Splitting a critical spin chain

Abstract

We study a quench protocol that conserves the entanglement spectrum of a bipartition of a quantum system. As an example we consider the splitting of a critical Ising chain in two chains, and compare it with the well known case of joining of two chains. We show that both the out of equilibrium time evolution of global properties and the equilibrium regime after the quench of local properties are different in the two scenarios. Since the two quenches only differ in the presence/absence of the conservation of the entanglement spectrum, our results suggest that this conservation plays a fundamental role in both the out-of-equilibrium dynamics and the subsequent equilibration mechanism. We discuss the relevance of our results in the context of quantum simulators.

15 pages, 17 figures invited contribution to the special issue on Entanglement Entropies of JSTAT

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• Spinon and bound state excitation "light cones" in Heisenberg XXZ Chains
• Momentum-space entanglement after a quench in one-dimensional disordered fermionic systems
• Converting long-range entanglement into mixture: tensor-network approach to local equilibration
• Universal Single-Frequency Oscillations in a Quantum Impurity System After a Local Quench
• Ergotropy and entanglement in critical spin chains
• Dynamics of the impurity screening cloud following quantum quenches of the Resonant Level Model
• Tracking locality in time evolution of disordered systems