Evolution of two-magnon bound states in a higher-spin ferromagnetic chain with single-ion anisotropy: A complete solution

• URL: http://arxiv.org/abs/2408.16526v1
• Date: Thu, 29 Aug 2024 13:38:55 GMT
• Title: Evolution of two-magnon bound states in a higher-spin ferromagnetic chain with single-ion anisotropy: A complete solution
• Authors: Xinlan Lou, Jiawei Li, Ning Wu,
• Abstract summary: We find a narrow region in which two single-ion bound states coexist. We map the evolution of the bound states to the rectilinear movement of a representative point for given parameters in a rescaled phase diagram.
• Score: 12.590533099090568
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Few-magnon bound states in quantum spin chains have been long studied and attracted much recent attentions. For a higher-spin ferromagnetic XXZ chain with single-ion anisotropy, several features regarding the evolution of the low-lying two-magnon bound states with varying wave number were observed in the literature. However, most of these observations are only qualitatively understood due to the lack of analytical tools. By combining a set of exact two-magnon Bloch states and a plane-wave ansatz, we achieve a complete solution of the two-magnon problem in such a system. We identify parameter regions that support different types of two-magnon bound states, with the boundaries defined by algebraic equations. We discover for the first time a narrow region in which two single-ion bound states coexist. We show that the phase diagrams for distinct wave numbers are similar to each other, which enables us to map the evolution of the bound states to the rectilinear movement of a representative point for given parameters in a rescaled phase diagram. This dynamic picture provides quantitative interpretations of the observed features.

Related papers

• Mean-field approach to Mid-spectrum Eigenstates of long-range interacting Quantum Systems [0.5874142059884521]
  We study the equilibrium properties of the spin-$1/2$ XY chain with an infinite-range transverse interaction. We show that the two gapless points of the XY model behave in fundamentally different ways.
  arXiv  Detail & Related papers  (2023-10-15T11:20:35Z)
• Entangled Collective Spin States of Two Species Ultracold atoms in a Ring [0.0]
  We study the general quantum Hamiltonian that can be realized with two species of degenerate ultracold atoms in a ring-shaped trap. We examine the spectrum and the states with a collective spin picture in a Dicke state basis. The density of states for the full Hamiltonian shows features as of phase transition in varying between linear and quadratic limits.
  arXiv  Detail & Related papers  (2023-03-15T04:11:59Z)
• Continuous similarity transformation for critical phenomena: easy-axis antiferromagnetic XXZ model [0.0]
  We apply continuous similarity transformations to the easy-axis antiferromagnetic XXZ-model on the square lattice. The quartic magnon-conserving effective Hamiltonian is analyzed in the zero-, one-, and two-magnon sector.
  arXiv  Detail & Related papers  (2022-11-10T16:50:37Z)
• Understanding the propagation of excitations in quantum spin chains with different kind of interactions [68.8204255655161]
  It is shown that the inhomogeneous chains are able to transfer excitations with near perfect fidelity. It is shown that both designed chains have in common a partially ordered spectrum and well localized eigenvectors.
  arXiv  Detail & Related papers  (2021-12-31T15:09:48Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping [68.8204255655161]
  We study the localized states of a generic quadratic fermionic chain with finite-range couplings. We analyze the robustness of the connection between bands against perturbations of the Hamiltonian.
  arXiv  Detail & Related papers  (2021-07-20T18:44:06Z)
• Exact solutions of few-magnon problems in the spin-$S$ periodic XXZ chain [3.4837954073338486]
  We solve few-magnon problems for a finite-size spin-$S$ periodic Heisenberg XXZ chain with single-ion anisotropy. In the absence of the single-ion anisotropy, we reveal the condition under which exact zero-energy states emerge.
  arXiv  Detail & Related papers  (2021-06-28T15:32:32Z)
• Link representation of the entanglement entropies for all bipartitions [0.0]
  We show that the entanglement entropy of any bipartition of a quantum state can be approximated as the sum of certain link strengths connecting internal and external sites. We propose several approximation techniques for matrix product states, free fermionic states, or in cases in which contiguous blocks are specially relevant.
  arXiv  Detail & Related papers  (2021-03-16T09:17:41Z)
• Dynamical solitons and boson fractionalization in cold-atom topological insulators [110.83289076967895]
  We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities. We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors. Using a pumping argument, we show that it survives also for finite interactions.
  arXiv  Detail & Related papers  (2020-03-24T17:31:34Z)
• Radiative topological biphoton states in modulated qubit arrays [105.54048699217668]
  We study topological properties of bound pairs of photons in spatially-modulated qubit arrays coupled to a waveguide. For open boundary condition, we find exotic topological bound-pair edge states with radiative losses. By joining two structures with different spatial modulations, we find long-lived interface states which may have applications in storage and quantum information processing.
  arXiv  Detail & Related papers  (2020-02-24T04:44:12Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.