Dynamics of charge imbalance resolved negativity after a local joining quench

A bstract In this paper, we consider the dynamics of charge imbalance resolved negativity after a local joining quench in the 1 + 1 dimensional free complex boson CFT. In the first part, we study the local joining quench by applying conformal maps, obtaining analytical universal results. We first ca...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2023; no. 12; pp. 128 - 25
Main Authors Chen, Hui-Huang, Huang, Zun-Xian
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 19.12.2023
Springer Nature B.V
SpringerOpen
Subjects
Black holes
Classical and Quantum Gravitation
Conformal mapping
Elementary excitations
Elementary Particles
Entropy
Equilibrium
Field Theories in Lower Dimensions
Fourier transforms
High energy physics
Lattice Integrable Models
Numerical models
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Symmetry
Field Theories in Lower Dimensions
Lattice Integrable Models
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Summary:A bstract In this paper, we consider the dynamics of charge imbalance resolved negativity after a local joining quench in the 1 + 1 dimensional free complex boson CFT. In the first part, we study the local joining quench by applying conformal maps, obtaining analytical universal results. We first calculate the quench dynamics of charged logarithmic negativity. Then using the Fourier transformation, we obtain the charge imbalance resolved negativity. The total negativity can be recovered from the charge-resolved ones. In the second part, we test our CFT predictions against the underlying lattice model numerically. Finally, we explain our results based on the quasi-particle picture.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2023)128