Entanglement dynamics and phase transitions of the Floquet cluster spin chain

Abstract

Cluster states were introduced in the context of measurement based quantum computing. In one dimension, the cluster Hamiltonian possesses topologically protected states. We investigate the Floquet dynamics of the cluster spin chain in an external field, interacting with a particle. We explore the entanglement properties of the topological and magnetic phases, first in the integrable spin lattice case, and then in the interacting quantum walk case. We find, in addition to thermalization, dynamical phase transitions separating low- and high-entanglement nonthermal states, reminiscent of the ones present in the integrable case, but differing in their magnetic properties. The nonergodic phases are characterized by the emergence of magnetic order, persistent at long times.

16 pages, 9 figures; accepted version

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Cited by in corpus (8)

• Competition of long-range interactions and noise at ramped quench dynamical quantum phase transition: The case of the long-range pairing Kitaev chain
• Scaling and Universality at Ramped Quench Dynamical Quantum Phase Transition
• Scaling and Universality at Noisy Quench Dynamical Quantum Phase Transitions
• Emergent gapless spiral phases and conformal Lifshitz criticality in the cluster Ising model with off-diagonal interactions
• Quantum correlations in a cluster spin model with three-spin interactions
• Dynamical Phase Transitions in Periodically Driving 1D Ising Model
• Entanglement transition in a cluster spin chain coupled with free spins
• Ancilla measurement-based Quantum Otto engine using double-pair spin architecture