Quantum Model Partitioning for Open Boundary Molecular Simulation
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Solution Overview
Problem
Current molecular modeling methods fail to accurately represent open quantum systems under open boundary conditions, as they use finite or semi-finite contacts that do not fully capture the infinite nature of the surrounding environment, leading to incomplete simulations of liquid systems.
Innovation Solution
The development of a quantum model that partitions the system into a device region and a surrounding lead region, with the lead region being a three-dimensionally shaped area extending infinitely, allowing for accurate analysis of open system quantum properties using methods like Non-Equilibrium Green's Function (NEGF) and Recursive Green's Function (RGF), and the introduction of the Recursive Open Boundary and Interfaces (ROBIN) method to handle arbitrary geometries and environments.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If finite or semi-finite source and drain contacts are used to model open quantum systems, then the system can be solved using NEGF or QTBM algorithms, but the contacts do not fully represent the infinite nature of the surrounding environment under open boundary conditions
Solution Approach 1:
The patent segments the quantum system into a central device region and surrounding lead regions, allowing the infinite environment to be represented as multiple finite regions that extend outward from the device. This segmentation enables the modeling of open boundary conditions by dividing the infinite space into manageable computational regions while maintaining the open system characteristics.
2Measurement precision
If the lead region is extended to better represent the infinite environment, then the accuracy of open boundary conditions improves, but the computational complexity and resource requirements increase
Solution Approach 1:
The patent applies local quality by assigning different levels of detail and computational treatment to different regions. The central device region receives the most detailed treatment, while the surrounding lead regions use progressively coarser representations. This allows accurate calculation of quantum properties in the device region without requiring equally detailed modeling of the entire infinite environment, thus reducing computational complexity while maintaining accuracy where it matters most.
3Adaptability or versatility
If the system is partitioned into device region and lead region, then open boundary conditions can be handled, but the device complexity and setup requirements increase
Solution Approach 1:
The patent extends the modeling from a single-device perspective to a multi-dimensional spatial hierarchy, where the device region is embedded within nested lead regions that extend in multiple directions. This dimensional expansion allows the model to handle arbitrary geometries and environments by adding spatial dimensions rather than increasing computational complexity within a single dimension.
Data Source
AI summary
A method of determining a property of a system, the system including at least one molecule in a solvent, comprises: generating a quantum model of the system, the quantum model including a device region and a lead region, the device region being spherical, paraboloid, cubic or arbitrary in shape and encompassing the at least one molecule and a portion of the solvent of the system, the lead region encompassing a region of the solvent surrounding the device region, determining a first property of the device region by solving a first quantum equation for the device region, determining the first property of the lead region by solving the first quantum equation under open boundary conditions for the lead region, and combining the first property of the device region with the first property of the lead region to arrive at a total first property for the system.