Holographic quenches with a gap
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Abstract
In order to holographically model quenches with a gapped final hamiltonian, we consider a gravity-scalar theory in anti-de Sitter space with an infrared hard wall. We allow a time dependent profile for the scalar field at the wall. This induces an energy exchange between bulk and wall and generates an oscillating scalar pulse. We argue that such backgrounds are the counterpart of quantum revivals in the dual field theory. We perform a qualitative comparison with the quench dynamics of the massive Schwinger model, which has been recently analyzed using tensor network techniques. Agreement is found provided the width of the oscillating scalar pulse is inversely linked to the energy density communicated by the quench. We propose this to be a general feature of holographic quenches.
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da Silva, E., Lopez, E., Mas, J. et al. Holographic quenches with a gap. J. High Energ. Phys. 2016, 172 (2016). https://doi.org/10.1007/JHEP06(2016)172
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https://doi.org/10.1007/JHEP06(2016)172Sponsors
The work of E.daS. is nanced by the spanish
grant BES-2013-063972. E.L. has been supported by the spanish grant FPA2012-32828 and
SEV-2012-0249 of the Centro de Excelencia Severo Ochoa Programme. The work of J.M.
is supported in part by the spanish grant FPA2011-22594, by Xunta de Galicia (GRC2013-
024), by the Consolider-CPAN (CSD2007-00042), and by FEDER. A.S. is supported by
the European Research Council grant HotLHC ERC-2011-StG-279579 and by Xunta de
Galicia (Conselleria de Educaci on). Part of the numerical calculations were performed at
the Centro de Supercomputaci on de Galicia (CESGA).
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© The Authors. Article funded by SCOAP3. 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 made.