Wilsonian Effective Action and Entanglement Entropy

Iso, Satoshi; Mori, Takato; Sakai, Kyosuke

doi:10.3390/sym13071221

Cited by 13 publications

(8 citation statements)

References 62 publications

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“…After renormalization, such configurations of fluxes in the IR limit are either interpreted as twisting general vertices, which implies twisting more general composite operators, or abandoned as the UV part of contributions and absent in the IR universal part. They should be treated in the Wilsonian effective field theory and now under investigation [71].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators

Iso,

Mori,

Sakai

2021

Preprint

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This is an extended version of the previous paper [1] to study entanglement entropy (EE) of a half space in interacting field theories. In the previous paper, we have proposed a novel method to calculate EE based on the notion of Z M gauge theory on Feynman diagrams, and shown that EE consists of two particular contributions, one from a renormalized two-point correlation function in the two-particle irreducible (2PI) formalism and another from interaction vertices. In this paper, we further investigate them in more general field theories and show that the non-Gaussian contributions from vertices can be interpreted as renormalized correlation functions of composite operators.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators

Iso,

Mori,

Sakai

2021

Preprint

Self Cite

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“…where is the number of consecutive sites in A, the functions s(y) and c(y) are defined in (A. 16) and (A.17) respectively and…”

Section: Contour Functions For the Capacity Of Entanglementmentioning

confidence: 99%

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

Arias¹,

Giulio²,

Keski-Vakkuri³

et al. 2023

Preprint

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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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“…We note that there is a small, but growing, body of work on adopting a field theoretic approach towards understanding the dependence of many-particle entanglement on scale in systems with inter-particle interactions. While most of these works apply the Wilsonian RG towards obtaining entanglement measures from the effective action of interacting scalar theories in real-space [70][71][72][73][74] and in momentum-space [61,[75][76][77][78][79][80][81][82][83][84][85], some recent works along these lines have also been devoted to the study of interacting fermions at finite densities in momentum-space [86,87]. Our work, on the other hand, takes the Hamiltonian renormalisation route in momentum-space towards the same goal.…”

Section: The Strategymentioning

confidence: 99%

Universal entanglement signatures of quantum liquids as a guide to fermionic criticality

2023

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An outstanding challenge involves understanding the many-particle entanglement of liquid states of quantum matter that arise in systems of interacting electrons. The Fermi liquid (FL) shows a violation of the area-law in real-space entanglement entropy of a subsystem, believed to be a signature of the ground state of a gapless quantum critical system of interacting fermions. Here, we apply a $T=0$ renormalisation group approach to the FL, unveiling the long-wavelength quantum fluctuations from which long-range entanglement arises. A similar analysis of non-Fermi liquids such as the 2D marginal Fermi liquid (MFL) and the 1D Tomonaga-Luttinger liquid (TLL) reveals a universal logarithmic violation of the area-law in gapless electronic liquids, with a proportionality constant that depends on the nature of the underlying Fermi surface. We extend this analysis to classify the gapped quantum liquids emergent from the destabilisation of the Fermi surface by RG relevant quantum fluctuations arising from backscattering processes.

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Wilsonian Effective Action and Entanglement Entropy

Cited by 13 publications

References 62 publications

Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators

Non-Gaussianity of Entanglement Entropy and Correlations of Composite Operators

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

Universal entanglement signatures of quantum liquids as a guide to fermionic criticality

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