Exact diagonalization study of energy-level statistics in harmonically confined interacting bosons
1Jamia Millia Islamia, Department of Physics, (A Central University), New Delhi 110025, India.
Physical Review. E
|February 20, 2026
Summary
We studied spectral properties of interacting bosons in a quasi-2D trap. Rotation enhances chaos, transitioning from regular to chaotic behavior with increasing interaction strength.
Area of Science:
- Quantum mechanics
- Condensed matter physics
- Atomic physics
Background:
- Investigating spectral properties of interacting bosons is crucial for understanding quantum many-body systems.
- Harmonic confinement and repulsive Gaussian potentials model realistic physical scenarios.
Purpose of the Study:
- To explore the spectral properties of bosons under harmonic confinement in a quasi-2D plane.
- To analyze the influence of interaction strength and rotation on spectral correlations.
Main Methods:
- Exact diagonalization was employed to study systems of N=12, 16, and 20 bosons.
- Nearest-neighbor spacing distribution (NNSD), ratios of consecutive level spacings, Dyson-Mehta Δ3 statistic, and level number variance were used.
Main Results:
- Nonrotating systems show Poisson distribution (regular) in moderate interactions and GOE distribution (chaotic) in strong interactions.
- Rotating systems exhibit weak chaos in moderate interactions and strong chaos in strong interactions.
- Rotation consistently enhances chaotic behavior across interaction regimes.
Conclusions:
- The spectral properties of confined bosons are sensitive to interaction strength and angular momentum.
- Rotation plays a significant role in driving the system towards chaotic dynamics.
- This study provides insights into quantum chaos in interacting many-body systems.
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