10 papers · 1 filter
Quantum particle in the wrong box (or: the perils of finite-dimensional approximations)
Felix Fischer, Daniel Burgarth, Davide Lonigro
When numerically simulating the unitary time evolution of an infinite-dimensional quantum system, one is usually led to treat the Hamiltonian as an "infinite-dimensional matrix…
Finite-dimensional approximations of generalized squeezing
Sahel Ashhab, Felix Fischer, Davide Lonigro +2
We show unexpected behaviour in simulations of generalized squeezing performed with finite-dimensional truncations of the Fock space: even for extremely large dimension of the stat…
Error bounds for the Floquet-Magnus expansion and their application to the semiclassical quantum Rabi model
Anirban Dey, Davide Lonigro, Kazuya Yuasa +1
We present a general, nonperturbative method for deriving effective Hamiltonians of arbitrary order for periodically driven systems, based on an iterated integration by parts techn…
Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
Alexander Hahn, Daniel Burgarth, Davide Lonigro
Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. I…
Quantifying the rotating-wave approximation of the Dicke model
Leonhard Richter, Daniel Burgarth, Davide Lonigro
We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation (RWA) for the multi-atom generalization of the quantum Rabi model: the…
Phenomenological quantum mechanics: II. Deducing the formalism from experimental observations
Piotr Szańkowski, Piotr SzaÅkowski, Davide Lonigro +5
We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are the multi-time prob…