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Updated: May 16, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Variational Approach to Entangled Non-Hermitian Open Systems.
Jiarui Zeng1, Wen-Qiang Xie2,3, Yang Zhao4
1School of Physics and Optoelectronic Engineering, Hainan University, Haikou 570228, China.
This study introduces a new computational method for open quantum systems, overcoming limitations of the pseudomode model. The approach efficiently handles complex dynamics and avoids exponential growth in computational space.
Area of Science:
- Quantum Physics
- Computational Chemistry
- Theoretical Physics
Background:
- The pseudomode model is effective for nonperturbative dynamics in open quantum systems.
- A key limitation is the exponential growth of Hilbert space, posing computational challenges.
Purpose of the Study:
- To develop a novel computational method to overcome the limitations of the pseudomode model.
- To enable efficient simulation of complex open quantum system dynamics.
Main Methods:
- Combining the multiple Davydov Ansatz with the Choi-Jamiolkowski isomorphism.
- Transforming the Lindblad equation into a non-Hermitian Schrödinger equation in a double Hilbert space.
- Utilizing the time-dependent variational principle for dynamics determination.
Main Results:
- The proposed method effectively circumvents the exponential Hilbert space growth associated with multiple pseudomodes.
- Demonstrated capability to handle multibath scenarios and potential intersections.
- Validated the method's effectiveness through calculations on three distinct cases.
Conclusions:
- The novel approach offers a computationally efficient tool for studying open quantum dynamics.
- Potential applicability to various pseudomode models and other dissipative systems.
- Provides a promising avenue for advancing research in quantum dynamics.
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