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Our paper, "Ground state of a mixture of SU(3) fermions and scalar bosons", has been published in Physical Review A. Here, we explore a system composed of scalar bosons and SU(3) fermions in one dimension, described by the Bose-Fermi-Hubbard Hamiltonian. We identify novel gapped states, in which bosons couple with some or all flavors of fermions. We also unveil different flavor-selective states characterized by itinerant fermions that coexist with an insulator state in which the bosons connect with only one- or two-flavor fermions. This work was performed in collaboration with Prof. Jereson Silva Valencia, during his position in Pitt as a visiting professor.

I'm very happy to welcome Tessa Wood and Henry Margasak to our team. Tessa and Henry are undergraduate Pitt students, who will participate the Facilitating Inclusive Research Experiences (FIRE) program of the MEMS department. Tessa will perform research on quantum computing simulations of open quantum systems. Henry will simulate correlated quantum systems embedded in cavities using tensor networks.

It has been a great pleasure to deliver the "Tutorial on Tensor Network Theory" with Michael Lubasch (Quantinuum), and with support of the Pittsburgh Quantum Institute. It has Las been very exciting to contribute to the "Workshop on Rivals to Quantum Computing" with the talk "Quantum-inspired simulations of fluid dynamics". Here, I discussed our recent results on using matrix product states to simulate 2D compressible reacting flows, and superfluid turbulence.

Our paper, "Quantum Dynamics Simulation of the Advection-Diffusion Equation," is now available as a preprint in arXiv. In this work, we've explored how quantum algorithms—Trotterization, Variational Quantum Time Evolution (VarQTE), and Adaptive Variational Quantum Dynamics Simulation (AVQDS)—can simulate the advection-diffusion equation, a foundational PDE in transport phenomena such as fluid mechanics and heat transfer.

Our findings illustrate how quantum computing can revolutionize simulations of complex transport phenomena and pave the way for future quantum advantages in computational engineering.

This is the first paper of our PhD student, Hirad Alipanah. Thanks a lot to our collaborators Feng Zhang, Yongxin Yao, Richard Thompson, Nam Nguyen, Junyu Liu, Peyman Givi, and Brian McDermott.

It has been very exciting to present our research at the APS Division of Fluid Dynamics (DFD) 2024 Annual Meeting in Salt Lake City. Hirad Alipanah presented the talk "Quantum Time Evolution for Solving the Advection Diffusion Equation". Juan José Mendoza Arenas presented the talk "Quantum Inspired Simulations for Reacting Flows".

It has been a pleasure to have Dr. Michael Zwolak visiting our department. Michael is the Group Leader of Biophysics & Biomedical Measurement at NIST. He delivered an exciting seminar on tensor network simulations for many-body quantum transport. Looking forward to having Michael visit again!

Our article on how dephasing can enhance spin transport in nonequilibrium tilted lattices has just beed published in Frontiers in Physics. 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.

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!

Two new PhD students, Felipe Gómez Lozada and Daniel Madrid, are 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. Daniel works full-time as an R&D engineer at the Naval Nuclear Laboratory (NNL) where he focuses on emerging and enabling technologies in nuclear propulsion. He received his bachelor’s and master’s degree in mechanical engineering from The University of Arizona and Arizona State University, respectively. His research topic is quantum computational fluid dynamics. Welcome, Felipe and Daniel!

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.

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.

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".

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".

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

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