Ashley Milsted

Ashley Milsted's picture
Senior Postdoctoral Researcher

Areas of Research:

Research Interests

I am interested in how tensor networks capture aspects (e.g. symmetries) of continuum physics in lattice models considered as regularizations of quantum field theories. I have worked on Matrix Product State simulations of field theories, and have more recently investigated the emergence of conformal symmetry in critical spin chains. Understanding the latter can reveal connections between entanglement and geometry which may be relevant to the AdS/CFT correspondance.

Recent Publications

  • Ashley Milsted and Tobias J. Osborne, Quantum Yang-Mills theory: an overview of a programme, Phys. Rev. D 98, 014505,
  • Ashley Milsted and Guifre Vidal, Extraction of conformal data in critical quantum spin chains using the Koo-Saleur formula, Phys. Rev. B 96, 245105, arXiv: 1706.01436
  • Ashley Milsted, Matrix product states and the non-Abelian rotor model, Phys. Rev. D 93, 085012, arXiv: 1507.06624
  • Tensor networks as path integral geometry, Ashley Milsted and Guifre Vidal, arXiv: 1807.02501
  • Tensor networks as conformal transformations, Ashley Milsted and Guifre Vidal, arXiv: 1805.12524
  • Conformal data and renormalization group flow in critical quantum spin chains using periodic uniform matrix product states, Yijian Zou, Ashley Milsted, Guifre Vidal, arXiv: 1710.05397

Seminars

  • "Tensor Networks as Conformal Transformations", AEI Potsdam
  • "Conformal transformations, lattice systems and tensor networks", Oxford University
  • "Extraction of Conformal Data in Critical Spin Chains Using the Koo-Saleur Formula and Periodic Uniform Matrix Product States", APS March Meeting 2018
  • "Tensor Networks and Conformal Data: Koo-Saleur formula and periodic MPS", USC Los Angeles
  • "Tensor Networks and Conformal Data: Koo-Saleur formula and periodic MPS", Caltech
  • "Koo-Saleur formula, periodic MPS and an RG flow", Microsoft Station Q, Santa Barbara
  • PIRSA:17040033, Emergence of conformal symmetry in critical spin chains, 2017-04-18, Tensor Networks for Quantum Field Theories II
  • PIRSA:14110178, Tensor Networks for nonabelian Gauge Theory, 2014-11-25, Condensed Matter