Advances in the description of out-of-equilibrium quantum systems: from the time-dependent Variational Monte Carlo to the Neural-network Quantum States.

          @misc{ pirsa_PIRSA:16060106,
            doi = {10.48660/16060106},
            url = {https://pirsa.org/16060106},
            author = {Carleo, Giuseppe},
            keywords = {Condensed Matter},
            language = {en},
            title = {Advances in the description of out-of-equilibrium quantum systems: from the time-dependent Variational Monte Carlo to the Neural-network Quantum States.},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {jun},
            note = {PIRSA:16060106 see, \url{https://pirsa.org}}
          }
          

Abstract

Strongly interacting quantum systems driven out of equilibrium represent a fascinating field where several questions of fundamental importance remains to be addressed [1].

These range from the dynamics of high-dimensional interacting models to the thermalization properties of quantum gases in continuous space.

In this Seminar I will review our recent contributions to some of the dynamical quantum problems which have been traditionally inaccessible to accurate many-body techniques.

 

I will first focus on the main methodological developments we devised in the past years.

In particular, I will describe the time-dependent Variational Monte Carlo method [2,3] and two notable classes of variational quantum states : the time-dependent Jastrow-Feenberg expansion, and the most recently introduced Neural-network Quantum States [4]. These states can achieve high (and controllable) accuracy both in one and higher dimensions.

Then, I will discuss specific applications to the problem of information spreading in both short- and long-ranged interacting quantum systems [3,5]. Finally, I will also discuss recent applications to thermalization properties of Lieb-Liniger quantum gases [6].