Light-cone velocities after a global quench in a non-interacting model

Abstract

We study the light-cone velocity for global quenches in the non-interacting XY chain starting from a class of initial states that are eigenstates of the local $z$-component of the spin. We point out how translation invariance of the initial state can affect the maximal speed at which correlations spread. As a consequence the light-cone velocity can be state-dependent also for non-interacting systems: a new effect of which we provide clear numerical evidence and analytic predictions. Analogous considerations, based on numerical results, are drawn for the evolution of the entanglement entropy.

13 pages, 6 figuers!

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• Towards a Generalized Hydrodynamics description of Rényi entropies in integrable systems
• Spreading of entanglement and correlations after a quench with intertwined quasiparticles
• Rényi entropies of generic thermodynamic macrostates in integrable systems
• Entanglement Dynamics after a Quench in Ising Field Theory: A Branch Point Twist Field Approach
• Exact full counting statistics for the staggered magnetization and the domain walls in the XY spin chain
• Entanglement spreading and quasiparticle picture beyond the pair structure
• Quantum caustics and the hierarchy of light cones in quenched spin chains
• Return amplitude after a quantum quench in the XY chain
• Negative tripartite mutual information after quantum quenches in integrable systems
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Entanglement links and the quasiparticle picture
• Scaling of the Formation Probabilities and Universal Boundary Entropies in the Quantum XY Spin Chain
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Light-cone and local front dynamics of a single-particle extended quantum walk
• State dependent spread of entanglement in relatively local Hamiltonians
• Exotic correlation spread in free-fermionic states with initial patterns
• Nonlinear entanglement growth in inhomogeneous spacetimes
• Ballistic propagation of a local impact in the one-dimensional $XY$ model
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model