Observation of Discrete-Time-Crystal Signatures in an Ordered Dipolar Many-Body System

Abstract

A discrete time crystal (DTC) is a robust phase of driven systems that breaks the discrete time translation symmetry of the driving Hamiltonian. Recent experiments have observed DTC signatures in two distinct systems. Here we show nuclear magnetic resonance (NMR) observations of DTC signatures in a third, strikingly different system: an ordered spatial crystal. We use a novel DTC echo experiment to probe the coherence of the driven system. Finally, we show that interactions during the pulse of the DTC sequence contribute to the decay of the signal, complicating attempts to measure the intrinsic lifetime of the DTC.

5 pages, 4 figures; V3 includes a few more changes to match the as-published version as closely as possible, including title

References in corpus (18)

• Many body localization and thermalization in quantum statistical mechanics
• Observation of a Discrete Time Crystal
• Observation of discrete time-crystalline order in a disordered dipolar many-body system
• Floquet Time Crystals
• On the phase structure of driven quantum systems
• Discrete time crystals: rigidity, criticality, and realizations
• Time crystals: a review
• Modeling spontaneous breaking of time-translation symmetry
• Absolute Stability and Spatiotemporal Long-Range Order in Floquet systems
• Pre-thermal phases of matter protected by time-translation symmetry
• Equilibration and Order in Quantum Floquet Matter
• Floquet time crystal in the Lipkin-Meshkov-Glick model
• Temporal order in periodically driven spins in star-shaped clusters
• Critical Time Crystals in Dipolar Systems
• Clean Floquet Time Crystals: Models and Realizations in Cold Atoms
• ${}^{31}$P NMR study of discrete time-crystalline signatures in an ordered crystal of ammonium dihydrogen phosphate
• Generating Unexpected Spin Echoes in Dipolar Solids with Pi Pulses
• The Intrinsic Origin of Spin Echoes in Dipolar Solids Generated by Strong Pi Pulses

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• Programmable Quantum Simulations of Spin Systems with Trapped Ions
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