Actually, Bose Einstein Condensation (BEC) and superconductivity occur at temperature higher than 0 kelvin (absolute zero). In superconductivity, the temperature of occurrence (critical temperature) can be over 100 kelvin.
The lowest temperature ever measured is 38 picokelvin (1E-9 or 0.000000038). It was measured in a BEC experiment. To put that in perspective, today’s quantum computers work at 10’s of millikelvin (1E12 or 0.01).
I’m no theorist, so I have always had questions about whether 0 kelvin is possible. Quantum mechanically, I can see how a state of <0> kelvin (probabilistic expectation of 0) can be achieved for a quantum state like a BEC, but don’t see how the value 0 can be observed.
Also, I’ve wondered: In a superconductor (at least, in a BCS superconductor) pairs are created through the interaction of electrons with phonons. Phonons are quantized vibrations of the atomic lattice of the material. If one could achieve absolute zero temperature, since temperature is a measure of the motion of the atoms, at zero there should be no motion of the atoms, therefore no lattice vibrations. So can superconductivity exist at absolute zero?
TLDR - BEC and superconductivity have nothing to do with Absolute Zero