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Introduction
Recently completed PhD in Mathematics & Physics (July 2024). My research was supervised by Sergey Dolgov and Stephen Clark. I also collaborated with Dieter Jaksch's Quantum Systems Engineering group at the University of Oxford. My thesis focuses on parallel Matrix Product State (MPS) algorithms and their application to strongly-correlated quantum lattice systems, which arise in condensed matter physics.
Additional affiliations
October 2016 - December 2024
Education
October 2016 - July 2024
September 2012 - July 2016
September 2011 - July 2012
Publications
Publications (6)
In [Nat. Phys. 8, 325-330 (2012)], Trotzky et al. utilize ultracold atoms in an optical lattice to simulate the local relaxation dynamics of a strongly interacting Bose gas "for longer times than present classical algorithms can keep track of". Here, I classically verify the results of this analog quantum simulator by calculating the evolution of t...
Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group (DMRG), we present the first parallel matrix product state (MPS) algorithm capable of time evolving one-dimensional (1D) quantum lattice systems with long-range interact...
In a recent Letter [Dabelow and Reimann, Phys. Rev. Lett. 124, 120602 (2020)], a perturbative relaxation theory is applied to the Bose-Hubbard model and compared to data from a quantum simulator experiment [Trotzky et al. Nature Phys 8, 325 (2012)]. In this Comment, I argue that the discrepancy found is due to the quasi-local observable measured in...
Combining the time-dependent variational principle (TDVP) algorithm with the parallelization scheme introduced by Stoudenmire and White for the density matrix renormalization group (DMRG), we present the first parallel matrix product state (MPS) algorithm capable of time evolving one-dimensional (1D) quantum lattice systems with long-range interact...
This report contains the results of our 1st year undergraduate project at Imperial College London on the use of genetic algorithms to recover chaotic systems. The project was proposed and supervised by Jonathan Leeuwenburgh. Both authors contributed equally to the work.
