Category: Physics

Summary: Finding when bridge-assisted vibronic coupling turns a donor-pinned exciton ground state into a balanced donor-bridge-acceptor hybridized mode.

Energy transfer in donor-bridge-acceptor systems is strongly influenced by vibronic assistance and by disorder, but it is not obvious when bridge coupling becomes strong enough to create a genuinely shared quantum state instead of leaving the excitation pinned near the donor. This experiment asks for that hybridization threshold in a dense disordered exciton model.

The script constructs symmetric exciton Hamiltonians with donor, bridge, and acceptor structure, then uses iterative deepening and dense eigensolves to bisect the relevant coupling parameter from N=64 up to 2048. The key observable is whether the ground state becomes balanced across the donor, bridge, and acceptor sectors rather than remaining donor-dominated.

That makes the project a threshold study of bridge-enabled hybridization rather than a generic transfer simulation. The value lies in directly locating the onset of balanced donor-bridge-acceptor structure in a finite-size map that the script describes as missing from existing dense iterative studies.

Method: Dense symmetric eigensolves with iterative deepening and bisection on bridge-assisted coupling in disordered exciton Hamiltonians.

What is measured: Critical coupling threshold, donor-bridge-acceptor balance, bridge occupancy, ground-state hybridization score, leading eigenvalue behavior, and bracket width.