Quantum phase transitions are among the most fantastic phenomena in Nature. Here we show that observing them in different inertial frames may lead to dramatically different phenomena. Specifically, we observe two kinds of 2d Superfluid-Mott transitions in a square lattice in a lab frame where the lattice is at rest and in a frame moving with a constant velocity c.
(2) the second one has the dynamic exponent z=2, without the PH symmetr ,and an emergent Galileo invariance.
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