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Title:
Negativity in Random Tensor Networks and Holography
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Abstract:
We will discuss mixed state entanglement in random tensor networks, using the notion of negativity. Tensor networks are useful in many-body physics, as well as in holography, in particular in fixed-area states. We find the negativity spectrum, which is the analog of entanglement spectrum, in a general random tensor network with large bond dimensions, using a related flow network problem. We also study mixed states of a system coupled to gravity, such as a black hole with its Hawking radiation. We use Jackiw-Teitelboim gravity as a model, where the contribution to entanglement of Euclidean wormholes should be taken into account.
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