Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics

Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics

We propose a non-linear, hybrid quantum-classical scheme for simulating non-equilibrium dynamics of strongly correlated fermions described by the Hubbard model in a Bethe lattice in the thermodynamic limit. Our scheme implements non-equilibrium dynamical mean field theory (DMFT) and uses a digital quantum simulator to solve a quantum impurity problem whose parameters are iterated to self-consis...

Non Equilibrium Dynamics in Strongly Correlated Systems

Classical and Quantum Non- Equilibrium Dynamics

School 3-5.8.2016, Shenkar Building, Melamed Hall (006) Speakers: • Eran Bouchbinder, Weizmann Institute of Science, Israel • Christoph Dellago, University of Vienna, Austria • Yonatan Dubi, Ben-Gurion University, Israel • Yariv Kafri, Technion – Israel Institute of Technology, Israel • Herbert Levine, Rice University, Texas, USA • Dan Major, Bar-Ilan University, Israel • Mark O. Robbins, Johns...

Strongly correlated non-equilibrium steady states with currents — quantum and classical picture

In this minireview we will discuss recent progress in the analytical study of current-carrying nonequilibrium steady states (NESS) that can be constructed in terms of a matrix product ansatz. We will focus on one-dimensional exactly solvable strongly correlated cases, and will study both quantum models, and classical models which are deterministic in the bulk. The only source of classical stoch...

Paradoxical probabilistic behavior for strongly correlated many-body classical systems

Using a simple probabilistic model, we illustrate that a small part of a strongly correlated manybody classical system can show a paradoxical behavior, namely asymptotic stochastic independence. We consider a triangular array such that each row is a list of n strongly correlated random variables. The correlations are preserved even when n → ∞, since the standard central limit theorem does not h...