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Coupled Lindblad Pseudomode Theory for Simulating Open Quantum Systems
Zhen Huang1, Gunhee Park2, Garnet Kin-Lic Chan3
1University of California, Department of Mathematics, Berkeley, California 94720, USA.
Physical Review Letters
|March 20, 2026
Summary
Coupled Lindblad pseudomode theory efficiently simulates quantum dynamics. New methods reduce computational cost, improving classical and quantum simulations for various applications.
Area of Science:
- Quantum dynamics simulation
- Non-Markovian quantum systems
- Computational physics
Background:
- Coupled Lindblad pseudomode theory simulates non-Markovian quantum dynamics.
- Existing methods face computational challenges and complex optimization.
Purpose of the Study:
- To theoretically and computationally improve coupled Lindblad pseudomode theory.
- To develop a robust algorithm for constructing coupled modes.
- To reduce the scaling of pseudomodes required for simulations.
Main Methods:
- Theoretical analysis of pseudomode scaling.
- Development of a numerical algorithm inspired by control theory's realization problem.
- Application to the spin-boson model for population dynamics and absorption spectra calculation.
Main Results:
- Theoretical evidence shows pseudomode scaling as polylog(T/ϵ).
- A robust numerical algorithm avoids nonconvex optimization.
- Demonstrated effectiveness via spin-boson model simulations.
Conclusions:
- Significant theoretical and computational advancements in coupled Lindblad framework.
- Enables efficient simulations on classical and near-term quantum platforms.
- Broad impact on quantum impurity problems and quantum simulations.
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