6 papers
Thermalization in high-dimensional systems: the (weak) role of chaos
Marco Baldovin, Marco Cattaneo, Dario Lucente +2
In their seminal work, Fermi, Pasta, Ulam and Tsingou explored the connection between statistical mechanics and dynamical properties, such as chaos and ergodicity. Even today, seve…
A derivation of the late-time volume law for local operator entanglement
Guilherme Ilário Correr, John Goold, Marco Cattaneo
Local Operator Entanglement (LOE) has emerged an indicator of quantum chaos in many-body systems. Numerical studies have shown that, in chaotic systems, LOE grows linearly in time…
Heat flow through the quantum heat valve coupled to ohmic baths via a master equation approach
Antti Vaaranta, Marco Cattaneo, Paolo Muratore-Ginanneschi +1
We provide a theoretical model for the non-equilibrium steady state heat flow through a quantum heat valve. The model is based on a master equation approach, where the partial secu…
Numerical implementation of the partial secular approximation and unified master equation in structured open quantum systems
Antti Vaaranta, Marco Cattaneo
The Markovian dynamics of open quantum systems is typically described through Lindblad equations, which are derived from the Redfield equation via the full secular approximation. T…
Thermalization is typical in large classical and quantum harmonic systems
Marco Cattaneo, Marco Baldovin, Dario Lucente +2
We establish an analytical criterion for dynamical thermalization within harmonic systems, applicable to both classical and quantum models. Specifically, we prove that thermalizati…
Analytical solution of the open dispersive Jaynes-Cummings model and perturbative analytical solution of the open quantum Rabi model
Antti Vaaranta, Marco Cattaneo, Paolo Muratore-Ginanneschi
The Jaynes-Cummings and quantum Rabi models are fundamental to cavity and circuit quantum electrodynamics, as they describe the simplest form of light-matter interaction, where a s…