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Quantum rotor model for a Bose-Einstein condensate of dipolar molecules
J Armaitis1, R A Duine, H T C Stoof
1Institute for Theoretical Physics, Utrecht University, Leuvenlaan 4, 3584 CE Utrecht, The Netherlands.
We explore Bose-Einstein condensates of heteronuclear molecules using a quantum rotor model. Our findings reveal novel nematic phases and angular momentum squeezing due to many-body interactions in electric fields.
Area of Science:
- Quantum physics
- Molecular physics
- Condensed matter physics
Background:
- Bose-Einstein condensates (BECs) of heteronuclear molecules exhibit complex quantum behaviors.
- Understanding molecular dipole moments in electric fields is crucial for quantum technologies.
- Many-body interactions in BECs can lead to emergent quantum phases.
Purpose of the Study:
- To model the quantum behavior of heteronuclear molecular Bose-Einstein condensates in static electric fields.
- To investigate the emergent phases and quantum properties arising from many-body effects.
- To analyze the wave function of the macroscopic electric dipole moment.
Main Methods:
- Development and exact solution of a quantum rotor model for the macroscopic electric dipole moment.
- Analysis of the model's phase diagram, including symmetric, dipolar, axial, and planar nematic phases.
- Investigation of the probability distribution for molecular angular momentum.
Main Results:
- The quantum rotor model accurately describes the Bose-Einstein condensate in the studied electric field regime.
- Identified four distinct phases: symmetric (rotationally invariant), dipolar, axial nematic, and planar nematic.
- Observed squeezing in the probability distribution of the macroscopic angular momentum, indicating quantum correlations.
Conclusions:
- Many-body interactions in molecular Bose-Einstein condensates can induce novel nematic phases beyond single-particle predictions.
- The quantum rotor model provides a powerful framework for understanding these complex quantum states.
- The observed angular momentum squeezing highlights unique quantum phenomena in interacting molecular condensates.
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