most citedClassical correspondence beyond the Ehrenfest time for open quantum systems with general Lindbladians

5 citations · 8 across the 6 of their papers we have counts for

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6 papers

math-ph2023★ 5 cited

Classical correspondence beyond the Ehrenfest time for open quantum systems with general Lindbladians

Felipe Hernández, Daniel Ranard, C. Jess Riedel

Quantum and classical systems evolving under the same formal Hamiltonian may dramatically differ after the Ehrenfest timescale , even as $\hbar \to 0…

quant-ph2023★ 1 cited

Ehrenfest's theorem beyond the Ehrenfest time

Felipe Hernández, Daniel Ranard, C. Jess Riedel

In closed quantum systems, wavepackets can spread exponentially in time due to chaos, forming long-range superpositions in just seconds for ordinary macroscopic systems. A weakly c…

cs.LG2023

Analyzing Populations of Neural Networks via Dynamical Model Embedding

Jordan Cotler, Kai Sheng Tai, Felipe Hernández +2

A core challenge in the interpretation of deep neural networks is identifying commonalities between the underlying algorithms implemented by distinct networks trained for the same…

math.NT2022

On the multiplicative independence between and

David Crnčević, Felipe Hernández, Kevin Rizk +2

In this article we investigate different forms of multiplicative independence between the sequences and for irrational . Our main theorem shows that for…

math.CA2022

Towards a refined estimate for topological degree in one dimension

Felipe Hernández

In this paper we prove an inequality inspired by a conjecture of Brezis, which asks for a bound for the topological degree of a map from the circle to itself in terms of a nonlocal…

math-ph2022★ 2 cited

Quantum Diffusion via an Approximate Semigroup Property

Felipe Hernández

In this paper we introduce a new approach to the diffusive limit of the weakly random Schrodinger equation, first studied by L. Erdos, M. Salmhofer, and H.T. Yau. Our approach is b…