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Related papers: Correlation functions for open XXZ spin 1/2 quantu…

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We study the generating function of the spin-spin correlation functions in the ground state of the anti-ferromagnetic spin-1/2 Heisenberg chain without magnetic field. We have found its fundamental functional relations from those for…

High Energy Physics - Theory · Physics 2009-11-11 Jun Sato , Masahiro Shiroishi

The transfer matrix of the general integrable open XXZ quantum spin chain obeys certain functional relations at roots of unity. By exploiting these functional relations, we determine the Bethe Ansatz solution for the transfer matrix…

High Energy Physics - Theory · Physics 2011-02-16 Rajan Murgan , Rafael I. Nepomechie

We derive a new representation for spin-spin correlation functions of the finite XXZ spin-1/2 Heisenberg chain in terms of a single multiple integral, that we call the master equation. Evaluation of this master equation gives rise on the…

High Energy Physics - Theory · Physics 2009-11-10 N. Kitanine , J. M. Maillet , N. A. Slavnov , V. Terras

Analytical expressions of some of the spin-spin correlation functions up to eight lattice sites for the spin-1/2 anti-ferromagnetic Heisenberg chain at zero temperature without magnetic field are obtained. The key object of our method is…

High Energy Physics - Theory · Physics 2009-11-11 Jun Sato , Masahiro Shiroishi , Minoru Takahashi

The critical behavior associated with a transverse magnetic field applied at the edge of a semi-infinite xxz S=1/2 chain is calculated using field theory techniques. Contrary to a recent claim, we find that the long-time behavior is given…

Strongly Correlated Electrons · Physics 2009-10-30 Ian Affleck

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…

Strongly Correlated Electrons · Physics 2012-08-30 Vincenzo Alba , Masudul Haque , Andreas M. Laeuchli

For the integrable higher-spin XXX and XXZ spin chains we present multiple-integral representations for the correlation function of an arbitrary product of Hermitian elementary matrices in the massless ground state. We give a formula…

Statistical Mechanics · Physics 2011-02-11 Tetsuo Deguchi , Chihiro Matsui

The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of form factors of local operators are proposed using bosonization. Sufficient conditions such that the…

Exactly Solvable and Integrable Systems · Physics 2015-08-21 P. Baseilhac , T. Kojima

The half-infinite XXZ open spin chain with general integrable boundary conditions is considered within the recently developed `Onsager's approach'. Inspired by the finite size case, for any type of integrable boundary conditions it is shown…

Mathematical Physics · Physics 2015-06-12 P. Baseilhac , S. Belliard

We show that from the spectra of the U_q (sl(2)) symmetric XXZ spin-1/2 finite quantum chain at Delta=-1/2 (q=e^{pi i/3}) one can obtain the spectra of certain XXZ quantum chains with diagonal and non-diagonal boundary conditions. Similar…

High Energy Physics - Theory · Physics 2009-02-02 Jan de Gier , Alexander Nichols , Pavel Pyatov , Vladimir Rittenberg

This work constructs a well-defined and operational form factor expansion in a model having a massless spectrum of excitations. More precisely, the dynamic two-point functions in the massless regime of the XXZ spin-1/2 chain are expressed…

Mathematical Physics · Physics 2019-07-15 K. K. Kozlowski

We consider the high probability state transfers and entanglements between different nodes of the spin-1/2 chains governed by the XXZ-Hamiltonian using the inhomogeneous stationary external magnetic field. Examples of three-, four-, ten-…

Quantum Physics · Physics 2013-05-29 S. I. Doronin , A. I. Zenchuk

Revising the derivation of the previous papers, for the integrable spin-$s$ XXZ chain we express any form factor in terms of a single sum over scalar products of the spin-1/2 XXZ chain. With the revised method we express the spin-$s$ XXZ…

Statistical Mechanics · Physics 2011-03-23 Tetsuo Deguchi , Chihiro Matsui

We study the XXZ chain with a boundary at massless regime $-1<\Delta<1$. We give the free field realizations of the boundary vacuum state and it's dual. Using these realizations, we give the integrable representations of the correlation…

Exactly Solvable and Integrable Systems · Physics 2011-07-19 T. Kojima

We consider the open XXZ quantum spin chain with nondiagonal boundary terms. For bulk anisotropy value \eta = i \pi/(p+1), p= 1, 2, ..., we propose an exact (p+1)-order functional relation for the transfer matrix, which implies…

High Energy Physics - Theory · Physics 2009-11-07 Rafael I. Nepomechie

The finite-size scaling spectra of the spin-1/2 XXZ Heisenberg chain with toroidal boundary conditions and an even number of sites provide a projection mechanism yielding the spectra of models with a central charge c<1 including the unitary…

High Energy Physics - Theory · Physics 2015-06-26 Uwe Grimm , Gunter M. Schuetz

Evolution of the z-component of a single spin in the finite cyclic XY spin 1/2 chain is studied. Initially one selected spin is polarized while other spins are completely unpolarized and uncorrelated. Polarization of the selected spin as a…

Quantum Physics · Physics 2013-04-17 Evgeniy Safonov , Oleg Lychkovskiy

We investigate the quantum phase transitions for the $XXZ$ spin-1/2 chains via the quantum correlations between the nearest and next to nearest neighbor spins characterized by negativity, information deficit, trace distance discord and…

Quantum Physics · Physics 2018-05-08 Biao-Liang Ye , Bo Li , Xianqing Li-Jost , Shao-Ming Fei

We determine dynamical response functions $<{\cal O}^\dagger(t,x_1){\cal O}(0,x_2)>$ in the scaling limit of the quantum Ising chain on the half line in the presence of a boundary magnetic field. Using a spectral representation in terms of…

Strongly Correlated Electrons · Physics 2009-11-13 Dirk Schuricht , Fabian H. L. Essler

We compute, by means of exact diagonalization of systems of N=16 and 18 spins, the correlation function <\sigma^z_0\sigma^z_n> at nonzero temperature for the XXZ model with anisotropy \Delta. In the gapless ferromagnetic region -1<\Delta<0…

Statistical Mechanics · Physics 2009-10-31 Klaus Fabricius , Barry M. McCoy
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