Proves that the Lie algebra generated by strict and prolonged Hamiltonians is dense in the space of smooth contact Hamiltonians, yielding local universal splitting integrators realized via lifted symplectic and ODE methods.
Fractal decomposition of exponential operators with applications to many-body theories and monte carlo simulations.Physics Letters A, 146(6):319–323
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Commutation-graph coloring yields Trotter ordering strategies whose error performance is analyzed theoretically and measured empirically on Heisenberg-style lattices.
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Local Universal Splitting Integrators for Contact Hamiltonian Systems
Proves that the Lie algebra generated by strict and prolonged Hamiltonians is dense in the space of smooth contact Hamiltonians, yielding local universal splitting integrators realized via lifted symplectic and ODE methods.
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An Analysis of Commutation-Based Trotter Ordering Strategies on Heisenberg-Style Hamiltonians
Commutation-graph coloring yields Trotter ordering strategies whose error performance is analyzed theoretically and measured empirically on Heisenberg-style lattices.