We report a 51 V nuclear magnetic resonance investigation of the frustrated spin-1=2 chain compound LiCuVO 4 , performed in pulsed magnetic fields and focused on high-field phases up to 56 T. For the crystal orientations H∥c and H∥b, we find a narrow field region just below the magnetic saturation where the local magnetization remains uniform and homogeneous, while its value is field dependent. This behavior is the first microscopic signature of the spin-nematic state, breaking spin-rotation symmetry without generating any transverse dipolar order, and is consistent with theoretical predictions for the LiCuVO 4 compound. DOI: 10.1103/PhysRevLett.118.247201 The search for new states of quantum matter is one of the most active research fields in condensed-matter physics. In this respect, frustrated magnetic systems attract a lot of interest as they accommodate various unconventional quantum states, having no direct classical analogues, ordered and disordered, induced by the competing interactions [1]. One particularly interesting state is the spinnematic phase, in which the quantum magnet behaves like a liquid crystal. Taking an external magnetic field H as the reference direction, a spin-nematic phase is defined as a state without any transverse dipolar (i.e., vector-type) order,The quadrupolar order parameter develops on the bonds between neighboring spins and can be described as a condensate of two-magnon pairs. It breaks the spinrotational symmetry about the magnetic field, but only partially as π rotations transform the order parameter into itself. The also broken translational symmetry of the order parameter is invisible in the dipolar channel. There is also an analogy between the spin-nematic phase and the superconducting state: the nematic phase can be considered as a "bosonic" superconductor formed as a result of twomagnon condensation [1,2].The concept of a spin-nematic state was developed by Andreev and Grishchuk more than 30 years ago [3], which incited an intense search for a realization in real materials. However, a definite experimental proof for the existence of such a phase has not been provided yet. Several magnetic insulators have been proposed as possible candidates, including the two-dimensional magnet NiGa 2 S 4 (spin-1 system) [4-6] and thin films of 3 He [7][8][9].In the past 10 years a large number of theoretical studies have supported the formation of the spin-nematic phase in frustrated zigzag 1D (chain) systems [10][11][12][13][14]. Among these, orthorhombic LiCuVO 4 is one of the most promising candidates [15,16]. It consists of spin-1=2 Cu 2þ chains along the orthorhombic b axis with a dominant nearestneighbor ferromagnetic interaction J 1 ¼ −1.6 meV, a frustrated next-nearest-neighbor antiferromagnetic interaction J 2 ¼ 3.8 meV, and an interchain coupling J ¼ −0.4 meV [17,18]. At zero magnetic field an incommensurate planar spiral structure is realized below T N ¼ 2.3 K, having the moments lying in the ab plane [19,20]. Above 10 T, an incommensurate, collinear spin-density wave (S...