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Measure synchronization in a two-species bosonic Josephson junction
Jing Tian1, Haibo Qiu, Guanfang Wang
1College of Science, Xi'an University of Posts and Telecommunications, 710121 Xi'an, China and Institute of Theoretical Physics, Lanzhou University, 730000 Lanzhou, China.
Measure synchronization in two-species bosonic Josephson junctions (BJJ) shows critical behavior. Average energies merge at transition points, with a universal critical exponent of 1/2 across different scenarios.
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter physics
Background:
- Two-species bosonic Josephson junctions (BJJ) are crucial for studying quantum phenomena.
- Understanding measure synchronization (MS) is key to controlling quantum systems.
Purpose of the Study:
- To investigate measure synchronization (MS) in a two-species bosonic Josephson junction (BJJ) using semiclassical theory.
- To identify common features and critical behavior across different MS scenarios.
Main Methods:
- Semiclassical theory applied to a two-species BJJ.
- Analysis of six distinct MS scenarios (Josephson oscillation and self-trapping regimes).
- Investigation of average energies, power-law scaling, and 3D phase space dynamics.
Main Results:
- Identified six scenarios for MS in two-species BJJ.
- Demonstrated that average energies merge at the MS transition point.
- Verified power-law scaling with a critical exponent of 1/2 for all scenarios.
- Revealed separatrix crossing behavior at the MS transition point.
Conclusions:
- The study elucidates the general mechanism behind MS transitions in two-species BJJ.
- A universal critical exponent of 1/2 is found for MS.
- The findings are expected to be relevant for real atomic Bose gas systems.
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