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Quantum dynamics driven by continuous laser fields under measurements: towards measurement-assisted quantum dynamics
1Department of Fundamental Science and Technology, Graduate School of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan. michi@chem.keio.ac.jp
The Journal of Chemical Physics
|December 15, 2005
Summary
Quantum measurements can freeze system dynamics or isolate unmeasured states. This study introduces a superoperator to analyze measurement effects, revealing potential for measurement-assisted quantum control.
Area of Science:
- Quantum mechanics
- Quantum optics
- Quantum information science
Background:
- Understanding quantum system dynamics under continuous measurement is crucial.
- Laser-driven systems exhibit complex behaviors influenced by external fields.
- The impact of measurement on quantum coherence and population dynamics requires detailed investigation.
Purpose of the Study:
- To develop a theoretical framework for analyzing quantum system dynamics under continuous measurement.
- To investigate how quantum measurements affect coherent population dynamics driven by laser fields.
- To explore the potential of measurement-assisted quantum control.
Main Methods:
- Definition of a superoperator to account for system transitions due to measurement.
- Derivation of an effective Liouvillian governing incoherent population dynamics under frequent measurements.
- Application of the formulation to two-level and Lambda-type three-level systems.
Main Results:
- Quantum system dynamics become frozen in the frequent measurement limit.
- The space spanned by unmeasured states becomes isolated from the original system.
- Quantum measurements were shown to hinder coherent population dynamics in specific systems.
Conclusions:
- The developed superoperator effectively describes measurement-induced transitions.
- Frequent quantum measurements can lead to frozen dynamics and isolated subspaces.
- Analysis suggests that quantum control can be achieved by assisting quantum measurements.