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Effective Theory of Nonadiabatic Quantum Evolution Based on the Quantum Geometric Tensor
O Bleu1, G Malpuech1, Y Gao2
1Institut Pascal, PHOTON-N2, University Clermont Auvergne, CNRS, 4 avenue Blaise Pascal, 63178 Aubière Cedex, France.
Physical Review Letters
|August 8, 2018
Summary
The quantum geometric tensor (QGT) governs quantum system evolution. Its components dictate phases and wave packet trajectories in experiments, differentiating adiabatic and nonadiabatic effects.
Area of Science:
- Quantum mechanics
- Condensed matter physics
Background:
- The quantum geometric tensor (QGT) is crucial for understanding quantum systems.
- Its components, Berry curvature and quantum metric, describe distinct aspects of quantum evolution.
Purpose of the Study:
- To investigate the role of all components of the QGT in the dynamics of two-band quantum systems.
- To analyze the impact of QGT on quantum phases and wave packet motion in realistic experiments.
Main Methods:
- Derivation of semiclassical equations of motion with nonadiabatic corrections for geodesic trajectories.
- Utilizing a planar microcavity in the strong coupling regime as a model system.
Main Results:
- Demonstrated that both Berry curvature (imaginary part) and quantum metric (real part) of the QGT are essential.
- Showed that these components influence acquired phases and accelerated wave packet trajectories.
- Successfully extracted QGT components via light polarization measurements in the microcavity system.
Conclusions:
- The QGT comprehensively describes quantum system evolution, including nonadiabatic effects.
- Experimental measurement of QGT components is feasible and confirms their impact on quantum dynamics.
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