wang , Huan-Qiang Zhou

The Motzkin spin chain is a spin-1 model introduced in \cite{shor} as an example of a system exhibiting a high degree of quantum fluctuations whose ground state can be mapped to Motzkin paths that are generated with local equivalence moves.…

量子物理 · 物理学 2018-09-05 Olof Salberger , Pramod Padmanabhan , Vladimir Korepin

This work is devoted to the investigation of nontrivial transport properties in many-body quantum systems. Precisely, we study transport in the steady state of spin-1/2 Heisenberg XXZ chains, driven out of equilibrium by two magnetic baths…

统计力学 · 物理学 2020-03-20 Alberto L. de Paula , Emmanuel Pereira , Raphael C. Drumond , M. C. O. Aguiar

Quantum many body physics simulations with Matrix Product States can often be accelerated if the quantum symmetries present in the system are explicitly taken into account. Conventionally, quantum symmetries have to be determined before…

量子物理 · 物理学 2019-10-17 Chu Guo , Dario Poletti

We study the entanglement spectrum (ES) of a finite XXZ spin 1/2 chain in the limit \Delta -> -1^+ for both open and periodic boundary conditions. At \Delta=-1 (ferromagnetic point) the model is equivalent to the Heisenberg ferromagnet and…

强关联电子 · 物理学 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli