3 papers
nlin.CD2025
Gradient of the Adiabatic Gauge Potential in Classical Systems
Nathan Rose, Nachiket Karve, David K. Campbell
The adiabatic gauge potential (AGP) is the generator of unitary transformations which preserve the eigenbasis of a quantum Hamiltonian under parametric variation. While its usefuln…
nlin.CD2025
Diffusion as a Signature of Chaos
Nachiket Karve, Nathan Rose, David Campbell
While classical chaos is defined via a system's sensitive dependence on its initial conditions (SDIC), this notion does not directly extend to quantum systems. Instead, recent work…
nlin.CD2025
Adiabatic Gauge Potential as a Tool for Detecting Chaos in Classical Systems
Nachiket Karve, Nathan Rose, David Campbell
The interplay between chaos and thermalization in weakly non-integrable systems is a rich and complex subject. Interest in this area is further motivated by a desire to develop a u…