4 papers
(Quantum) Fractional Brownian Motion and Multifractal Processes under the Loop of a Tensor Networks
Benoît Descamps
We derive fractional Brownian motion and stochastic processes with multifractal properties using a framework of network of Gaussian conditional probabilities. This leads to the der…
Signatures of Lattice Excitations in Quantum Channels: Limit of Parent Hamiltonians
Benoît Descamps
We prove that every injective Matrix Product State is the unique ground state of a simple hopping theory. We start by studying the low energy spectrum of parent Hamiltonians of inj…
Revisiting Many-body Localization with Random Networks of Tensors
Benoît Descamps, Frank Verstraete
We argue first that translational invariant Matrix Product can be interpreted as a stationary sea of particles. Next, rather than starting from some local Hamiltonian with random p…
Classical Non-equilibrium Phases from a Quantum Perspective: Quasi-adiabatic evolution and Local Ansatz for Solving The Equilibrium State of Local Stochastic Dynamics
Benoît Descamps, Frank Verstraete
Starting from a simple mapping of a generator of local stochastic dynamics to a quantum Hamiltonian, we derive a condition, which allows us to use the quasi-adiabatic evolution and…