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SAKE: Spectral Autodiff Kernel Expansion for Geometric Liouvillian Transport. A Differential-Geometric Framework for Response Transport in Quantum Dynamical Systems
Eric R. Bittner, Carlos Silva-Acuna, Hao Li +1
We introduce the Spectral Autodiff Kernel Expansion (SAKE), a differentiable computational framework for transporting nonlinear spectroscopic response between neighboring quantum d…
State--Generator Geometry of Open Quantum Systems: Compatibility and Covariant Transport
Eric R. Bittner, Carlos Silva-Acuna
We develop a geometry for transporting stationary-state response across the control space of an open quantum system. A physical model is represented by the ordered pair of its stat…
Geometric Response in Open Quantum Systems: Coherence, Curvature, and Susceptibility
Eric R. Bittner, Carlos Silva-Acuña
We develop a response-geometric framework for open quantum systems by decomposing the stationary-state response tensor into symmetric and antisymmetric sectors. The symmetric secto…
Liouvillian Geometry of Multidimensional Spectra: Pathway Transport and Observational Holonomy in Open Quantum Systems
Eric R. Bittner, Carlos Silva-Acuña, Hao Li
Liouville pathways provide the conceptual foundation for interpreting multidimensional spectroscopies and are commonly represented as independent contributions to the nonlinear res…
A quantum analog of Huygen's clock: noise-induced synchronization
Bhavay Tyagi, Hao Li, Eric R. Bittner +2
We propose a quantum analogue of the Huygens clock, in which the phases of two spins achieve synchronization through their interaction with a shared environment. The environment fu…