期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 12, 页码 -出版社
SPRINGER
DOI: 10.1007/JHEP12(2022)128
关键词
Field Theories in Lower Dimensions; Global Symmetries; Integrable Field Theories
资金
- ERC [771536]
- EPSRC [EP/W007045/1, EP/V031201/1]
- EPSRC Mathematical Sciences Doctoral Training Partnership [EP/W524104/1]
- Spanish Government [FPU18/00957]
- FPU Mobility subprogram [EST19/00616]
- MCIN grant [PID2020113406GB-I0]
In this paper, we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy. We showed that the ratio of Fourier-transforms of the symmetry resolved entanglement entropies takes a simple and universal form for these states. We also extended our results to excited states of interacting theories and developed a higher dimensional generalisation of the branch point twist field picture.
In a recent paper we studied the entanglement content of zero-density excited states in complex free quantum field theories, focusing on the symmetry resolved entanglement entropy (SREE). By zero-density states we mean states consisting of a fixed, finite number of excitations above the ground state in an infinite-volume system. The SREE is defined for theories that possess an internal symmetry and provides a measure of the contribution to the total entanglement of each symmetry sector. In our work, we showed that the ratio of Fourier-transforms of the SREEs (i.e. the ratio of charged moments) takes a very simple and universal form for these states, which depends only on the number, statistics and symmetry charge of the excitations as well as the relative size of the entanglement region with respect to the whole system's size. In this paper we provide numerical evidence for our formulae by computing functions of the charged moments in two free lattice theories: a 1D Fermi gas and a complex harmonic chain. We also extend our results in two directions: by showing that they apply also to excited states of interacting theories (i.e. magnon states) and by developing a higher dimensional generalisation of the branch point twist field picture, leading to results in (interacting) higher-dimensional models.
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