Temporal Entanglement Transitions in the Periodically Driven Ising Chain

• URL: http://arxiv.org/abs/2510.13970v1
• Date: Wed, 15 Oct 2025 18:01:02 GMT
• Title: Temporal Entanglement Transitions in the Periodically Driven Ising Chain
• Authors: Karun Gadge, Abhinav Prem, Rishabh Jha,
• Abstract summary: Periodically driven quantum systems can host non-equilibrium phenomena without static analogs.<n>We discover $temporal$ $entanglement$ $transitions$ in a Floquet spin chain.<n>We show that these transitions are entanglement-driven, i.e., they require initially entangled states and remain invisible to conventional local observables.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Periodically driven quantum systems can host non-equilibrium phenomena without static analogs, including in their entanglement dynamics. Here, we discover $temporal$ $entanglement$ $transitions$ in a Floquet spin chain, which correspond to a quantum phase transition in the spectrum of the entanglement Hamiltonian and are signaled by dynamical spontaneous symmetry breaking. We show that these transitions are entanglement-driven, i.e., they require initially entangled states and remain invisible to conventional local observables. Intriguingly, we find these transitions across a broad range of driving frequencies (from adiabatic to high-frequency regime) and independently of drive details, where they manifest as periodic, sharp entanglement spectrum reorganizations marked by the Schmidt-gap closure, a vanishing entanglement echo, and symmetry-quantum-number flips. At high frequencies, the entanglement Hamiltonian acquires an intrinsic timescale decoupled from the drive period, rendering the transitions genuine steady-state features. Finite-size scaling reveals universal critical behavior with correlation-length exponent $\nu=1$, matching equilibrium Ising universality despite its emergence from purely dynamical mechanisms decoupled from static criticality. Our work establishes temporal entanglement transitions as novel features in Floquet quantum matter.

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