Fast Evaluation of the Sixth-Order Time-Convolutionless Master-Equation Generator and Beyond

arXiv:2609.18806 · quant-ph, physics.comp-ph · Submitted 2026-09-16 · Read on arXiv

quant-ph, physics.comp-ph

Submitted: 2026-09-16

Updated: 2026-09-16

Code: https://github.com/jcarrots/fasttcl

Terminology

• Core — 5× in this paper · explained in 2 episodes
• Benchmark — 3× in this paper · explained in 2 episodes
• Trace — 2× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Time-convolutionless master equation: Perturbative expansions to arbitrary order and application to quantum dots
• Extending spin-lattice relaxation theory to three-phonon processes
• Higher-order corrections to the Redfield equation with respect to the system-bath coupling based on the hierarchical equations of motion
• Benchmarking TCL4: Assessing the Usability and Reliability of Fourth-Order Approximations
• Sixth-order time-convolutionless master equation and beyond: Late-time resummations, two types of divergences, and the limits of validity

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