This is a Jeevasamadhi of Sri Kuttaiyar Swamikal. This Mutt (Madam) has multiple jeevasamadhis (at least five).
There is a place to sit and meditate next to the Jeevasamadhi. You can go into meditative states here effortlessly.
How to get there
His Samadhi Koil is in Madurai, 1 km South of Meenakshi Amman Temple.