Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929445622775808 |
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| author | Mao, Weibo Nozaki, Masahiro Tamaoka, Kotaro Tan, Mao Tian |
| author_facet | Mao, Weibo Nozaki, Masahiro Tamaoka, Kotaro Tan, Mao Tian |
| contents | We explore non-equilibrium processes in two-dimensional conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians by investigating the time dependence of the partition function, energy density, and entanglement entropy. The non-equilibrium processes considered in this paper are constructed out of the Lorentzian and Euclidean time evolution governed by different Hamiltonians. We explore the effect of the time ordering on entanglement dynamics so that we find that in a free boson CFT and RCFTs, this time ordering does not affect the entanglement entropy, while in the holographic CFTs, it does. Our main finding is that in the holographic CFTs, the non-unitary time evolution induced by the inhomogeneous Hamiltonian can retain the initial state information longer than in the unitary time evolution. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_15851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians Mao, Weibo Nozaki, Masahiro Tamaoka, Kotaro Tan, Mao Tian High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics We explore non-equilibrium processes in two-dimensional conformal field theories (2d CFTs) due to the growth of operators induced by inhomogeneous and homogeneous Hamiltonians by investigating the time dependence of the partition function, energy density, and entanglement entropy. The non-equilibrium processes considered in this paper are constructed out of the Lorentzian and Euclidean time evolution governed by different Hamiltonians. We explore the effect of the time ordering on entanglement dynamics so that we find that in a free boson CFT and RCFTs, this time ordering does not affect the entanglement entropy, while in the holographic CFTs, it does. Our main finding is that in the holographic CFTs, the non-unitary time evolution induced by the inhomogeneous Hamiltonian can retain the initial state information longer than in the unitary time evolution. |
| title | Local operator quench induced by two-dimensional inhomogeneous and homogeneous CFT Hamiltonians |
| topic | High Energy Physics - Theory Strongly Correlated Electrons Quantum Physics |
| url | https://arxiv.org/abs/2403.15851 |