235 citations · 294 across the 21 of their papers we have counts for
22 papers
Underdamped Stochastic Optimal Transport with Landauer boundary conditions: machine learning and analytical solution
Julia Sanders, Dario Lucente, Marco Baldovin +1
Finding optimal transport protocols for underdamped stochastic processes is a difficult yet important problem in control theory. In this paper we develop a direct method, based on…
Decay of the survival probability of a local excitation in multi-qubit platforms
Paolo Muratore-Ginanneschi, Bayan Karimi, Jukka Pekola
We present a theoretical study of the survival probability of a state initially prepared in the one-particle sector of a multi-qubit system. The motivation for our work is the ongo…
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…
What is a minimum work transition in stochastic thermodynamics?
Paolo Muratore-Ginanneschi, Julia Sanders
We reassess the concept of transition at minimum work in classical stochastic finite-time thermodynamics, when the system dynamics is modelled by a diffusion process. We show that…
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…
Optimal Control of Engineered Swift Equilibration of Nanomechanical Oscillators
Julia Sanders, Paolo Muratore-Ginanneschi
We propose a reformulation of the problem of optimally controlled transitions in stochastic thermodynamics. We impose that any terminal cost specified by a thermodynamic functional…
Universal bound on the Lyapunov spectrum of quantum master equations
Paolo Muratore-Ginanneschi, Gen Kimura, Frederik vom Ende +1
The spectral properties of positive maps are pivotal for understanding the dynamics of quantum systems interacting with their environment. Furthermore, central problems in quantum…
Quantum and classical Shapiro steps in small Josephson junctions
Miriam Resch, Joachim Ankerhold, Brecht I. C. Donvil +2
We propose a model describing the formation of both dual (quantum) and classical Shapiro steps in small Josephson junctions. According to this model, the dual Shapiro steps are for…
Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chruściński, Gen Kimura +1
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…
A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
Dariusz Chruściński, Frederik vom Ende, Gen Kimura +1
Relaxation rates are key characteristics of quantum processes, as they determine how quickly a quantum system thermalizes, equilibrates, decoheres, and dissipates. While they play…
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…
On the numerical integration of the Fokker-Planck equation driven by a mechanical force and the Bismut-Elworthy-Li formula
Julia Sanders, Paolo Muratore-Ginanneschi
Optimal control theory aims to find an optimal protocol to steer a system between assigned boundary conditions while minimizing a given cost functional in finite time. Equations ar…
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…
Universal bound on the relaxation rates for quantum Markovian dynamics
Paolo Muratore-Ginanneschi, Gen Kimura, Dariusz Chruściński
Relaxation rates provide important characteristics both for classical and quantum processes. Essentially they control how fast the system thermalizes, equilibrates, {decoheres, and…
Minimal work protocols for inertial particles in non-harmonic traps
Julia Sanders, Marco Baldovin, Paolo Muratore-Ginanneschi
Progress in miniaturized technology allows us to control physical systems at nanoscale with remarkable precision. Experimental advancements have sparked interest in control problem…
Optimal Control of Underdamped Systems: An Analytic Approach
Julia Sanders, Marco Baldovin, Paolo Muratore-Ginanneschi
Optimal control theory deals with finding protocols to steer a system between assigned initial and final states, such that a trajectory-dependent cost function is minimized. The ap…
On the unraveling of open quantum dynamics
Brecht I. C Donvil, Paolo Muratore-Ginanneschi
It is well known that the state operator of an open quantum system can be generically represented as the solution of a time-local equation -- a quantum master equation. Unraveling…
Quantum Trajectory Approach to Error Mitigation
Brecht. I. C Donvil, Rochus Lechler, Joachim Ankerhold +1
Quantum Error Mitigation (EM) is a collection of strategies to reduce errors on noisy intermediate scale quantum (NISQ) devices on which proper quantum error correction is not feas…
Classical uncertainty relations and entropy production in non-equilibrium statistical mechanics
Paolo Muratore-Ginanneschi, Luca Peliti
We analyze Fürth's 1933 classical uncertainty relations in the modern language of stochastic differential equations. Our interest is motivated by applications to non-equilibrium cl…
On the efficiency of heat engines at the micro-scale and below
Paolo Muratore-Ginanneschi, Kay Schwieger
We investigate the thermodynamic efficiency of sub-micro-scale heat engines operating under the conditions described by over-damped stochastic thermodynamics. We prove that at maxi…
Optimal protocols and optimal transport in stochastic thermodynamics
Erik Aurell, Carlos Mejia-Monasterio, Paolo Muratore-Ginanneschi
Thermodynamics of small systems has become an important field of statistical physics. They are driven out of equilibrium by a control, and the question is naturally posed how such…
Shell Model for Time-correlated Random Advection of Passive Scalars
K. H. Andersen, P. Muratore-Ginanneschi
We study a minimal shell model for the advection of a passive scalar by a Gaussian time correlated velocity field. The anomalous scaling properties of the white noise limit are stu…