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A numerically exact, non-Markovian, non-Gaussian noise model for open quantum system dynamics
Zhi Lin1, Yuan-Chung Cheng2,3,4
1Department of Chemistry, National Taiwan University, Taipei City 106, Taiwan.
The Journal of Chemical Physics
|May 26, 2026
Summary
We introduce a new framework for simulating complex quantum systems with random telegraph noise. This method accurately models non-Markovian dynamics and noise effects, crucial for quantum technologies.
Area of Science:
- Quantum Physics
- Open Quantum Systems
- Computational Physics
Background:
- Modeling open quantum systems with non-Markovian and non-Gaussian noise is challenging.
- Classical stochastic processes significantly impact multiqubit system dynamics.
Purpose of the Study:
- To develop a novel theoretical framework for describing open quantum systems with random telegraph noise.
- To enable accurate simulation of non-Markovian dynamics in interacting multiqubit systems.
Main Methods:
- Developed a multichannel random-telegraph-noise hierarchical-equations (RTN-HE) framework.
- Derived a generalized Shapiro-Loginov identity and constructed a closed hierarchy of mixed system-noise moments.
- Utilized the properties of telegraph processes for exact hierarchy termination and ODE formulation.
Main Results:
- The RTN-HE framework provides a finite-dimensional linear system for non-Markovian dynamics without sampling.
- An equivalent tensorized Liouvillian allows for sparse and efficient state-space propagation.
- Demonstrated consistent enforcement of thermal detailed balance for controlled long-time behavior.
Conclusions:
- RTN-HE offers a controlled approach to quantify noise effects in multi-site open quantum systems.
- The framework is applicable to diverse systems like energy transfer and quantum information protocols.
- Enables direct comparison of different noise types and their impact on quantum dynamics.
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