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Recent developments in many-body quantum chaos have raised the issue of correlations between different families of levels in the spectra of random fermionic systems. It seems that rotational invariance is sufficient to force an otherwise…

Nuclear Theory · Physics 2007-05-23 D. Mulhall , V. Zelevinsky , A. Volya

The nonequilibrium steady state (NESS) of integrable spin chains experiencing strong boundary dissipation is accounted by introducing quasiparticles with a renormalized -- dissipatively dressed -- dispersion relation. This allows us to…

Statistical Mechanics · Physics 2025-05-23 Vladislav Popkov , Xin Zhang , Carlo Presilla , Tomaž Prosen

We establish spectral rigidity for spherically symmetric manifolds with boundary and interior interfaces determined by discontinuities in the metric under certain conditions. Rather than a single metric, we allow two distinct metrics in…

Analysis of PDEs · Mathematics 2023-12-08 Joonas Ilmavirta , Maarten V. de Hoop , Vitaly Katsnelson

We investigate the relation between integrability and decoherence in central spin models with more than one central spin. We show that there is a transition between integrability ensured by the Bethe ansatz and integrability ensured by…

Mesoscale and Nanoscale Physics · Physics 2010-10-26 B. Erbe , J. Schliemann

We study integrable non-diagonal open boundary conditions for spin chains arising from holographic gauge theories. Their dual description is in terms of open strings stretching between giant gravitons intersecting at arbitrary angles inside…

High Energy Physics - Theory · Physics 2022-01-12 Adolfo Holguin

We show that, after suitably adjusting a uniform transverse magnetic field, the generic inhomogeneous open XX spin chain has a two-fold degeneracy, and an exact $su(2)$ symmetry whose "inhomogeneous" nonlocal generators depend on…

Statistical Mechanics · Physics 2025-12-25 Nicolas Crampé , Rafael I. Nepomechie , Luc Vinet , Nabi Zare Harofteh

We study the time evolution of a single spin coupled inhomogeneously to a spin environment. Such a system is realized by a single electron spin bound in a semiconductor nanostructure and interacting with surrounding nuclear spins. We find…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 John Schliemann , Alexander V. Khaetskii , Daniel Loss

Necessary and sufficient conditions are given for the similarity between two perturbations of the (backward) shift by rank one operators, under certain assumptions on the perturbations. The proof of similarity is based on an explicit…

Functional Analysis · Mathematics 2012-07-17 Leonel Robert

The full spectrum of transfer matrices of the general eight-vertex model on a square lattice is obtained by numerical diagonalization. The eigenvalue spacing distribution and the spectral rigidity are analyzed. In non-integrable regimes we…

Condensed Matter · Physics 2009-10-28 Hendrik Meyer , Jean-Christian Anglès d'Auriac , Henrik Bruus

We point out that the existence of global symmetries in a field theory is not an essential ingredient in its relation with an integrable model. We describe an obvious construction which, given an integrable spin chain, yields a field theory…

High Energy Physics - Theory · Physics 2008-11-26 Radu Roiban

We study the evolution of an inverted spin ensemble coupled to a cavity. The inversion itself presents an inherent instability of the system; however, the inhomogeneous broadening of spin-resonance frequencies presents a stabilizing…

Quantum Physics · Physics 2015-06-11 Brian Julsgaard , Klaus Mølmer

The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting distinguishable Fock space. Dynamics are then incorporated by…

Quantum Physics · Physics 2020-04-28 Jacob C. Bridgeman , Alexander Hahn , Tobias J. Osborne , Ramona Wolf

The equivalence of spectral convergence and Benjamini-Schramm convergence is extended from homogeneous spaces to spaces which are compact modulo isometry group. The equivalence is proven under the condition of a uniform discreteness…

Spectral Theory · Mathematics 2024-07-25 Anton Deitmar

We consider spin dynamics in the impurity band of a semiconductor with spin-split spectrum. Due to the splitting, phonon-assisted hops from one impurity to another are accompanied by rotation of the electron spin, which leads to spin…

Disordered Systems and Neural Networks · Physics 2015-06-25 I. S. Lyubinskiy , A. P. Dmitriev , V. Yu. Kachorovskii

This work provides a comprehensive theoretical framework for understanding the symmetry properties of High-Resolution NMR spectra. We analyze the conditions under which a spectrum exhibits mirror symmetry (palindromicity). We demonstrate…

Chemical Physics · Physics 2026-02-05 Dmitry A. Cheshkov , Dmitry O. Sinitsyn

We refine the recently introduced notion of eclectic spin chains by including a maximal number of deformation parameters. These models are integrable, nearest-neighbor n-state spin chains with exceedingly simple non-hermitian Hamiltonians.…

High Energy Physics - Theory · Physics 2021-02-24 Changrim Ahn , Matthias Staudacher

We present a construction of integrable quantum spin chains where local spin-spin interactions are weighted by ``position''-dependent potential containing abelian non-local spin dependance. This construction applies to the previously…

Quantum Algebra · Mathematics 2009-11-11 Zoltan Nagy , Jean Avan

We investigate spatial reflection and associated nonlocal order in spin chain quantum systems. The proposed string order parameters, e.g., reflected via operations of the spatial reflection or combinations of it with spin reflection, are…

Strongly Correlated Electrons · Physics 2015-05-13 Li-Xiang Cen

We present an analytical study of state transfer in a spin chain in the presence of an inhomogeneous set of exchange coefficients. We initially consider the homogeneous case and describe a method to obtain the energy spectrum of the system.…

We examine an exactly solvable model of decoherence - a spin-system interacting with a collection of environment spins. We show that in this model (introduced some time ago to illustrate environment-induced superselection) generic…

Quantum Physics · Physics 2013-05-29 W. H. Zurek , F. M. Cucchietti , J. P. Paz