4 papers
Universal Dynamical Response to Slow Driving in Chaotic Systems
Nachiket Karve, Nathan Rose, David Campbell +1
We propose a unified perspective on classical and quantum chaos based on the stability of a system's stationary states under slow driving. We probe this sensitivity via the system'…
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…
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…
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…