News

SEPTEMBER 2024


I am excited to start delivering our new graduate course, “ME 2038/MSE 2049 – Tensor Networks: Computational Methods for Material Sciences, Engineering and Beyond”. In this course, I will present the basics of tensor network theory, the representation of many-body quantum states and general high-order tensors as matrix product states, algorithms for optimization (DMRG) and time evolution (TEBD, TDVP), more advanced tensor networks (Trees, MERA, PEPS), and applications to different fields. Students from different backgrounds, including engineering, physics, chemistry, and computer science, are welcome!

Illustration of the basics of tensor network theory

 

AUGUST 2024


A new PhD student, Felipe Gómez Lozada, is joining our team. Felipe is a physicist from Colombia. He did his undergraduate studies at Universidad Nacional de Colombia. He has expertise on tensor network methods for simulating systems of interacting bosons, in particular superfluid and insulating states. Welcome, Felipe!

Felipe Gómez Lozada

JULY 2024


Check out our recent preprint on how dephasing can enhance spin transport in nonequilibrium tilted lattices. This work is the result of a very nice collaboration with Samuel Jacob, Laetitia Bettmann Artur Lacerda and John Goold from Trinity College Dublin; Krissia Zawadzki from Instituto de Física de São Carlos, and Stephen Clark from the University of Bristol.

A schematic diagram of the system under study. The lattice is modeled as an XX spin chain, characterised by a hopping amplitude J and on-site field linearly decaying in steps of U across the chain. The boundary sites are coupled to separate reservoirs that inject/eject spin excitations controlled by a bias f , while in the bulk each spin is coupled to its own local reservoir which induces dephasing.

Check out our recent preprint in which we discuss the insulating and superfluid phases of a mixture of SU(3) fermions and scalar bosons. This work has been done in collaboration with Jereson Silva-Valencia, our visitor from Universidad Nacional de Colombia.

Bosonic chemical potential µB as a function of the boson-fermion interaction UBF for a balanced mixture of scalar bosons and three-flavor fermions (N = 3), forming the phase diagram of the system.

It was great to organize with Peyman Givi the minisymposium "Quantum Computing for Transport Phenomena", which took place in Spokane (WA, United States) from July 8 to July 12 during the 2024 SIAM Annual Meeting (AN24). There, I presented the talk "Quantum-Inspired Simulations of Turbulent Combustion".

Dr. Mendoza Arenas at the conference standing in front of a poster

JUNE 2024


It has been a pleasure to participate as an invited speaker in the minisymposyum "Coarse Graining Turbulence: Modeling and Data-Driven Approaches and Their Applications I", in honor of Prof. Cesar Dopazzo, at the 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS). There, I presented the talk "Matrix Product State Simulation of Reactive Flows".

Matrix Product State Simulation of Reactive Flows

APRIL 2024


Our PhD student Hirad Alipanah has been awarded one of the "PQI 2024 Best Poster Awards". Many congratulations, Hirad!

Hirad head shot
PQI Poster

 

MARCH 2024


Our article with Stephen Clark, titled "Giant Rectification in Strongly Interacting Driven Tilted Systems", has been published in Physical Review X Quantum!

Giant Rectification in Strongly Interacting Driven Tilted Systems