Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
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arXiv
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| Format: | Preprint |
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2023
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| author | Kudler-Flam, Jonah Nozaki, Masahiro Numasawa, Tokiro Ryu, Shinsei Tan, Mao Tian |
| author_facet | Kudler-Flam, Jonah Nozaki, Masahiro Numasawa, Tokiro Ryu, Shinsei Tan, Mao Tian |
| contents | We establish an equivalence between two different quantum quench problems, the joining local quantum quench and the Möbius quench, in the context of $(1+1)$-dimensional conformal field theory (CFT). Here, in the former, two initially decoupled systems (CFTs) on finite intervals are joined at $t=0$. In the latter, we consider the system that is initially prepared in the ground state of the regular homogeneous Hamiltonian on a finite interval and, after $t=0$, let it time-evolve by the so-called Möbius Hamiltonian that is spatially inhomogeneous. The equivalence allows us to relate the time-dependent physical observables in one of these problems to those in the other. As an application of the equivalence, we construct a holographic dual of the Möbius quench from that of the local quantum quench. The holographic geometry involves an end-of-the-world brane whose profile exhibits non-trivial dynamics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04665 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions Kudler-Flam, Jonah Nozaki, Masahiro Numasawa, Tokiro Ryu, Shinsei Tan, Mao Tian High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons We establish an equivalence between two different quantum quench problems, the joining local quantum quench and the Möbius quench, in the context of $(1+1)$-dimensional conformal field theory (CFT). Here, in the former, two initially decoupled systems (CFTs) on finite intervals are joined at $t=0$. In the latter, we consider the system that is initially prepared in the ground state of the regular homogeneous Hamiltonian on a finite interval and, after $t=0$, let it time-evolve by the so-called Möbius Hamiltonian that is spatially inhomogeneous. The equivalence allows us to relate the time-dependent physical observables in one of these problems to those in the other. As an application of the equivalence, we construct a holographic dual of the Möbius quench from that of the local quantum quench. The holographic geometry involves an end-of-the-world brane whose profile exhibits non-trivial dynamics. |
| title | Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions |
| topic | High Energy Physics - Theory Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2309.04665 |