SciPost Submission Page
Operator Entanglement in Local Quantum Circuits II: Solitons in Chains of Qubits
by Bruno Bertini, Pavel Kos, Tomaz Prosen
|As Contributors:||Bruno Bertini|
|Submitted by:||Bertini, Bruno|
|Submitted to:||SciPost Physics|
|Subject area:||Quantum Physics|
We provide exact results for the dynamics of local-operator entanglement in quantum circuits with two-dimensional wires featuring solitons, i.e. local operators which, up to a phase, are simply shifted by the time evolution. We classify all circuits allowing for solitons and show that only dual-unitary circuits can feature moving solitons. Then, we rigorously prove that if a circuit has a soliton moving to the left (right), the entanglement of local operators initially on even (odd) sites saturates to a constant value and its dynamics can be computed exactly. Finally, we present a closed-form expression for the local-operator entanglement entropies in circuits with solitons in both directions. Our results hold irrespectively of integrability.