Observation of a Prethermal $U(1)$ Discrete Time Crystal
- URL: http://arxiv.org/abs/2303.10238v1
- Date: Fri, 17 Mar 2023 20:30:33 GMT
- Title: Observation of a Prethermal $U(1)$ Discrete Time Crystal
- Authors: Andrew Stasiuk and Paola Cappellaro
- Abstract summary: A time crystal is a state of periodically driven matter which breaks discrete time translation symmetry.
Recent theoretical work has developed the notion of prethermalization.
We show the existence of a long-lived prethermal regime whose lifetime is significantly enhanced by.
strengthening an emergent $U(1)$ conservation law.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: A time crystal is a state of periodically driven matter which breaks discrete
time translation symmetry. Time crystals have been demonstrated experimentally
in various programmable quantum simulators and exemplify how non-equilibrium,
driven quantum systems can exhibit intriguing and robust properties absent in
systems at equilibrium. These robust driven states need to be stabilized by
some mechanism, with the preeminent candidates being many-body localization and
prethermalization. This introduces additional constraints that make it
challenging to experimentally observe time crystallinity in naturally occurring
systems. Recent theoretical work has developed the notion of prethermalization
\textit{without temperature}, expanding the class of time crystal systems to
explain time crystalline observations at (or near) infinite temperature. In
this work, we conclusively observe the emergence of a prethermal $U(1)$ time
crystalline state at quasi-infinite temperature in a solid-state NMR quantum
emulator by verifying the requisites of prethermalization without temperature.
In addition to observing the signature period-doubling behavior, we show the
existence of a long-lived prethermal regime whose lifetime is significantly
enhanced by strengthening an emergent $U(1)$ conservation law. Not only do we
measure this enhancement through the global magnetization, but we also exploit
on-site disorder to measure local observables, ruling out the possibility of
many-body localization and confirming the emergence of long-range correlations.
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