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We report high-resolution spectroscopic detection of TiO molecular signaturein the day-side spectra of WASP-33 b, the second hottest known hot Jupiter. Weused High-Dispersion Spectrograph (HDS; R $\sim$ 165,000) in the wavelengthrange of 0.62 -- 0.88 $\mu$m with the Subaru telescope to obtain the day-sidespectra of WASP-33 b. We suppress and correct the systematic effects of theinstrument, the telluric and stellar lines by using SYSREM algorithm after theselection of good orders based on Barnard star and other M-type stars. Wedetect a 4.8-$\sigma$ signal at an orbital velocity of $K_{p}$= +237.5$^{+13.0}_{-5.0}$ km s$^{-1}$ and systemic velocity $V_{sys}$= -1.5 $^{+4.0}_{-10.5}$ km s$^{-1}$, which agree with the derived values from the previousanalysis of primary transit. Our detection with the temperature inversion modelimplies the existence of stratosphere in its atmosphere, however, we wereunable to constrain the volume-mixing ratio of the detected TiO. We alsomeasure the stellar radial velocity and use it to obtain a more stringentconstraint on the orbital velocity, $K_{p} = 239.0^{+2.0}_{-1.0}$ km s$^{-1}$.Our results demonstrate that high-dispersion spectroscopy is a powerful tool tocharacterize the atmosphere of an exoplanet, even in the optical wavelengthrange, and show a promising potential in using and developing similartechniques with high-dispersion spectrograph on current 10m-class and futureextremely large telescopes.

High-Resolution Spectroscopic Detection of TiO and Stratosphere in the Day-side of WASP-33b