Dynamics of charge imbalance resolved negativity after a global quench in free scalar field theory

Chen, Hui-Huang

doi:10.1007/jhep08(2022)146

Cited by 13 publications

(9 citation statements)

References 85 publications

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“…Also at more practical level, it can help to speed-up the numerical algorithms to simulate quantum many-body systems [40]. All that has been the breeding ground for a plethora of works that analyse the resolution of entanglement from different perspectives: spin chains [38,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59], integrable quantum field theories [60][61][62][63][64], CFTs [39,40,56,[65][66][67][68][69][70][71][72][73][74][75][76], holography [77][78][79][80], out-ofequilibrium [81][82][83][84][85][86] and disordered...…”

Section: Jhep09(2022)051mentioning

confidence: 99%

Multi-charged moments of two intervals in conformal field theory

Ares

Calabrese

Giulio

et al. 2022

J. High Energ. Phys.

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We study the multi-charged moments for two disjoint intervals in the ground state of two 1 + 1 dimensional CFTs with central charge c = 1 and global U(1) symmetry: the massless Dirac field theory and the compact boson (Luttinger liquid). For this purpose, we compute the partition function on the higher genus Riemann surface arising from the replica method in the presence of background magnetic fluxes between the sheets of the surface. We consider the general situation in which the fluxes generate different twisted boundary conditions at each branch point. The obtained multi-charged moments allow us to derive the symmetry resolution of the Rényi entanglement entropies and the mutual information for non complementary bipartitions. We check our findings against exact numerical results for the tight-binding model, which is a lattice realisation of the massless Dirac theory.

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Section: Jhep09(2022)051mentioning

confidence: 99%

Multi-charged moments of two intervals in conformal field theory

Ares

Calabrese

Giulio

et al. 2022

J. High Energ. Phys.

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“…semiclassical limit. A possible field where these ideas could be applied are out-of-equilibrium protocols [57,58]. It would be interesting to try to characterise entanglement growth for free/interacting theories in any dimension through this approach.…”

Section: Discussionmentioning

confidence: 99%

Symmetry resolved entanglement of excited states in quantum field theory. Part I. Free theories, twist fields and qubits

Capizzi

Castro-Alvaredo

Fazio

et al. 2022

J. High Energ. Phys.

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The excess entanglement resulting from exciting a finite number of quasiparticles above the ground state of a free integrable quantum field theory has been investigated quite extensively in the literature. It has been found that it takes a very simple form, depending only on the number of excitations and their statistics. There is now mounting evidence that such formulae also apply to interacting and even higher-dimensional quantum theories. In this paper we study the entanglement content of such zero-density excited states focusing on the symmetry resolved entanglement, that is on 1+1D quantum field theories that possess an internal symmetry. The ratio of charged moments between the excited and grounds states, from which the symmetry resolved entanglement entropy can be obtained, takes a very simple and universal form, which in addition to the number and statistics of the excitations, now depends also on the symmetry charge. Using form factor techniques, we obtain both the ratio of moments and the symmetry resolved entanglement entropies in complex free theories which possess U(1) symmetry. The same formulae are found for simple qubit states.

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“…If we repeat this procedure for different subsystem lengths, the numerical points should converge to the CFT prediction for the number distribution of Eq. (88). In that expression, the only free term is the global factor g, which is still undetermined.…”

Section: Entanglement Spectrummentioning

confidence: 99%