Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement

Abstract

We compare the capacity of entanglement with the entanglement entropy by considering various aspects of these quantities for free bosonic and fermionic models in one spatial dimension, both in the continuum and on the lattice. Substantial differences are observed in the subleading terms of these entanglement quantifiers when the subsystem is made by two disjoint intervals, in the massive scalar field and in the fermionic chain. We define $c$-functions based on the capacity of entanglement similar to the one based on the entanglement entropy, showing through a numerical analysis that they display a monotonic behaviour under the renormalisation group flow generated by the mass. The capacity of entanglement and its related quantities are employed to explore the symmetry resolution. The temporal evolutions of the capacity of entanglement and of the corresponding contour function after a global quench are also discussed.

63 pages, 12 figures

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Cited by in corpus (6)

• Evolution of capacity of entanglement and modular entropy in harmonic chains and scalar fields
• Symmetry-Resolved Entanglement Entropy in Higher Dimensions
• Entanglement capacity of fermionic Gaussian states
• Probing the Factorized Island Branch with the Capacity of Entanglement in JT Gravity
• A contour for the entanglement negativity of bosonic Gaussian states
• The area and volume laws for entanglement of scalar fields in flat and cosmological spacetimes