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Adiabatic state preparation of interacting two-level systems
R T Brierley1, C Creatore, P B Littlewood
1TCM, Cavendish Laboratory, JJ Thomson Avenue, Cambridge, CB3 0HE, United Kingdom.
Physical Review Letters
|September 26, 2012
Summary
Adiabatic rapid passage (ARP) can prepare states in interacting quantum systems. Interactions necessitate broader frequency-swept pulses for successful state transfer, impacting pulse design.
Area of Science:
- Quantum physics
- Many-body systems
- Quantum optics
Background:
- Adiabatic rapid passage (ARP) is a technique for quantum state manipulation.
- Interacting two-level systems are relevant in cavity QED and quantum dots.
- Understanding these systems is key to advancing quantum technologies.
Purpose of the Study:
- To investigate the use of ARP for state preparation in interacting many-body quantum systems.
- To analyze the impact of interactions on ARP pulse requirements.
- To provide insights into the general applicability of ARP in diverse quantum systems.
Main Methods:
- Analysis of the one-dimensional case using the Jordan-Wigner transformation.
- Mean-field limit analysis using the Lipkin-Meshkov-Glick Hamiltonian.
- Theoretical modeling of frequency-swept driving pulses for ARP.
Main Results:
- Demonstrated ARP's capability for state preparation in the presence of interactions.
- Identified the dependence of required pulse shapes on interaction strength.
- Quantified the increase in required pulse bandwidth due to interactions.
Conclusions:
- ARP is a viable method for state preparation in interacting quantum systems.
- Interactions impose constraints on pulse bandwidth and shape for effective state transfer.
- The findings offer general applicability for designing ARP protocols in quantum many-body systems.
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