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Ground-state and finite-temperature properties of a special class of exactly solvable Ising-Heisenberg planar models are examined using the generalized decoration-iteration and star-triangle mapping transformations. The investigated spin…

Disordered Systems and Neural Networks · Physics 2007-05-23 Jozef Strecka , Michal Jascur

We study the dynamics of X-state for anisotropic Heisenberg spin system using quantum fidelity. It is shown that while Bell diagonal state, a special class of X-state, is stationary, there exists a set of two parametric states which are…

Quantum Physics · Physics 2017-08-23 N. Vinod , R. Muthuganesan , R. Sankaranarayanan

Simple models of interacting spins play an important role in physics. They capture the properties of many magnetic materials, but also extend to other systems, such as bosons and fermions in a lattice, systems with gauge fields, high-Tc…

Exact solutions for quantum many-body systems are rare and provide valuable insight to universal phenomena. Here we show experimentally in anisotropic Heisenberg chains that special helical spin patterns can have very long lifetimes. This…

We examine spin vortices in ferromagnetic quantum Heisenberg models with planar anisotropy on two-dimensional lattices. The symmetry properties and the time evolution of vortices built up from spin-coherent states are studied in detail.…

Condensed Matter · Physics 2007-05-23 John Schliemann , Franz G. Mertens

We study dynamical properties of dissipative XYZ Heisenberg lattices where anisotropic spin-spin coupling competes with local incoherent spin flip processes. In particular, we explore a region of the parameter space where dissipative…

Quantum Physics · Physics 2019-07-09 Riccardo Rota , Fabrizio Minganti , Alberto Biella , Cristiano Ciuti

An important step towards a comprehensive understanding of far-from-equilibrium dynamics of quantum many-body systems is the identification of unifying features that are independent of microscopic details of the system. We experimentally…

We demonstrate that the exact non-equilibrium steady state of the one-dimensional Heisenberg XXZ spin chain driven by boundary Lindblad operators can be constructed explicitly with a matrix product ansatz for the non-equilibrium density…

Statistical Mechanics · Physics 2015-06-12 D. Karevski , V. Popkov , G. M. Schütz

We investigate the eigenstate thermalization properties of the spin-1/2 $XXZ$ model in two-dimensional rectangular lattices of size $L_1\times L_2$ under periodic boundary conditions. Exploiting the symmetry property, we can perform an…

Statistical Mechanics · Physics 2023-02-01 Jae Dong Noh

We investigate the influence of external fields on the stability of spin helix states in an XXZ Heisenberg model. Exact diagonalization on a finite system shows that random transverse fields in the x and y directions drive the transition…

Quantum Physics · Physics 2024-10-29 Gang Zhang , Zhi Song

We investigate the exact overlaps between eigenstates of integrable spin chains and a special class of states called "integrable initial/final states". These states satisfy a special integrability constraint, and they are closely related to…

Statistical Mechanics · Physics 2021-05-05 Tamás Gombor , Balázs Pozsgay

We study a model of strongly correlated fermions in one dimension with extended N=2 supersymmetry. The model is related to the spin $S=1/2$ XXZ Heisenberg chain at anisotropy $\Delta=-1/2$ with a real magnetic field on the boundary. We…

Strongly Correlated Electrons · Physics 2009-11-10 Matteo Beccaria , Gian Fabrizio De Angelis

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 spin-1/2 antiferromagnetic Heisenberg model on a two dimensional triangular lattice geometry with spatial anisotropy is relevant to describe materials like ${\rm Cs_2 Cu Cl_4}$ and organic compounds like…

Strongly Correlated Electrons · Physics 2011-11-09 Seiji Yunoki , Sandro Sorella

In this work we construct the eigenstates of the most general spin-1/2 Richardson-Gaudin model integrable in an external magnetic field. This includes the possibility for fully anisotropic XYZ coupling such that the $S^x_iS^x_j$,…

Mathematical Physics · Physics 2022-11-28 Alexandre Faribault , Claude Dimo

Employing exact diagonalization, we systematically study the anisotropic Heisenberg model which is related to rare-earth triangular-lattice materials. We probe its full 3D phase diagram afresh and identify a large region of quantum spin…

Strongly Correlated Electrons · Physics 2021-05-18 Muwei Wu , Dao-Xin Yao , Han-Qing Wu

Exact solutions for excited states in non-integrable quantum Hamiltonians have revealed novel dynamical phenomena that can occur in quantum many-body systems. This work proposes a method to analytically construct a specific set of…

Strongly Correlated Electrons · Physics 2025-06-03 Sashikanta Mohapatra , Sanjay Moudgalya , Ajit C. Balram

Long-lived spin-helix states facilitate the study of non-equilibrium dynamics in quantum magnets. We consider the decay of transverse spin-helices in antiferromagnetic spin-$S$ XXZ chains with single-ion anisostropy. The spin-helix decay is…

Strongly Correlated Electrons · Physics 2026-05-11 Florian Lange , Frank Göhmann , Gerhard Wellein , Holger Fehske

We systematically investigate possible helix states in XXZ Heisenberg model with Dzyaloshinskii-Moriya (DM) interaction. Exact solutions show that a set of precession helix states can be constructed by deliberate superposition of degenerate…

Strongly Correlated Electrons · Physics 2022-12-20 E. S. Ma , K. L. Zhang , Z. Song

Motivated by discrepancies between recent cold atom experiments and the associated theory, we explore the effect of immobile holes on the quantum dynamics of $x$-$z$ spin helices in the one-dimensional $XX$ model. We calculate the exact…

Quantum Gases · Physics 2024-08-19 Darren Pereira , Erich J. Mueller
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