4.4 Article

A falling magnetic monopole as a holographic local quench

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 11, 页码 -

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SPRINGER
DOI: 10.1007/JHEP11(2021)048

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AdS-CFT Correspondence; Solitons Monopoles and Instantons

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  1. Ermenegildo Zegna's Group

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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.
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.

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