This analysis demonstrates that the lindblad equation aligns predictions from ads theory with dual cft calculations.
We develop, in the AdS/CFT correspondence, a method to compute correlation functions when the conformal field theory (CFT) is governed by the Lindblad equation for open quantum systems, via the anti–de Sitter (AdS) theory. Using a simple example in <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mi>AdS</a:mi></a:mrow><a:mrow><a:mn>3</a:mn></a:mrow></a:msub><a:mo>/</a:mo><a:msub><a:mrow><a:mi>CFT</a:mi></a:mrow><a:mn>2</a:mn></a:msub></a:mrow></a:math>, we demonstrate that the predictions of the AdS theory based on our method match the direct computations in the dual CFT. We also briefly discuss the relaxation problem and the holographic entropy in this example.
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Ishii et al. (2025) studied this question.
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