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Pointer States in the Born-Markov Approximation.
Uttam Singh1,2, Adam Sawicki1, Jarosław K Korbicz1
11Center for Theoretical Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland.
Pointer states, crucial for quantum mechanics, are now systematically described. These states, least affected by environmental interactions, differ from coherent states, challenging previous assumptions about quantum-classical distinctions.
Area of Science:
- Quantum Mechanics
- Open Quantum Systems
- Group Theory
Background:
- Pointer states are quantum states minimally impacted by environmental interactions.
- Despite their importance, a systematic description of pointer states was lacking.
- Understanding pointer states is key for quantum foundations and applications.
Purpose of the Study:
- To derive general conditions for describing pointer states.
- To investigate the relationship between pointer states and coherent states.
- To clarify the distinction between classicality defined by uncertainty relations versus environmental interaction.
Main Methods:
- Utilized the Born-Markov approximation.
- Combined methods from group theory and open quantum systems.
- Analyzed spin-spin and spin-boson models with arbitrary central spin J.
Main Results:
- Derived general conditions for identifying pointer states.
- Demonstrated that pointer states are generally not coherent states.
- Showed that 'closeness to classical' has distinct definitions based on uncertainty relations and environmental interaction.
Conclusions:
- Provided a systematic framework for understanding pointer states.
- Highlighted the difference between pointer states and coherent states.
- Clarified fundamental concepts in quantum mechanics regarding classicality and environmental decoherence.
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