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Abstract
In this paper we investigate various macroscopic quantum tunnellingphenomena and the phase coherence property of rotating Bose–Einsteincondensates. Based on the two-mode approximation, three differentcases are studied. When the rotating frequency is independent of timet, by usingthe SU(2)coherent state path integral method, we discuss two cases: a superposition of twomacroscopic states and a Josephson-type ground state. In addition, the specificconditions to reach the two cases are obtained. We also discuss the nonlinearLandau–Zener effect in the dynamic case in which the rotating frequency varies withtime t.
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