30 citations · 66 across the 10 of their papers we have counts for
10 papers
Unifying Kibble-Zurek Mechanism in Weakly Driven Processes
Pierre Nazé
A description of the Kibble-Zurek mechanism with linear response theory has been done previously, but ad hoc hypotheses were used, like the use of the rate-dependent impulse window…
Thermodynamic optimization equalities in weakly driven processes
Pierre Nazé
Equalities are generally more suitable for experimental verification than inequalities. In this work, I derive valid equalities from the Euler-Lagrange equation for the optimizatio…
Quantum Ising chain with time-averaged work in linear response theory
Pierre Nazé
For systems performing a weakly isothermal process, the decorrelation time dictates how fast the relaxation function decorrelates. However, like many other thermally isolated syste…
Global optimization and monotonicity in entropy production of weak drivings
Pierre Nazé
Knowing if an optimal solution is local or global has always been a hard question to answer in more sophisticated situations of optimization problems. In this work, for finite-time…
Assessing the performance of quantum annealing with nonlinear driving
Artur Soriani, Pierre Nazé, Marcus V. S. Bonança +2
Current generation quantum annealers have already proven to be successful problem-solvers. Yet, quantum annealing is still very much in its infancy, with suboptimal applicability.…
The three phases of quantum annealing: fast, slow, and very slow
Artur Soriani, Pierre Nazé, Marcus V. S. Bonança +2
Currently, existing quantum annealers have proven themselves as viable technology for the first practical applications in the noisy-intermediate-scale-quantum era. However, to full…
Series expansion of the excess work using nonlinear response theory
Pierre Nazé, Marcus V. S. Bonança
The calculation of observable averages in non-equilibrium regimes is one of the most important problems in statistical physics. Using the Hamiltonian approach of nonlinear response…
Compatibility of linear-response theory with the Second Law of Thermodynamics and the emergence of negative entropy production rates
Pierre Nazé, Marcus V. S. Bonança
The reliability of physical theories depends on whether they agree with well established physical laws. In this work, we address the compatibility of the Hamiltonian formulation of…
From Weakly Chaotic Dynamics to Deterministic Subdiffusion via Copula Modeling
Pierre Nazé
Copula modeling consists in finding a probabilistic distribution, called copula, whereby its coupling with the marginal distributions of a set of random variables produces their jo…
Number of first-passage times as a measurement of information for weakly chaotic systems
Pierre Nazé, Roberto Venegeroles
We consider a general class of maps of the interval having Lyapunov subexponential instability , where grows sublinearly as $t\ri…