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.

Probing RG flows, symmetry resolution and quench dynamics through the capacity of entanglement / Arias, Raúl; Di Giulio, Giuseppe; Keski-Vakkuri, Esko; Tonni, Erik. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1029-8479. - 2023:3(2023), pp. 1-60. [10.1007/jhep03(2023)175]

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

Di Giulio, Giuseppe
;
Tonni, Erik
2023-01-01

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.
2023
2023
3
1
60
175
10.1007/jhep03(2023)175
https://arxiv.org/abs/2301.02117
Arias, Raúl; Di Giulio, Giuseppe; Keski-Vakkuri, Esko; Tonni, Erik
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/131890
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