Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains

Abstract

We investigate the out-of-equilibrium dynamics after a local quench that connects two spin-1/2 XXZ chains prepared in the ground state of the Hamiltonian in different phases, one in the ferromagnetic phase and the other in the critical phase. We analyze the time evolution of the on-site magnetization and bipartite entanglement entropy via adaptive time-dependent density matrix renormalization group. In systems with short-range inter- actions, such as the one we consider, the velocity of information transfer is expected to be bounded, giving rise to a light-cone effect. Interestingly, our results show that, when the anisotropy parameter of the critical chain is sufficiently close to that of the isotropic ferromagnet, the light cone is determined by the velocity of spin-wave bound states that propagate faster than single-particle ("spinon") excitations. Furthermore, we investigate how the system approaches equilibrium in the inhomogeneous ground state of the connected system, in which the ferromagnetic chain induces a nonzero magnetization in the critical chain in the vicinity of the interface.

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Cited by in corpus (5)

• Transport in out-of-equilibrium XXZ chains: non-ballistic behavior and correlation functions
• Higher-Order Hydrodynamics in 1D: a Promising Direction and a Null Result
• Filling-dependent doublon dynamics in the one-dimensional Hubbard model
• Quench dynamics and relaxation of a spin coupled to interacting leads
• Bounding entanglement spreading after a local quench