Modular path integral methodology for extended systems

Abstract

To address the computational challenges associated with solving the quantum mechanical equations, this work proposes to further develop the modular decomposition of the path integral (MPI), to enable the simulation of large molecular aggregates with complex topologies and the effects of strong matter-light coupling achieved by confining molecules in cavities. The MPI decomposition treats the internal dynamics of large molecular units (which comprise multiple electronic or spin states coupled to intramolecular vibrations or phonons) and their interaction using numerically exact, fully quantum mechanical procedures, using computational resources that scale linearly with system size. The proposed algorithmic developments will advance the capabilities of quantum simulation and will be used to investigate energy transport in large dendrimers, the entanglement and decoherence of coupled qubits in metal-organic frameworks, and the intricate dynamics of molecular polaritons. The results of these studies will have a widespread impact in the design of materials suitable for efficient energy harvest, for the design of optimal qubit architectures and for exploring the possibility of cavity-induced control at the molecular level.

Document Details

Document Type
DoD Grant Award
Publication Date
Mar 06, 2024
Source ID
FA95502310398

Entities

People

  • Nancy Makri

Organizations

  • Air Force Office of Scientific Research
  • United States Air Force
  • University of Illinois Urbana–Champaign

Tags

Fields of Study

  • Physics

Readers

  • Distributed Systems and Data Platform Development
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.

Technology Areas

  • Microelectronics
  • Quantum Computing