Floquet Quantum Criticality

Abstract

We study transitions between distinct phases of one-dimensional periodically driven (Floquet) systems. We argue that these are generically controlled by infinite-randomness fixed points of a strong-disorder renormalization group procedure. Working in the fermionic representation of the prototypical Floquet Ising chain, we leverage infinite randomness physics to provide a simple description of Floquet (multi)criticality in terms of a new type of domain wall associated with time-translational symmetry-breaking and the formation of `Floquet time crystals'. We validate our analysis via numerical simulations of free-fermion models sufficient to capture the critical physics.

8+7 pages, 3+4 figures; published version

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Cited by in corpus (43)

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• Classical many-body time crystals
• Probing symmetries of quantum many-body systems through gap ratio statistics
• Time Crystals Protected by Floquet Dynamical Symmetry in Hubbard Models
• Interaction-induced time-symmetry breaking in driven quantum oscillators
• Percolation in Fock space as a proxy for many-body localisation
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• Topological and symmetry-enriched random quantum critical points
• Central charges of aperiodic holographic tensor network models
• Photonic Floquet time crystals
• Unifying topological phase transitions in noninteracting, interacting, and periodically driven systems
• Chimera Time-Crystalline order in quantum spin networks
• Critical properties of the prethermal Floquet Time Crystal
• Strong-Disorder Renormalization Group for Periodically Driven Systems
• Quantum Hall network models as Floquet topological insulators
• Topological edge states at Floquet quantum criticality
• Flow Equations for Disordered Floquet Systems
• Perturbative instability towards delocalization at phase transitions between MBL phases
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Adaptive Density-Matrix Renormalization-Group study of the disordered antiferromagnetic spin-1/2 Heisenberg chain
• Adaptive Density Matrix Renormalization Group for Disordered Systems
• Random free-fermion quantum spin chain with multi-spin interactions
• Gapless higher-order topology and corner states in Floquet systems
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Superuniversality from disorder at two-dimensional topological phase transitions
• Dynamic renormalization group theory for open Floquet systems
• Coherent multiple-period states in a resonantly driven qubit
• Topological physics in quantum critical systems
• A new route toward orthogonality
• Universal time evolution of string order parameter in quantum critical systems with boundary invertible or non-invertible symmetry breaking
• Quantum metamorphism
• Dynamical nonlinear optical response in time-periodic quantum systems
• The Sub-Exponential Critical Slowing Down at Floquet Time Crystal Phase Transition
• Universality in Non-Equilibrium Quantum Systems
• Bosonic Entanglement and Quantum Sensing from Energy Transfer in two-tone Floquet Systems
• Topology and edge modes surviving criticality in non-Hermitian Floquet systems
• Noninvertible Kramers-Wannier duality symmetries for the discrete-time quantum Ising chain
• Orbital magnetization of Floquet topological systems
• Temporal Entanglement Transitions in the Periodically Driven Ising Chain