Abajo Arrastia, JavierSilva, Emilia daLópez, EsperanzaMas Solé, JavierSerantes Rubianes, Alexandre2020-04-162020-04-162014Abajo-Arrastia, J., da Silva, E., Lopez, E. et al. Holographic relaxation of finite size isolated quantum systems. J. High Energ. Phys. 2014, 126 (2014). https://doi.org/10.1007/JHEP05(2014)1261029-8479http://hdl.handle.net/10347/21453We study holographically the out of equilibrium dynamics of a finite size closed quantum system in 2+1 dimensions, modelled by the collapse of a shell of a massless scalar field in AdS4. In global coordinates there exists a variety of evolutions towards final black hole formation which we relate with different patterns of relaxation in the dual field theory. For large scalar initial data rapid thermalization is achieved as a priori expected. Interesting phenomena appear for small enough amplitudes. Such shells do not generate a black hole by direct collapse, but quite generically, an apparent horizon emerges after enough bounces off the AdS boundary. We relate this bulk evolution with relaxation processes at strong coupling which delay in reaching an ergodic stage. Besides the dynamics of bulk fields, we monitor the entanglement entropy, finding that it oscillates quasi-periodically before final equilibration. The radial position of the travelling shell is brought in correspondence with the evolution of the pattern of entanglement in the dual field theory. We propose, thereafter, that the observed oscillations are the dual counterpart of the quantum revivals studied in the literature. The entanglement entropy is not only able to portrait the streaming of entangled excitations, but it is also a useful probe of interaction effectseng© 2014 The Authors. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madehttps://creativecommons.org/licenses/by/4.0Gauge-gravity correspondenceBlack Holes in String TheoryHolography and condensed matter physics (AdS/CMT)journal article10.1007/JHEP05(2014)126open access