Bridging two quantum quench problems — local joining quantum quench and Möbius quench — and their holographic dual descriptions

• Published in: The journal of high energy physics Vol. 2024; no. 8; pp. 213 - 21
• Main Authors: Kudler-Flam, Jonah, Nozaki, Masahiro, Numasawa, Tokiro, Ryu, Shinsei, Tan, Mao Tian
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 27.08.2024; Springer Nature B.V; SpringerOpen
• Subjects: Classical and Quantum Gravitation; Conformal and W Symmetry; Coordinate transformations; Elementary Particles; Equilibrium; Equivalence; Field theory; Holography; Holography and Condensed Matter Physics (AdS/CMT); Non-Equilibrium Field Theory; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; Spacetime; String Theory; Time dependence; Holography and Condensed Matter Physics (AdS/CMT); Conformal and W Symmetry; Non-Equilibrium Field Theory
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP08(2024)213

A bstract 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.