Quantum fluctuation dynamics of open quantum systems with collective operator-valued rates, and applications to Hopfield-like networks

Neural networks for/in biological studies, artificial life and related topics (92B20) Many-body theory; quantum Hall effect (81V70) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Open systems, reduced dynamics, master equations, decoherence (81S22)

Cites Work

Unnamed Item
Unnamed Item
Non-Markovian mesoscopic dissipative dynamics of open quantum spin chains
Many-body boson systems. Half a century later
A simple derivation of mean field limits for quantum systems
Some rigorous results on the Hopfield neural network model
Non-commutative central limits
Dynamics of fluctuations for quantum lattice systems
Nonlinear quantum dynamical semigroups for many-body open systems
On the generators of quantum dynamical semigroups
Thermodynamic limit of the \(q\)-state Potts-Hopfield model with infinitely many patterns
Note on the derivatives with respect to a parameter of the solutions of a system of differential equations.
Central limit theorems for the large-spin asymptotics of quantum spins
An introduction to Monte Carlo methods
Large deviations at level 2.5 for Markovian open quantum systems: quantum jumps and quantum state diffusion
Aspects of non-equilibrium in classical and quantum systems: slow relaxation and glasses, dynamical large deviations, quantum non-ergodicity, and open quantum dynamics
Symmetry breaking
Kinetically constrained spin models
Dissipative dynamics of quantum fluctuations
Mean field dynamics of some open quantum systems
Quantum fluctuations in mesoscopic systems
Open quantum generalisation of Hopfield neural networks
Quantum spin chain dissipative mean-field dynamics
Completely positive dynamical semigroups of N-level systems
Mean field dynamics of interacting fermionic systems
Neural networks and physical systems with emergent collective computational abilities.
Time-Dependent Statistics of the Ising Model
Observables at infinity and states with short range correlations in statistical mechanics
Mean-field dynamics of open quantum systems with collective operator-valued rates: validity and application

This page was built for publication: Quantum fluctuation dynamics of open quantum systems with collective operator-valued rates, and applications to Hopfield-like networks