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Updated: Jun 8, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Spectrum of two-level systems with discrete frequency fluctuations
Yoav Sagi1, Rami Pugatch, Ido Almog
1Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 76100, Israel.
Physical Review Letters
|September 28, 2010
Summary
We developed a new formula for the spectrum of two-level systems with random frequency jumps. Our theory accurately predicts experimental results from cold 87Rb atoms without fitting parameters.
Area of Science:
- Atomic Physics
- Quantum Optics
- Statistical Mechanics
Background:
- Two-level systems are fundamental quantum systems.
- Environmental interactions can cause random frequency fluctuations.
- Understanding spectral properties is crucial for quantum technologies.
Purpose of the Study:
- To theoretically and experimentally investigate the spectral properties of two-level systems subjected to frequency jumps.
- To derive a closed-form formula for the spectrum.
- To compare theoretical predictions with experimental data.
Main Methods:
- Theoretical modeling of two-level systems coupled to a noisy environment.
- Derivation of a spectral formula involving resonant frequency distribution and Poisson rate.
- Experimental realization using optically trapped cold 87Rb atoms in a 3D harmonic trap.
Main Results:
- A closed-form formula for the spectrum was derived.
- The spectrum deviates from the generalized Gumbel function for normal distributions.
- Experimental spectra matched theoretical predictions without fitting parameters.
Conclusions:
- The developed theory accurately describes the spectral properties of quantum systems with frequency noise.
- The findings are validated by experiments with cold atoms.
- This work provides a tool for analyzing quantum systems in complex environments.
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