An explicit rate Λ = 1/(6(√(2 + K/(2m)) + √(4 + K/(2m)))) √m is proven for L2 convergence of underdamped Langevin dynamics, recovering the optimal O(√m) order when the potential is convex.
Speeding up quantum markov processes through lifting
2 Pith papers cite this work. Polarity classification is still indexing.
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Proves KMS detailed balance on the transition part of an approximate Lindbladian suffices for the fixed point to approach the Gibbs state arbitrarily closely regardless of Lamb shift structure, giving O(ε^{-1}) thermalization complexity.
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Sharp hypocoercive convergence estimates for underdamped Langevin dynamics via the modified $L^2$ method
An explicit rate Λ = 1/(6(√(2 + K/(2m)) + √(4 + K/(2m)))) √m is proven for L2 convergence of underdamped Langevin dynamics, recovering the optimal O(√m) order when the potential is convex.
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Overcoming the Lamb Shift in System-Bath Interaction Models via KMS Detailed Balance: High-Accuracy Thermalization with Time-Bounded Interactions
Proves KMS detailed balance on the transition part of an approximate Lindbladian suffices for the fixed point to approach the Gibbs state arbitrarily closely regardless of Lamb shift structure, giving O(ε^{-1}) thermalization complexity.