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.
arXiv comment13 pages, 9 figures
References in corpus (56)
- Many-Body Physics with Ultracold Gases
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Entanglement Entropy and Quantum Field Theory
- Aspects of Holographic Entanglement Entropy
- A Covariant Holographic Entanglement Entropy Proposal
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Time-dependence of correlation functions following a quantum quench
- Time Evolution of Entanglement Entropy from Black Hole Interiors
- Quantum Quenches in Extended Systems
- Holographic Dual of BCFT
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Relative entropy equals bulk relative entropy
- The Gravity Dual of a Density Matrix
- Aspects of AdS/BCFT
- Entanglement and correlation functions following a local quench: a conformal field theory approach
- Quantum quenches in 1+1 dimensional conformal field theories
- Three-dimensional quantum geometry and black holes
- Conformal Field Theory for Inhomogeneous One-dimensional Quantum Systems: the Example of Non-Interacting Fermi Gases
- Bulk locality from modular flow
- Conformal field theory out of equilibrium: a review
- Energy flow in non-equilibrium conformal field theory
- Central Charges for BCFTs and Holography
- Inhomogeneous field theory inside the arctic circle
- Local quantum quenches in critical one-dimensional systems: entanglement, the Loschmidt echo, and light-cone effects
- Time evolution of entanglement entropy from a pulse
- Non-equilibrium steady-states in conformal field theory
- Emergence of curved light-cones in a class of inhomogeneous Luttinger liquids
- A modular toolkit for bulk reconstruction
- Evolution operators in conformal field theories and conformal mappings: the entanglement Hamiltonian, the sine-square deformation, and others
- Spherical Deformation for One-dimensional Quantum Systems
- Connecting distant ends of one-dimensional critical systems by a sine-square deformation
- Quantum dynamics in sine-square deformed conformal field theory: Quench from uniform to non-uniform CFTs
- Periodically, Quasi-periodically, and Randomly Driven Conformal Field Theories: Part I
- Sine-square deformation of solvable spin chains and conformal field theories
- Emergent Black Hole Dynamics in Critical Floquet Systems
- Emergent Spatial Structure and Entanglement Localization in Floquet Conformal Field Theory
- Geometric approach to inhomogeneous Floquet systems
- Sine-square deformation of free fermion systems in one and higher dimensions
- Floquet conformal field theories with generally deformed Hamiltonians
- Finite-time universality in nonequilibrium CFT
- Boundary effects in the density-matrix renormalization group calculation
- Exact ground state of the sine-square deformed XY spin chain
- Suppression of finite-size effects in one-dimensional correlated systems
- Sine-square deformation and Mobius quantization of two-dimensional conformal field theory
- Double Local Quenches in 2D CFTs and Gravitational Force
- Diffusive Heat Waves in Random Conformal Field Theory
- Holographic Duals of Inhomogeneous Systems: The Rainbow Chain and the Sine-Square Deformation Model
- "Grand Canonical" Finite Size Numerical Approaches : a Route to Measuring Bulk Properties under Applied Field
- Dipolar quantization and the infinite circumference limit of two-dimensional conformal field theories
- The fine structure of heating in a quasiperiodically driven critical quantum system
- Classification of deformed Floquet Conformal Field Theories
- Infinite circumference limit of conformal field theory
- Modular Flow as a Disentangler
- Sine-Square Deformation and its Relevance to String Theory
- Holographic Complexity for disentangled states
- Non-Thermal Behavior in Conformal Boundary States