An atom optics approach to studying lattice transport phenomena

Abstract

We present a simple experimental scheme, based on standard atom optics techniques, to design highly versatile model systems for the study of single particle quantum transport phenomena. The scheme is based on a discrete set of free-particle momentum states that are coupled via momentum-changing two-photon Bragg transitions, driven by pairs of interfering laser beams. In the effective lattice models that are accessible, this scheme allows for single-site detection, as well as site-resolved and dynamical control over all system parameters. We discuss two possible implementations, based on state-preserving Bragg transitions and on state-changing Raman transitions, which respectively allow for the study of nearly arbitrary single particle Abelian U(1) and non-Abelian U(2) lattice models.

10 pages, 4 figures

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• Observing dynamical currents in a non-Hermitian momentum lattice
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• Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
• Creating locally interacting Hamiltonians in the synthetic frequency dimension for photons
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• Many-body chiral edge currents and sliding phases of atomic spinwaves in momentum-space lattice
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• Measuring Chern numbers in Hofstadter strips
• Engineering mobility in quasiperiodic lattices with exact mobility edges
• Damping transition in an open generalized Aubry-André-Harper model
• Complexity phase diagram for interacting and long-range bosonic Hamiltonians
• Multi-frequency optical lattice for dynamic lattice-geometry control
• Fermionic correlation functions from randomized measurements in programmable atomic quantum devices
• Counterdiabatic control of transport in a synthetic tight-binding lattice
• Quantum Membrane Phases in Synthetic Lattices of Cold Molecules or Rydberg Atoms
• Superfluid Vortices in Four Spatial Dimensions
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• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Rabi oscillations and Ramsey-type pulses in ultracold bosons: Role of interactions
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• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Coherent spin mixing via spin-orbit coupling in Bose gases
• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Integer Programming Using A Single Atom
• Ultracold atomic lattice systems for simulating topological phases: A review
• Two-Body Kapitza-Dirac Scattering of One-Dimensional Ultracold Atoms