Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and norms of the Bethe eigenstates. We have seen that the transition rates converges toward the constant function with the value 1 in the limit delta -> 0. The observed critical exponent of the singularity at the lower boundary is compared with the one predicted from the comformal field theory. We confirm that they are in good agreement. Further we have discovered that a small peak emerges near the upper boundary in the line shape of S(q,omega) for 0Transition rates and dynamic spin structure factor at zero temperature for the spin-1/2 XXZ chain at critical regime in a magnetic field are numerically evaluated in terms of the exact determinant representations for the form factors and norms of the Bethe eigenstates. We have seen that the transition rates converges toward the constant function with the value 1 in the limit delta -> 0. The observed critical exponent of the singularity at the lower boundary is compared with the one predicted from the comformal field theory. We confirm that they are in good agreement. Further we have discovered that a small peak emerges near the upper boundary in the line shape of S(q,omega) for 0

arXiv:cond-mat/0410102Journal of the Physical Society of JapanNov 1, 200434 citations

Dynamical correlation functions of the XXZ spin- 1/2 chain

N Kitanine, Jean Michel Maillet, N. A. Slavnov +1 more

arXiv:hep-th/0407108Nuclear Physics BSep 17, 200583 citations

Critical dynamics of a double chain of spins with four spin interactions

M. Santos, W. Figueiredo

Physics Letters AMar 1, 19970 citations

Quantum information spreading in random spin chains

Paola Ruggiero, Xhek Turkeshi

We study the spreading of quantum correlations and information in a one-dimensional quantum spin chain with critical disorder encoded in an infinite randomness fixed point. Specifically, we focus on the dynamics after a quantum quench of the R\'enyi entropies, mutual information, and entanglement negativity in the prototypical XXZ spin chain with random bonds and anisotropy parameters. We provide analytic predictions in the scaling regime based on real-space renormalization-group methods. We support these findings through numerical simulations in the noninteracting limit, where we can access the scaling regime.We study the spreading of quantum correlations and information in a one-dimensional quantum spin chain with critical disorder encoded in an infinite randomness fixed point. Specifically, we focus on the dynamics after a quantum quench of the R\'enyi entropies, mutual information, and entanglement negativity in the prototypical XXZ spin chain with random bonds and anisotropy parameters. We provide analytic predictions in the scaling regime based on real-space renormalization-group methods. We support these findings through numerical simulations in the noninteracting limit, where we can access the scaling regime.

arXiv:2206.02934Physical review. B./Physical review. BOct 20, 202211 citations

Long-range correlation and the spin conductivity in the XXZ chain from ballistic macroscopic fluctuation theory

Shinya Ae

Based on the ballistic macroscopic fluctuation theory, the integration of the spin correlation function (spin conductivity) is analyzed for the spin-1/2 XXZ chain in the critical regime. In the time when the magnetization of an infinite spin chain fluctuates from an initial state with a wavelength as long as the infinite length $N$ , the equal-time two-point spin correlation function is scaled up to $O(1/N)$ . In the state where the ballistic spin transport decays at high temperature $T$ , the diffusive transport remains on a large scale. We show that the spin conductivity is proportional to $1/T$ in the limit $T\to\infty$ and its high temperature proportionality constant diverges in the case where one-quasiparticle magnetization is infinitely large. This analysis informs that the superdiffusive spin transport is driven by the $1/N$ -scaled long-range spin correlation and sheds a light on the dynamic scaling in spin transport at the isotropic point.Based on the ballistic macroscopic fluctuation theory, the integration of the spin correlation function (spin conductivity) is analyzed for the spin-1/2 XXZ chain in the critical regime. In the time when the magnetization of an infinite spin chain fluctuates from an initial state with a wavelength as long as the infinite length $N$, the equal-time two-point spin correlation function is scaled up to $O(1/N)$. In the state where the ballistic spin transport decays at high temperature $T$, the diffusive transport remains on a large scale. We show that the spin conductivity is proportional to $1/T$ in the limit $T\to\infty$ and its high temperature proportionality constant diverges in the case where one-quasiparticle magnetization is infinitely large. This analysis informs that the superdiffusive spin transport is driven by the $1/N$-scaled long-range spin correlation and sheds a light on the dynamic scaling in spin transport at the isotropic point.

arXiv:2605.01645May 2, 20260 citations

Spin dynamics on S=1/2 spin chains in a magnetic field

Mitsuhiro Arikawa

素粒子論研究Jan 1, 20060 citations

N

, the equal-time two-point spin correlation function is scaled up to

O(1/N)

. In the state where the ballistic spin transport decays at high temperature

T

, the diffusive transport remains on a large scale. We show that the spin conductivity is proportional to

1/T

in the limit

T\to\infty

and its high temperature proportionality constant diverges in the case where one-quasiparticle magnetization is infinitely large. This analysis informs that the superdiffusive spin transport is driven by the

1/N

-scaled long-range spin correlation and sheds a light on the dynamic scaling in spin transport at the isotropic point.