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Brown dwarfs were recently found to display rotational modulations, commonlyattributed to cloud cover of varying thickness, possibly modulated byplanetary-scale waves. However, the long-term, continuous, high-precisionmonitoring data to test this hypothesis for more objects is lacking. Byapplying our novel photometric approach to TESS data, we extract ahigh-precision lightcurve of the closest brown dwarfs, which form the binarysystem Luhman 16AB. Our observations, that cover about 100 rotations of Luhman16B, display continuous lightcurve evolution. The periodogram analysis showsthat the rotational period of the component that dominates the lightcurve is5.28 h. We also find evidence for periods of 2.5 h, 6.94 h, and 90.8 h. We showthat the 2.5 h and 5.28 h periods emerge from Luhman 16B and that they consistof multiple, slightly shifted peaks, revealing the presence of high-speed jetsand zonal circulation in this object. We find that the lightcurve evolution iswell fit by the planetary-scale waves model, further supporting thisinterpretation. We argue that the 6.94 h peak is likely the rotation period ofLuhman 16A. By comparing the rotational periods to observed v sin(i)measurements, we show that the two brown dwarfs are viewed at angles close totheir equatorial planes. We also describe a long-period (P~91 h) evolution inthe lightcurve, which we propose emerges from the vortex-dominated polarregions. Our study paves the way toward direct comparisons of the predictionsof global circulation models to observations via periodogram analysis.

TESS Observations of the Luhman 16AB Brown Dwarf System: Rotational Periods, Lightcurve Evolution, and Zonal Circulation