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New horizons for inhomogeneous quenches and Floquet CFT
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A fruitful avenue in investigating out-of-equilibrium quantum many-body systems is to abruptly change their Hamiltonian and study the subsequent evolution of their quantum state. If this is done once, the setup is called a quench, while if it is done periodically, it is called Floquet driving. We consider the solvable setup of a two-dimensional CFT driven by Hamiltonians built out of conformal symmetry generators: in this case, the quantum dynamics can be understood using two-dimensional geometry. We investigate how the dynamics is reflected in the holographic dual three-dimensional spacetime and find new horizons. We argue that bulk operators behind the new horizons are reconstructable by virtue of modular flow.
Forward citations
Cited by 2 Pith papers
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Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results
Quasiperiodically varying the driving Hamiltonian in a 1D conformal field theory produces analytically solvable heating and non-heating phases, with an exact phase transition line.
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Non-relativistic Floquet Conformal Field Theory
Periodically driven non-relativistic conformal field theories show three Floquet phases — oscillatory, heating, and power-law transition — fixed exactly by the SO(2,1) representation parameter ρ.
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