6 papers
Wandering range of robust quantum symmetries
Daniel Burgarth, Paolo Facchi, Marilena Ligabò +2
This paper introduces the concept of the wandering range of a robust symmetry of a Hamiltonian . This quantity measures how the perturbed time evolution $\mathrm{e}^{\mathrm…
Rotating-Wave and Secular Approximations for Open Quantum Systems
Daniel Burgarth, Paolo Facchi, Giovanni Gramegna +1
We derive a nonperturbative bound on the distance between evolutions of open quantum systems described by time-dependent generators. We show how this result can be employed to prov…
The quantum harmonic oscillator on a circle -- fragmentation of the algebraic method
Daniel Burgarth, Paolo Facchi
A quantum particle on a circle in a quadratic potential exhibits a spectrum that is not harmonic, despite having all algebraic properties of the quantum harmonic oscillator. This r…
Attractor Subspace and Decoherence-Free Algebra of Quantum Dynamics
Daniele Amato, Paolo Facchi, Arturo Konderak
In this review we discuss some results on the asymptotic dynamics of finite-dimensional open quantum systems in the Heisenberg picture. Both the spectral and algebraic approaches t…
Asymptotic dynamics in the Heisenberg picture: attractor subspace and Choi-Effros product
Daniele Amato, Paolo Facchi, Arturo Konderak
We study the asymptotic dynamics of open quantum systems in the Heisenberg picture. We find an explicit expression for the attractor subspace and the dynamics that takes place in i…
Bridging Classical and Quantum Worlds: Maps, States, and Evolutions
D. Amato, P. Facchi, G. Marmo
In this work, we present several aspects of the interplay between classical and quantum theories. After reviewing the equivalence between positivity and complete positivity in the…