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Quantum phase transitions of polar molecules in bilayer systems
We investigate the quantum phase transitions of bosonic polar molecules in a
two-dimensional double layer system. We show that an interlayer bound state of
dipoles (dimers) can be formed when the dipole strength is above a critical
value, leading to a zero-energy resonance in the interlayer s-wave scattering
channel. In the positive detuning side of the resonance, the strong repulsive
interlayer pseudopotential can drive the system into a maximally entangled
state, where the wave function is a superposition of two states that have all
molecules in one layer and none in the other. We discuss how the zero-energy
resonance, dimer states, and the maximally entangled state can be measured in
time-of-flight experiments.Comment: Minor correction
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