Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Bernardin, Cedric"'
We consider the dynamics of a continuously monitored qubit in the limit of strong measurement rate where the quantum trajectory is described by a stochastic master equation with Poisson noise. Such limits are expected to give rise to quantum jumps be
Externí odkaz:
http://arxiv.org/abs/2411.11760
Autor:
Bernardin, Cédric, Chetrite, Raphaël
Focusing on a famous class of interacting diffusion processes called Ginzburg-Landau (GL) dynamics, we extend the Macroscopic Fluctuations Theory (MFT) to these systems in the case where the interactions are long-range, and consequently, the macrosco
Externí odkaz:
http://arxiv.org/abs/2405.08212
We study the celebrated Shiryaev-Wonham filter (1964) in its historical setup where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise reg
Externí odkaz:
http://arxiv.org/abs/2211.02032
We consider the zero-range process with long jumps and in contact with infinitely many reservoirs in its non-equilibrium stationary state. We derive the hydrostatic limit and the Fick's law, which are a consequence of a relationship between the exclu
Externí odkaz:
http://arxiv.org/abs/2201.07573
We consider a harmonic chain of $N$ oscillators in presence of a disordered magnetic field. The ends of the chain are connected to heat baths and we study the effects of the magnetic field randomness on the heat transport. The disorder, in general, c
Externí odkaz:
http://arxiv.org/abs/2107.06827
We consider heat transport across a harmonic chain of charged particles, with transverse degrees of freedom, in the presence of a uniform magnetic field. For an open chain connected to heat baths at the two ends we obtain the nonequilibrium Green's f
Externí odkaz:
http://arxiv.org/abs/2106.12069
Autor:
Benoist, Tristan, Bernardin, Cédric, Chetrite, Raphaël, Chhaibi, Reda, Najnudel, Joseph, Pellegrini, Clément
Publikováno v:
Commun. Math. Phys. 387, 1821-1867 (2021)
In the strong noise regime, we study the homogeneization of quantum trajectories i.e. stochastic processes appearing in the context of quantum measurement. When the generator of the average semi-group can be separated into three distinct time scales,
Externí odkaz:
http://arxiv.org/abs/2103.01916
Publikováno v:
Phys. Rev. A 103, 032221 (2021)
The problem of the time of arrival of a quantum system in a specified state is considered in the framework of the repeated measurement protocol and in particular the limit of continuous measurements is discussed. It is shown that for a particular cho
Externí odkaz:
http://arxiv.org/abs/2012.01196
We study the hydrodynamic limit for a model of symmetric exclusion processes with heavy-tailed long jumps and in contact with infinitely extended reservoirs. We show how the corresponding hydrodynamic equations are affected by the parameters defining
Externí odkaz:
http://arxiv.org/abs/2007.01621
We provide a complete description of the equilibrium fluctuations for diffusive symmetric exclusion processes with long jumps in contact with infinitely extended reservoirs and prove that they behave as generalized Ornstein-Uhlenbeck processes with v
Externí odkaz:
http://arxiv.org/abs/2002.12841