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Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Non-Markovian quantum jump with generalized Lindblad master equation
1School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian, China. ghost820521@163.com
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|November 13, 2008
Summary
This study extends the Monte Carlo wave function method to simulate non-Markovian quantum dynamics. The quantum-trajectory-jump approach accurately reproduces system dynamics, offering an efficient alternative for complex simulations.
Area of Science:
- Quantum mechanics
- Quantum optics
- Computational physics
Background:
- The Monte Carlo wave function (MCWF) method, also known as the quantum-trajectory-jump approach, is effective for simulating Markovian quantum dynamics.
- Simulating high-dimensional quantum systems with dissipation can be computationally challenging.
- Existing methods struggle with non-Markovian dynamics.
Purpose of the Study:
- To extend the MCWF method to handle non-Markovian quantum dynamics.
- To validate the extended method using the generalized Lindblad master equation.
- To compare the extended method with traditional approaches.
Main Methods:
- Developed a non-Markovian extension of the Monte Carlo wave function method.
- Utilized the generalized Lindblad master equation to describe non-Markovian dynamics.
- Applied the method to two illustrative examples.
Main Results:
- The extended MCWF method accurately reproduces the dissipative dynamics of quantum systems.
- The method demonstrates its capability in handling non-Markovian processes.
- The study discusses the differences and computational efficiency compared to the Markovian jump approach.
Conclusions:
- The extended quantum-trajectory-jump approach is a viable and efficient tool for simulating non-Markovian quantum dynamics.
- This method offers a powerful alternative for studying complex dissipative systems.
- Further analysis confirms its accuracy and computational advantages.
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