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We use continued fractions for a study of the thermodynamic properties of the periodic nonuniform spin-1/2 isotropic XY chain in a non-random/random (Lorentzian) transverse field. The obtained results permit to examine the influence of a…

Condensed Matter · Physics 2009-10-31 Oleg Derzhko , Johannes Richter , Oles' Zaburannyi

In this paper we discuss effective strong coupling constants. Those are well behaved in the low-Q^2 domain, contrarily to alpha_s from pQCD. We present an extraction of an effective strong coupling constant from Jefferson Lab polarized data…

High Energy Physics - Phenomenology · Physics 2009-08-24 A. Deur

Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.

High Energy Physics - Theory · Physics 2015-06-26 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

We investigate an open XXZ spin 1/2 chain driven out of equilibrium by coupling with boundary reservoirs targeting different spin orientations in XY plane. Symmetries of the model are revealed which appear to be different for spin chains of…

Statistical Mechanics · Physics 2015-06-11 V. Popkov

A simple Mathematica code based on the differential realization of hard-core boson operators for finding exact solutions of the periodic-N spin-1/2 systems with or beyond nearest neighbor interactions is proposed, which can easily be used…

Quantum Physics · Physics 2009-11-13 Feng Pan , Xin Guan , Nan Ma , Wen-Juan Han , J. P. Draayer

It was demonstrated in [Phys. Rev. E 86, 021104, (2012)], that the ground-state wave functions for a large variety of one-dimensional spin-1/2 models are multifractals in the natural spin-z basis. We present here the details of analytical…

Chaotic Dynamics · Physics 2014-03-05 Y. Y. Atas , E. Bogomolny

We derive the expressions for the local, on-shell closed co-dimension 2 forms in the Cartan formulation of general relativity and explicitly show their equivalence to those of the metric formulation.

General Relativity and Quantum Cosmology · Physics 2016-11-08 Glenn Barnich , Pujian Mao , Romain Ruzziconi

We study the tuning effect of a transverse magnetic field on the confinement of spinons in the infinite XXZ spin-1/2 chain. The spinon confinement in this model takes place in the gapped antiferromagnetic phase upon application of a…

Strongly Correlated Electrons · Physics 2024-01-15 S. B. Rutkevich

A complete and explicit classification of all locally constructed conserved currents and underlying conserved tensors is obtained for massless linear symmetric spinor fields of any spin s>0 in four dimensional flat spacetime. These results…

Mathematical Physics · Physics 2009-11-07 Stephen C. Anco , Juha Pohjanpelto

We show how to apply a generalization of Local control design to the problem of saturation of a spin 1/2 particle by magnetic fields in Nuclear Magnetic Resonance. The generalization of local or Lyapunov control arises from the fact that…

Quantum Physics · Physics 2015-05-27 F. Mintert , M. Lapert , Y. Zhang , S. J. Glaser , D. Sugny

We study the dynamics of a spin-1/2 XXZ chain which is initially prepared in a domain-wall state. We compare the results of time-dependent Density Matrix Renormalization Group simulations with those of an effective description in terms of a…

Statistical Mechanics · Physics 2019-08-30 Grégoire Misguich , Nicolas Pavloff , Vincent Pasquier

Spinons are among the generic excitations in one-dimensional spin systems, they can be massless or massive. The quantitative description of massive spinons poses a considerable challenge in spite of various variational approaches. We show…

Strongly Correlated Electrons · Physics 2017-05-30 Mohsen Hafez-Torbati , Götz S. Uhrig

In this work, with focus on the energy transport properties in quantum, low dimensional, graded materials, we address the investigation of the energy (and spin) current in XXZ open chains with graded inner structures and driven out of…

Quantum Physics · Physics 2016-11-23 Luvas Schuab , Emmanuel Pereira , Gabriel T. Landi

We construct exact strong zero mode operators (ESZM) in integrable quantum circuits and the spin-1/2 XXZ chain for general open boundary conditions, which break the bulk U(1) symmetry of the time evolution operators. We show that the ESZM…

Statistical Mechanics · Physics 2026-05-27 Sascha Gehrmann , Fabian H. L. Essler

The open XXZ spin chain with the anisotropy parameter $\Delta=-\frac12$ and diagonal boundary magnetic fields that depend on a parameter $x$ is studied. For real $x>0$, the exact finite-size ground-state eigenvalue of the spin-chain…

Mathematical Physics · Physics 2022-03-28 Christian Hagendorf , Jean Liénardy

Combining a lattice path integral formulation for thermodynamics with the solution of the quantum inverse scattering problem for local spin operators, we derive a multiple integral representation for the time-dependent longitudinal…

Statistical Mechanics · Physics 2008-11-26 Kazumitsu Sakai

We revisit the problem of classification and explicit construction of the conformal three-point correlation functions of currents of arbitrary integer spin in arbitrary dimensions. For the conserved currents, we set up the equations for the…

High Energy Physics - Theory · Physics 2024-05-06 Melik Karapetyan , Ruben Manvelyan , Karapet Mkrtchyan

We deal with quantum spin chains whose Hamiltonian arises from a representation of the Temperley-Lieb algebra, and we consider the mean values of those local operators which are generated by the Temperley-Lieb algebra. We present two key…

Exactly Solvable and Integrable Systems · Physics 2024-01-10 Kohei Fukai , Raphael Kleinemühl , Balázs Pozsgay , Eric Vernier

Genuine multipartite entanglement has been found in some spin chain systems. However, genuine multipartite nonlocality, which is much rarer than genuine multipartite entanglement, has never been found in any spin chain system. Here we…

Quantum Physics · Physics 2018-04-10 Yue Dai , Chengjie Zhang , Wenlong You , Yuli Dong , C. H. Oh

We find the form of three-point correlation functions of traceless symmetric conserved currents of arbitrary spin in d-dimensional conformal field theory (CFT). These are fixed up to several constants by conformal symmetry and current…

High Energy Physics - Theory · Physics 2012-07-19 Alexander Zhiboedov