Abstract
We investigate various aspects of capacity of entanglement in certain setups whose entanglement entropy becomes extensive and obeys a volume law. In particular, considering geometric decomposition of the Hilbert space, we study this measure both in the vacuum state of a family of non-local scalar theories and also in the squeezed states of a local scalar theory. We also evaluate field space capacity of entanglement between interacting scalar field theories. We present both analytical and numerical evidences for the volume law scaling of this quantity in different setups and discuss how these results are consistent with the behavior of other entanglement measures including Renyi entropies. Our study reveals some generic properties of the capacity of entanglement and the corresponding reduced density matrix in the specific regimes of the parameter space. Finally, by comparing entanglement entropy and capacity of entanglement, we discuss some implications of our results on the existence of consistent holographic duals for the models in question.
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Acknowledgments
We would like to thank Komeil Babaei Velni and Sare Khoshdooni for ongoing collaboration on related ideas. It is our pleasure to thank Krysztof Andrzejewski and Saleh Rahimi-Keshari for valuable discussions and correspondence. This work is based upon research funded by Iran National Science Foundation (INSF) under project No. 4013637.
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Mohammadi Mozaffar, M.R. Capacity of entanglement and volume law. J. High Energ. Phys. 2024, 68 (2024). https://doi.org/10.1007/JHEP09(2024)068
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DOI: https://doi.org/10.1007/JHEP09(2024)068