3 citations · 4 across the 6 of their papers we have counts for
12 papers
Perturbative criteria for the ergodicity of interacting dissipative quantum lattice systems
Lorenzo Bertini, Alberto De Sole, Gustavo Posta +1
We introduce a class of quantum Markov semigroups describing the evolution of interacting quantum lattice systems, specified either as generic qudits or as fermions. The correspond…
Poisson vertex algebras and Hamiltonian PDE
Alberto De Sole, Victor G. Kac, Daniele Valeri
We discuss the theory of Poisson vertex algebras and their generalizations in relation to integrability of Hamiltonian PDE. In particular, we discuss the theory of affine classical…
Adler-Oevel-Ragnisco type operators and Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
The theory of triples of Poisson brackets and related integrable systems, based on a classical R-matrix R in End_F(g), where g is a finite dimensional associative algebra over a fi…
Trace distance ergodicity for quantum Markov semigroups
Lorenzo Bertini, Alberto De Sole, Gustavo Posta
We discuss the quantitative ergodicity of quantum Markov semigroups in terms of the trace distance from the stationary state, providing a general criterion based on the spectral de…
On Lax operators
Alberto De Sole, Victor G. Kac, Daniele Valeri
We define a Lax operator as a monic pseudodifferential operator of order , such that the Lax equations $\dfrac{\partial L(\partial)}{\partial t_k}=[(L^{\frac…
Classical and variational Poisson cohomology
Bojko Bakalov, Alberto De Sole, Reimundo Heluani +2
We prove that, for a Poisson vertex algebra V, the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that…