The Bose Condensate happens a fraction of a degree above absolute zero. Plasmas, which are so energetic they are stripped of electrons , happen at thousands of degrees.
Liquids happen at liquid temperature. But linearized Luttinger Liquids form at much higher temperatures. Lattice physics generate the conditions of a linearized BEC.
https://freerepublic.com/focus/f-chat/3118117/posts
And all the while, we are witnessing that BECs form at higher and higher temperatures to begin with.
https://phys.org/news/2013-04-superheated-bose-einstein-condensate-critical-temperature.amp
https://www.pnas.org/content/110/8/2735
https://arstechnica.com/science/2013/02/bose-einstein-condensate-created-at-room-temperature/?amp=1