A falling magnetic monopole as a holographic local quench

An analytic static monopole solution is found in global AdS(4), in the limit of small backreaction. This solution is mapped in Poincare patch to a falling monopole configuration, which is dual to a local quench triggered by the injection of a condensate. Choosing boundary conditions which are dual to a time-independent Hamiltonian, we find the same functional form of the energy-momentum tensor as the one of a quench dual to a falling black hole. On the contrary, the details of the spread of entanglement entropy are very different from the falling black hole case, where the quench induces always a higher entropy compared to the vacuum, i.e. increment Delta S > 0. In the propagation of entanglement entropy for the monopole quench, there is instead a competition between a negative contribution to increment Delta S due to the scalar condensate and a positive one carried by the freely propagating quasiparticles generated by the energy injection.

Automated summary

An analytic static monopole solution in global AdS(4) is found, which is mapped to a falling monopole configuration in the Poincare patch. The energy-momentum tensor for the monopole quench is found to have the same functional form as a quench dual to a falling black hole. However, the spread of entanglement entropy for the monopole quench shows differences compared to the falling black hole case, as there is a competition between negative and positive contributions to the entropy increment.