Entanglement properties of the critical quench of O(N) bosons

Abstract

The entanglement properties of quenched quantum systems have been studied for a decade, however results in dimensions other than $d=1$ are generally lacking. We remedy this by investigating the entanglement properties of bosonic critical systems in $d=3$, both numerically and analytically, comparing the free and the interacting critical quench of an $O(N)$ model. We find that the evolution of the entanglement entropy for these two systems is nearly identical, as expected from the "quasi-particle" picture. However, the low-lying entanglement spectrum is controlled by the different critical exponent of the two systems, and therefore these exponents may be extracted by purely entanglement-theoretic calculations. We verify this scaling numerically.

10 pages, 9 figures, 1 appendix. Accepted for publication in PRB. Minor edits in this version

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• Central Charge of Periodically Driven Critical Kitaev Chains
• Time-resolved spectral density of interacting fermions following a quench to a superconducting critical point
• Critical properties of the prethermal Floquet Time Crystal
• Critical properties of the Floquet time crystal within the Gaussian approximation
• Entanglement properties of Floquet Chern insulators
• Quench dynamics in lattices above one dimension: the free fermionic case
• Entanglement spectrum of fermionic bilayer honeycomb lattice: Hofstadter butterfly
• Non-equilibrium dynamics of the open quantum $O(n)$-model with non-Markovian noise: exact results