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.
Highlights
Tensor network techniques have been applied very successfully to the study of ground states properties [10]
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
Summary
We want to model a 1+1 dimensional QFT on an infinite line, we will work in AdS3 with Poincare slicing. The equations of motion allow an inflow of energy from the AdS boundary into the bulk, triggered by the variation of the non-normalizable component of the scalar field. We set this component to zero along the paper by requiring the scalar field to vanish asymptotically. We assume that the position of the infrared wall is a parameter of the model not susceptible of any variation Under this condition, A0 can only be constant if the scalar field satisfies Dirichlet or Neumann boundary conditions at the wall [8, 9]. The equations (2.2)–(2.3) with Dirichlet boundary conditions at the wall admit static solutions with a non-trivial scalar profile [9].
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