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Published on: May 30, 2014
Investigating Non-Markovian Effects on Quantum Dynamics in Open Quantum Systems
Mariia Ivanchenko1, Peter L Walters1, Fei Wang1,2
1Department of Chemistry and Biochemistry, George Mason University, 4400 University Drive, Fairfax, Virginia 22030, United States.
This study reveals how memory effects, or non-Markovianity, impact quantum dynamics. Researchers developed a method to isolate these effects, enabling better control over quantum systems.
Area of Science:
- Quantum Dynamics
- Condensed Matter Physics
- Chemical Physics
Background:
- Quantum systems in condensed phases exhibit memory effects, known as non-Markovianity.
- Non-Markovian dynamics are more complex than Markovian (memoryless) dynamics.
- The precise impact of memory on quantum processes is not well understood.
Purpose of the Study:
- To rigorously separate non-Markovian contributions from quantum dynamics.
- To investigate and quantify the influence of memory effects on quantum systems.
- To explore the potential of non-Markovianity for quantum control applications.
Main Methods:
- Developed a procedure to map exact non-Markovian quantum propagators to the Lindblad form.
- Extracted the negative decay rate, a signature of non-Markovianity, from the Lindbladian.
- Analyzed system properties (coherence, entanglement, equilibrium distribution) by including/excluding the negative decay rate.
Main Results:
- Successfully mapped non-Markovian dynamics to a Lindblad form.
- Identified and isolated the negative decay rate as a key indicator of non-Markovianity.
- Quantified the distinct influence of non-Markovianity on quantum coherence, entanglement, and equilibrium states.
Conclusions:
- Non-Markovianity significantly influences quantum system properties.
- The developed method allows for precise analysis of memory effects in quantum dynamics.
- Leveraging non-Markovianity offers new avenues for quantum control strategies.
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