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Accurate Truncations of Chain Mapping Models for Open Quantum Systems
Mónica Sánchez-Barquilla1, Johannes Feist1
1Departamento de Física Teórica de la Materia Condensada and Condensed Matter Physics Center (IFIMAC), Universidad Autónoma de Madrid, E-28049 Madrid, Spain.
Nanomaterials (Basel, Switzerland)
|August 27, 2021
Summary
This study introduces novel methods to shorten complex quantum system models. By strategically truncating environmental chains and allowing longer-range couplings, accurate simulations are achieved for extended durations.
Area of Science:
- Quantum physics
- Open quantum systems
- Nanophotonics
Background:
- Open quantum systems are crucial in quantum optics and nanophotonics.
- Chain mapping effectively models non-Markovian dynamics by transforming environments into coupled modes.
- Long chain lengths in this method limit simulations of extended time dynamics.
Purpose of the Study:
- To develop strategies for truncating environmental chains in quantum system simulations.
- To maintain accurate dynamics descriptions with reduced chain lengths.
- To explore modifications of chain mapping for improved efficiency.
Main Methods:
- Introducing controlled losses to chain modes to preserve system dynamics.
- Investigating various truncation strategies for environmental chains.
- Extending chain mapping to include next-nearest neighbor and longer-range couplings.
Main Results:
- Truncation strategies successfully preserve the effective environment dynamics.
- The extended chain mapping accurately reproduces arbitrary environments.
- Longer-range interactions do not increase the effective degrees of freedom.
Conclusions:
- Efficiently simulating open quantum systems is achievable with truncated chain mapping.
- Modified chain mapping offers a powerful tool for non-Markovian dynamics.
- These advancements enable longer-time simulations of quantum-emitter-nanophotonic interactions.
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