Anyonic Quantum Matter in Atomic Optical Lattices
Abstract
This ARO research proposal entitled ÒAnyonic Quantum Matter in Atomic Optical LatticesÓ is to develop and theoretically investigate new cold atom platforms and hybdrid light-matter-coupled cavity architectures to host anyons Ð exotic and long-sought-after emergent excitations, which apart from being of great fundamental interest to basic science were also proposed to be the key building blocks in topological quantum memory, quantum computer architectures, and robust quantum interferometry schemes. In such topologically ordered systems, decoherence-free entanglement is guaranteed by the underlying physics at the Òhardware level,Ó with no need for quantum error correction at a Òsoftware level.Ó In other words, long-lived topological quantum memory is intrinsic to such topological system, where quantum information can be manipulated by braiding the quasiparticles Ð anyons. Due to concerted effort of several fields of math and physics, there is now a unified picture and structured classification emerging of such new classes of anyonic matter. However, there is a large gap between the abstract mathematical theories and experiment-oriented fields of physics. The goals of the proposed research are to both advance fundamental understanding of topologically-ordered states and more importantly to bridge the gap between these theories and the fields of atomic and molecular physics and quantum optics, by proposing realizable experimental schemes of novel quantum cavity architectures and topological optical lattices hosting anyons and by devising new methods of probing and manipulating them. This proposed research relies on PI s prior work, including research on synthetic spin-orbit coupling and gauge fields, topological Kondo insulators, and Floquet topological states Ð all fields co-pioneered by the PI, as well as on recent developments on quantum cavity electrodynamics. Specific research projects include using light-matter coupling in cavities to induce or stabilize interesting quantum states, topological bootstrap in optical lattices (where combining two relatively simple non-topological ingredients gives rise to the appearance of topological order), cold-atom realizations of topological Kondo phases, and driven Floquet systems (where degenerate bands, susceptible to topological order, can be dynamically induced).
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 22, 2019
- Source ID
- W911NF1810164
Entities
People
- Victor Galitskiy
Organizations
- Army Contracting Command
- United States Army
- University of Maryland