This place is accessed after obtaining the Amaranth Badge. You can access it north-west of Tourmaline Desert. Passing through the cave will lead you to Teknite Ridge. You can also come here using Rock Climb in Beryl Cave, but it brings you into an entirely different section.
The cave prompts you to use certain moves to change the field constantly, you’ll need Bulldoze/Magnitude/Earthquake/Tectonic Rage, Power Gem/Diamond Storm, and Rock Smash to navigate further. You also need to use the crystal keys (the ones you use for Luna's gym) to progress through some areas.In addition, you also need Strength and Tailwind to fully explore the next area - Teknite Ridge.
The stones seem to shimmer with light: Use Power Gem or Diamond Storm to turn Cave to Crystal Cavern.
The crystals glitter with fissures: Use Bulldoze, Magnitude, Earthquake, or Tectonic Rage to turn Crystal Cavern to Cave.
Head to Beryl Cave and use Rock Climb in the upper area. This will lead you all the way to Teknite Ridge. Go into the cave and you’ll be prompted to use a move. Use Dark Pulse in battle to change the field, then use Rock Smash to break into another area. In the area, you’ll have the opportunity to battle a Volcarona and later catch a wild Larvesta.