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Construction of Many-Body-Localized Models where all the eigenstates are Matrix-Product-States
Cecile Monthus
The inverse problem of 'eigenstates-to-Hamiltonian' is considered for an open chain of quantum spins in the context of Many-Body-Localization. We first construct the simplest b…
Explicit properties of the simplest inhomogeneous Matrix-Product-State including the Riemann metric of the MPS manifold
Cecile Monthus
We consider the simplest inhomogeneous Matrix-Product-State for an open chain of N quantum spins that involves only two angles per site and two angles per bond with the following d…
Statistical physics of long dynamical trajectories for a system in contact with several thermal reservoirs
Cecile Monthus
For a system in contact with several reservoirs at different inverse-temperatures , we describe how the Markov jump dynamics with the generalized detailed balance conditio…
Real-Space Renormalization for disordered systems at the level of Large Deviations
Cecile Monthus
The real-space renormalization procedures on hierarchical lattices have been much studied for many disordered systems in the past at the level of their typical fluctuations. In the…
Asymmetric scaling in large deviations for rare values bigger or smaller than the typical value
Cecile Monthus
In various disordered systems or non-equilibrium dynamical models, the large deviations of some observables have been found to display different scalings for rare values bigger or…
Revisiting classical and quantum disordered systems from the unifying perspective of large deviations
Cecile Monthus
The theory of large deviations is already the natural language for the statistical physics of equilibrium and non-equilibrium. In the field of disordered systems, the analysis via…