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Updated: Aug 27, 2025
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New trends in quantum integrability: recent experiments with ultracold atoms
Xi-Wen Guan1,2,3, Peng He4
1State Key Laboratory of Magnetic Resonance and Atomic and Molecular Physics, Wuhan Institute of Physics and Mathematics, APM, Chinese Academy of Sciences, Wuhan 430071, People's Republic of China.
Reports on Progress in Physics. Physical Society (Great Britain)
|September 28, 2022
Summary
Quantum engineering with ultracold atoms enables the creation of exactly solvable quantum many-body systems. These systems allow experimental validation of theoretical models, revealing unique one-dimensional quantum phenomena.
Area of Science:
- Quantum physics
- Atomic physics
- Condensed matter theory
Background:
- Advances in quantum engineering have enabled the creation of quantum many-body systems using ultracold atoms.
- Exactly solvable Yang-Baxter systems have been realized experimentally, allowing comparison with theoretical solutions.
Purpose of the Study:
- To review experimental developments in one-dimensional (1D) quantum many-body systems.
- To provide rigorous understanding of observed phenomena using exact solutions.
- To highlight the uniqueness of 1D quantum physics.
Main Methods:
- Utilizing ultracold atoms to engineer quantum many-body systems.
- Applying exact solutions of Yang-Baxter systems to analyze experimental results.
- Reviewing and analyzing a variety of 1D quantum phenomena.
Main Results:
- Successful realization of prototypical exactly solvable Yang-Baxter systems.
- Observation and analysis of diverse 1D phenomena including generalized hydrodynamics, dynamical fermionization, and Tomonaga-Luttinger liquids.
- Demonstration of spin-charge separation, fractional exclusion statistics, and quantum impurity problems.
Conclusions:
- Experimental realizations of integrable many-body problems in atomic physics provide crucial insights.
- These systems offer a platform for rigorous understanding of complex quantum phenomena.
- The field continues to drive developments in mathematics and physics, with potential for quantum technology.
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