There wasn't much money in miniaturizing them so far. Cooling down tiny amounts of matter is much easier than cooling down larger amounts, so maybe there's hope for a microchip sized BEC in 20 years.
"multiple identical composite bosons (in this context sometimes known as 'bose particles') behave at high densities or low temperatures in a characteristic manner described by Bose–Einstein statistics: for example a gas of helium-4 atoms becomes a superfluid at temperatures close to absolute zero."
Helium leaks as nothing else, even more than hydrogen.
Let's say we have a um^3 of helium in the device proposed. Let's assume leak rate of 8*10^-9 of cm^3/sec. (1e-6/1e-2)^3/(8e-9)
is equal to 1.2499999999999998e-4 - all helium will leak in 1/8 of microsecond in the device proposed.