Bridging two quantum quench problems -- local joining quantum quench and Möbius quench -- and their holographic dual descriptions
arXiv:2309.04665 · doi:10.1007/JHEP08(2024)213
Abstract
We establish an equivalence between two different quantum quench problems, the joining local quantum quench and the Möbius quench, in the context of -dimensional conformal field theory (CFT). Here, in the former, two initially decoupled systems (CFTs) on finite intervals are joined at . 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 , 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.
13 pages, 9 figures
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