Floquet prethermalization with lifetime exceeding 90s in a bulk hyperpolarized solid

Abstract

We report the observation of long-lived Floquet prethermal states in a bulk solid composed of dipolar-coupled ${}^{13}$C nuclei in diamond at room temperature. For precessing nuclear spins prepared in an initial transverse state, we demonstrate pulsed spin-lock Floquet control that prevents their decay over multiple-minute long periods. We observe Floquet prethermal lifetimes $T_2^{\prime }\approx$90.9s, extended >60,000-fold over the nuclear free induction decay times. The spins themselves are continuously interrogated for $\sim$10min, corresponding to the application of $\approx$5.8M control pulses. The ${}^{13}$C nuclei are optically hyperpolarized by lattice Nitrogen Vacancy (NV) centers; the combination of hyperpolarization and continuous spin readout yields significant signal-to-noise in the measurements. This allows probing the Floquet thermalization dynamics with unprecedented clarity. We identify four characteristic regimes of the thermalization process, discerning short-time transient processes leading to the prethermal plateau, and long-time system heating towards infinite temperature. This work points to new opportunities possible via Floquet control in networks of dilute, randomly distributed, low-sensitivity nuclei. In particular, the combination of minutes-long prethermal lifetimes and continuous spin interrogation opens avenues for quantum sensors constructed from hyperpolarized Floquet prethermal nuclei.

5 pages, 5 figures. SI: 2 pages, 4 figures

References in corpus (5)

• The Magnus expansion and some of its applications
• Periodically-driven quantum systems: Effective Hamiltonians and engineered gauge fields
• Equilibrium states of generic quantum systems subject to periodic driving
• Coherence Time of a Solid-State Nuclear Qubit
• Controlling coherence using the internal structure of hard pi pulses

Cited by in corpus (2)

• Fermi's golden rule for heating in strongly driven Floquet systems
• High-Field Magnetometry with Hyperpolarized Nuclear Spins