24 citations · 95 across the 9 of their papers we have counts for
10 papers
Encoding quantum-like information in classical synchronizing dynamics
Graziano Amati, Gregory D. Scholes
In previous work, we introduced a formalism that maps classical networks of nonlinear oscillators onto a quantum-like Hilbert space. We demonstrated that specific network transform…
Quantum information with quantum-like bits
Graziano Amati, Gregory D. Scholes
In previous work we have proposed a construction of quantum-like bits that could endow a large synchronizing classical system, for example of oscillators, with quantum-like functio…
Quantum-like product states constructed from classical networks
Gregory D. Scholes, Graziano Amati
Can complex classical systems be designed to exhibit superpositions of tensor products of basis states, thereby mimicking quantum states? We exhibit a one-to one map between the pr…
Dynamical signatures of non-Markovianity in a dissipative-driven qubit
Graziano Amati
We investigate signatures of non-Markovianity in the dynamics of a periodically-driven qubit coupled to a dissipative bosonic environment. We propagate the dynamics of the reduced…
Detailed balance in mixed quantum-classical mapping approaches
Graziano Amati, Jonathan R. Mannouch, Jeremy O. Richardson
The violation of detailed balance poses a serious problem for the majority of current quasiclassical methods for simulating nonadiabatic dynamics. In order to analyze the severity…
On detailed balance in nonadiabatic dynamics: From spin spheres to equilibrium ellipsoids
Graziano Amati, Johan E. Runeson, Jeremy O. Richardson
Trajectory-based methods that propagate classical nuclei on multiple quantum electronic states are often used to simulate nonadiabatic processes in the condensed phase. A long-stan…
Quasiclassical approaches to the generalized quantum master equation
Graziano Amati, Maximilian A. C. Saller, Aaron Kelly +1
The formalism of the generalized quantum master equation (GQME) is an effective tool to simultaneously increase the accuracy and the efficiency of quasiclassical trajectory methods…
Structural localization in the Classical and Quantum Fermi-Pasta-Ulam Model
Graziano Amati, Tanja Schilling
We study the statistics and short-times dynamics of the classical and the quantum Fermi-Pasta-Ulam chain in thermal equilibrium. We analyze the distributions of single-particle con…
Reconsidering the structure of nucleation theories
Anja Kuhnhold, Hugues Meyer, Graziano Amati +2
We discuss the structure of the equation of motion that governs nucleation processes at first order phase transitions. From the underlying microscopic dynamics of a nucleating syst…
Memory effects in the Fermi-Pasta-Ulam Model
Graziano Amati, Hugues Meyer, Tanja Schilling
We study the Intermediate Scattering Function (ISF) of the strongly-nonlinear Fermi-Pasta Ulam Model at thermal equilibrium, using both numerical and analytical methods. From the m…