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06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Time-frequency domain analogues of phase space sub-planck structures
Ludmiła Praxmeyer1, Piotr Wasylczyk, Czesław Radzewicz
1Theoretical Physics Division, Sofia University, James Bourchier 5 Boulevard, 1164 Sofia, Bulgaria.
Physical Review Letters
|March 16, 2007
Summary
Experimental data reveals sub-Planck structures in phase space using frequency-resolved optical gating. A slight carrier frequency shift creates orthogonal states, challenging standard time-frequency analysis.
Area of Science:
- Quantum optics
- Quantum mechanics
- Phase space physics
Background:
- Sub-Planck structures represent quantum states with high phase space resolution.
- Standard time-frequency distributions can obscure fine quantum features.
- Interference phenomena in light pulses offer insights into quantum states.
Purpose of the Study:
- To experimentally demonstrate sub-Planck structures in phase space.
- To investigate the behavior of light pulse superpositions under frequency shifts.
- To highlight limitations of standard time-frequency analysis for quantum states.
Main Methods:
- Frequency-resolved optical gating (FROG) measurements.
- Analysis of interference patterns in measured spectra.
- Theoretical modeling of pulse superposition and frequency shifts.
Main Results:
- Observed interference features directly corresponding to sub-Planck structures.
- Demonstrated that a small sub-Fourier frequency shift induces orthogonality.
- Identified discrepancies between theoretical orthogonality and apparent overlap in time-frequency distributions.
Conclusions:
- Sub-Planck structures are experimentally verifiable using FROG.
- Standard time-frequency representations can be misleading for certain quantum states.
- Advanced analysis is needed to fully capture quantum phenomena in phase space.
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