研究目的
Investigating the time evolution of entanglement and trace distance in an atom-cavity system described with random walk and non-random walk states.
研究成果
The consideration of random walk for atomic motion increases the rate of changes in entanglement, leading to phenomena like sudden death and birth of entanglement, with faster oscillations compared to the non-random walk case. The maximum entanglement is the same in both cases, but the minimum is lower for random walk. The trace distance indicates that the atom does not remain in its original state, changing more quickly in some cases. This highlights the impact of atomic motion on quantum dynamics in cavity systems.
研究不足
The study is theoretical and does not involve experimental validation. It assumes a simplified two-level atom model, ignoring multi-level effects. The random walk behavior is modeled quantum-mechanically, but real-world decoherence and experimental imperfections are not considered. The analysis is limited to specific initial conditions and parameters.
1：Experimental Design and Method Selection:
The study uses a theoretical model based on the Jaynes-Cummings model to describe a two-level atom in an electrodynamics cavity stimulated by longitudinal and transverse laser pumps. The Hamiltonian includes terms for non-interacting parts, atom-field interaction, and laser pumps. The Lindblad equation and time-dependent Schr?dinger equation are employed to evolve the system dynamics.
2：Sample Selection and Data Sources:
The system is a single two-level atom inside a cavity, with parameters such as atomic frequency, cavity field frequency, and laser pump amplitudes and frequencies. Initial states include separable states and Bell states.
3：List of Experimental Equipment and Materials:
Not applicable as this is a theoretical study; no physical equipment is mentioned.
4：Experimental Procedures and Operational Workflow:
The wave function is defined, and differential equations for coefficients are solved numerically to compute entanglement (using concurrence) and trace distance over time for random walk (RW) and non-random walk (NRW) cases.
5：Data Analysis Methods:
Entanglement is quantified using the concurrence criterion, and trace distance is calculated from the density matrix. Results are compared graphically for RW and NRW states.
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