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Open Quantum System Dynamics from Infinite Tensor Network Contraction
Valentin Link1, Hong-Hao Tu1, Walter T Strunz1
1Institut für Theoretische Physik, Technische Universität Dresden, D-01062, Dresden, Germany.
Physical Review Letters
|June 3, 2024
Summary
This study introduces an efficient matrix product operator (MPO) method for simulating non-Markovian open quantum systems with strong coupling. This approach significantly speeds up computations and enables exploration of steady-state physics.
Area of Science:
- Quantum Physics
- Computational Chemistry
- Condensed Matter Physics
Background:
- Simulating long-time dynamics of non-Markovian open quantum systems with strong coupling is computationally challenging.
- Existing methods often rely on complex representations like process tensors and tensor networks.
Purpose of the Study:
- To develop a computationally efficient method for simulating non-Markovian open quantum systems.
- To enable the exploration of steady-state physics in strongly coupled systems.
Main Methods:
- Utilizing infinite matrix product operator (MPO) evolution methods for efficient tensor network contraction.
- Applying the method to Gaussian environments for optimal performance.
Main Results:
- Achieved significant computational speed-up compared to existing proposals.
- Demonstrated that the MPO evolution automatically generates auxiliary degrees of freedom.
- Obtained a propagator in semigroup form, suitable for steady-state analysis.
Conclusions:
- The proposed MPO approach offers a powerful and efficient tool for studying complex quantum systems.
- This method opens new avenues for investigating phenomena like phase transitions in open quantum systems.
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