Quasi-soliton scattering in quantum spin chains

Abstract

The quantum scattering of magnon bound states in the anisotropic Heisenberg spin chain is shown to display features similar to the scattering of solitons in classical exactly solvable models. Localized colliding Gaussian wave packets of bound magnons are constructed from string solutions of the Bethe equations and subsequently evolved in time, relying on an algebraic Bethe ansatz based framework for the computation of local expectation values in real space-time. The local magnetization profile shows the trajectories of colliding wave packets of bound magnons, which obtain a spatial displacement upon scattering. Analytic predictions on the displacements for various values of anisotropy and string lengths are derived from scattering theory and Bethe ansatz phase shifts, matching time evolution fits on the displacements. The time evolved block decimation (TEBD) algorithm allows for the study of scattering displacements from spin-block states, showing similar scattering displacement features.

15 pages, 7 figures. (v2: citations added)

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Cited by in corpus (19)

• Soliton gases and generalized hydrodynamics
• Superdiffusion in spin chains
• Dynamics of the spin-1/2 Heisenberg chain initialized in a domain-wall state
• Current operators in Bethe Ansatz and Generalized Hydrodynamics: An exact quantum/classical correspondence
• Anomalous relaxation and the high-temperature structure factor of XXZ spin chains
• Collisions of false-vacuum bubble walls in a quantum spin chain
• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
• Real-time scattering of interacting quasiparticles in quantum spin chains
• Equilibration in one-dimensional quantum hydrodynamic systems
• Quantum sine-Gordon dynamics in coupled spin chains
• Exact large-scale fluctuations of the phase field in the sine-Gordon model
• Quantum Work of an Optical Lattice
• Interaction-Induced Weakening of Localization in Few-Particle Disordered Heisenberg Chains
• Propagation and jamming dynamics in Heisenberg spin ladders
• Information scrambling and redistribution of quantum correlations through dynamical evolution in spin chains
• Interference of the signal from a local dynamical process with the quantum state propagation in spin chains
• Remotely detecting the signal of a local decohering process in spin chains
• Slow transport and bound states for spinless fermions with long-range Coulomb interactions on one-dimensional lattices