Publications Robert OTT

2024

Preprints

• R. Ott, T. Zache, N. Maskara, M. Lukin, P. Zoller, H. Pichler Probing topological entanglement on large scales, (2024-08-22), arXiv:2408.12645 arXiv:2408.12645 (ID: 721272) Toggle Abstract
  Topologically ordered quantum matter exhibits intriguing long-range patterns of entanglement, which reveal themselves in subsystem entropies. However, measuring such entropies, which can be used to certify topological order, on large partitions is challenging and becomes practically unfeasible for large systems. We propose a protocol based on local adiabatic deformations of the Hamiltonian which extracts the universal features of long-range topological entanglement from measurements on small subsystems of finite size, trading an exponential number of measurements against a polynomial-time evolution. Our protocol is general and readily applicable to various quantum simulation architectures. We apply our method to various string-net models representing both abelian and non-abelian topologically ordered phases, and illustrate its application to neutral atom tweezer arrays with numerical simulations.
• R. Ott, T. Zache, M. Prüfer, S. Erne, M. Tajik, H. Pichler, J. Schmiedmayer, P. Zoller Hamiltonian Learning in Quantum Field Theories, (2024-01-02), arXiv:2401.01308 arXiv:2401.01308 (ID: 721175) Toggle Abstract
  We discuss Hamiltonian learning in quantum field theories as a protocol for systematically extracting the operator content and coupling constants of effective field theory Hamiltonians from experimental data. Learning the Hamiltonian for varying spatial measurement resolutions gives access to field theories at different energy scales, and allows to learn a flow of Hamiltonians reminiscent of the renormalization group. Our method, which we demonstrate in both theoretical studies and available data from a quantum gas experiment, promises new ways of addressing the emergence of quantum field theories in quantum simulation experiments.

2021

Article

• R. Ott, T. Zache, F. Jendrzejewski , J. Berges Scalable Cold-Atom Quantum Simulator for Two-Dimensional QED, Phys. Rev. Lett. 127 (2021-09-24), http://dx.doi.org/10.1103/PhysRevLett.127.130504 doi:10.1103/PhysRevLett.127.130504 (ID: 720773) Toggle Abstract
  We propose a scalable analog quantum simulator for quantum electrodynamics in two spatial dimensions. The setup for the U(1) lattice gauge field theory employs interspecies spin-changing collisions in an ultracold atomic mixture trapped in an optical lattice. We engineer spatial plaquette terms for magnetic fields, thus solving a major obstacle toward experimental realizations of realistic gauge theories in higher dimensions. We apply our approach to the pure gauge theory of compact QED and discuss how the phenomenon of confinement of electric charges can be described by the quantum simulator.

Preprints

• N. Mueller, T. Zache, R. Ott Quantum thermalization of gauge theories: chaos, turbulence and universality, (2021-11-01), arXiv:2111.01155 arXiv:2111.01155 (ID: 720769) Toggle Abstract
  In this talk, we discuss real-time thermalization dynamics of Z2 Lattice Gauge Theory in 2+1 spacetime dimensions. While classical thermalization is commonly associated with chaotic behavior, turbulence and universality, the manifestation of these phenomena in quantum mechanical systems is not clear. However, when viewed through the lens of Entanglement Structure, we find that quantum thermalization proceeds in characteristic stages and reveals phenomena remarkably similar to their classical counterparts: chaos, turbulence and universality.
• N. Mueller, T. Zache, R. Ott Thermalization of Gauge Theories from their Entanglement Spectrum, (2021-07-23), arXiv:2107.11416 arXiv:2107.11416 (ID: 720771) Toggle Abstract
  Using dual theories embedded into a larger unphysical Hilbert space along entanglement cuts, we study the Entanglement Structure of Z2 lattice gauge theory in (2+1) spacetime dimensions. We find that Li and Haldane's conjecture holds for gauge theories, and show consistency of the Entanglement Hamiltonian with the Bisognano-Wichmann theorem. Studying non-equilibrium dynamics after a quench, we provide a complete description of thermalization in Z2 gauge theory which proceeds in a characteristic sequence: Maximization of the Schmidt rank and spreading of level repulsion at early times, self-similar evolution with scaling coefficients α=0.8±0.1 and β=0.05±0.03 at intermediate times, and finally thermal saturation of the von Neumann entropy.