Programmable Optical Lattice for Fermi-Hubbard Quantum Simulations
Abstract
Ultracold quantum gases in optical lattices are entering a new era, enabling quantum simulations of highly relevant condensed matter models in regimes that are extremely difficult or impossible to simulate on classical computers. Recently, experiments achieved the long-standing goal of a Fermi-Hubbard antiferromagnet, started to microscopically probe a doped antiferromagnet, and probed spin transport as well as strange metal physics. The Fermi-Hubbard model describes strongly correlated electron systems and is believed to be a minimal model for high temperature d-wave superconductivity, pseudo-gap physics and strange metal behavior. While conceptually simple, the Hubbard model is believed to be numerically intractable in those regimes. The experiment can be regarded as a Òspecial purpose analog quantum computerÓ since it is the massive quantum entanglement that makes it outperform classical computational systems for this simulation task. The recent breakthroughs were enabled by quantum gas microscopy, providing ultimate control of the many-body quantum system on a single particle level. In this proposal we address two important outstanding challenges in Fermi Hubbard quantum simulation: Further lowering entropies, and implementing simultaneous spin- and charge resolved readout. In our recent realization of a Fermi-Hubbard antiferromagnet we demonstrated entropy engineering schemes, and were able to create ultra-low entropy band insulators. Based on this work we propose to realize schemes to further reduce the entropy in a doped Hubbard model by substantial amounts. This will be accomplished by implementing an advanced programmable optical lattice to dynamically tune lattice geometries. This should bring low temperature phases such as a d-wave superconductors within experimental reach. Furthermore we propose a double layer lattice to implement simultaneous spin- and charge resolved readout. This will enable us to directly study the intricate interaction between spin- and charge degrees of freedom, and should allow us to microscopically explore d-wave cooper pairing mechanisms. In addition, the proposed programmable lattice will enable simulating a range of new models, giving rise to new physics such as frustrated quantum magnetism.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jul 20, 2020
- Source ID
- W911NF2010104
Entities
People
- Markus Greiner
Organizations
- Army Contracting Command
- Harvard University
- United States Army