Experimental observation of conformal Floquet heating and non-heating phases initiated from the critical ground state of the transverse-field Ising model on a trapped-ion processor, with extracted central charge c=1/2.
Floquet conformal field theory
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abstract
Given a $generic$ two-dimensional conformal field theory (CFT), we propose an analytically solvable setup to study the Floquet dynamics of the CFT, i.e., the dynamics of a CFT subject to a periodic driving. A complete phase diagram in the parameter space can be analytically obtained within our setup. We find two phases: the heating phase and the non-heating phase. In the heating phase, the entanglement entropy keeps growing linearly in time, indicating that the system keeps absorbing energy; in the non-heating phase, the entanglement entropy oscillates periodically in time, i.e., the system is not heated. At the phase transition, the entanglement entropy grows logarithmically in time in a universal way. Furthermore, we can obtain the critical exponent by studying the entanglement evolution near the phase transition. Mathematically, different phases (and phase transition) in a Floquet CFT correspond to different types of M$\ddot{\text{o}}$bius transformations.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.
citing papers explorer
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Observing conformal Floquet dynamics on a digital quantum processor
Experimental observation of conformal Floquet heating and non-heating phases initiated from the critical ground state of the transverse-field Ising model on a trapped-ion processor, with extracted central charge c=1/2.
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Krylov Complexity in Periodically Driven CFTs and Critical Fermions
Arnoldi coefficients approach unity exponentially in heating phases of driven CFTs but oscillate in non-heating phases; lattice realizations show distinct spectral and graph signatures despite similar CFT Krylov growth.