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

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arxiv 2301.02117 v1 pith:2BWZVKHO submitted 2023-01-05 cond-mat.stat-mech hep-th

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

Ra\'ul Arias , Giuseppe Di Giulio , Esko Keski-Vakkuri , Erik Tonni This is my paper
classification cond-mat.stat-mech hep-th
keywords entanglementcapacityentropyfermionicquantitiesquenchresolutionsymmetry
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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