T8 Non-local Order Parameters


Rates

Registration Fee per Tutorial:

  • Meeting Attendee (Virtual or In-Person): $140
  • Students: $75
  • Non-meeting Attendee: $150

Who Should Attend?

Graduate students, post-docs, and other scientists interested in learning about insights into the hidden order within quantum materials and the new experimental methods for revealing such order. The tutorial talks will be very pedagogical, describing the theoretical foundations of the field, applications of the idea of non-local order parameters to condensed matter, atomic quantum matter, and quantum information science, and modern microscopy and data science methods to visualize and characterize quantum materials. Latest developments and open questions will also be prominently featured.

Tutorial Description

Recent developments, especially in ultracold matter, are allowing experiments to probe not only the two-point correlation functions traditionally used to characterize phases of matter and other physical phenomena, but also nonlocal correlations. These nonlocal correlations may involve a large number of particles, even a number spanning the entire system, and reveal new physics. One example is the string order parameters of topological and symmetry-protected-topological phases that have recently been probed in cold atoms experiments. Another emerging example is the application of machine learning techniques to snapshots of data from experiments. This tutorial will discuss the experimental techniques that allow measurement of nonlocal correlations, the theoretical foundation of some nonlocal orders, and progress in experiments measuring nonlocal correlations.

Topics

  • New measures needed to characterize quantum materials: Development of the idea of non-local order inspired by thinking about high temperature superconductors, applications to paradigmatic models of quantum phases of matter.
  • Synthetic quantum matter: Introduction to the methods used to synthesize quantum matter using ultracold atoms, structured light-induced potentials, control over atomic interactions, activation of strong interactions via transient excitation to highly excited atomic (Rydberg) states, and also methods for probing such matter with single-atom resolution.
  • Data analysis methods to reveal non-local order: Translation of ideas from abstract theory to real experimental implementation: What should one measure? How should a system be manipulated prior to measurement? How should the measured data be processed to reveal the hidden quantum truths?

Organizer

  • Dan M. Stamper-Kurn, Department of Physics and Challenge Institute for Quantum Computation, University of California, Berkeley, and Materials Science Division, Lawrence Berkeley National Laboratory

Instructors

  • Ashvin Vishwanath, Harvard University
  • Giulia Semeghini, Harvard University
  • Christian Gross, University of Tubingen
  • Fabian Grusdt, Ludwig Maximilian University of Munich