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

### APA

Carleo, G. (2016). Advances in the description of out-of-equilibrium quantum systems: from the time-dependent Variational Monte Carlo to the Neural-network Quantum States.. Perimeter Institute. https://pirsa.org/16060106

### MLA

Carleo, Giuseppe. Advances in the description of out-of-equilibrium quantum systems: from the time-dependent Variational Monte Carlo to the Neural-network Quantum States.. Perimeter Institute, Jun. 21, 2016, https://pirsa.org/16060106

### BibTex

@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}} }

Giuseppe Carleo ETH Zurich

## 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].