Atom-optics simulator of lattice transport phenomena

Abstract

We experimentally investigate a scheme for studying lattice transport phenomena, based on the controlled momentum-space dynamics of ultracold atomic matter waves. In the effective tight-binding models that can be simulated, we demonstrate that this technique allows for a local and time-dependent control over all system parameters, and additionally allows for single-site resolved detection of atomic populations. We demonstrate full control over site-to-site off-diagonal tunneling elements (amplitude and phase) and diagonal site-energies, through the observation of continuous-time quantum walks, Bloch oscillations, and negative tunneling. These capabilities open up new prospects in the experimental study of disordered and topological systems.

5 pages, 3 figures; 3 pages of supplemental materials

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• Topological characterizations of an extended Su-Schrieffer-Heeger model
• Engineering a flux-dependent mobility edge in disordered zigzag chains
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• Observation of interaction-induced mobility edge in a disordered atomic wire
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• Engineering tunable local loss in a synthetic lattice of momentum states
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• Observation of topological phase with critical localization in a quasi-periodic lattice
• Quantum time reflection and refraction of ultracold atoms
• Exploring quantum signatures of chaos on a Floquet synthetic lattice
• A comprehensive review on developments of synthetic dimensions
• Nonlinear dynamics in a synthetic momentum state lattice
• Topological bound states of a quantum walk with cold atoms
• Observing dynamical currents in a non-Hermitian momentum lattice
• Ballistic, diffusive, and arrested transport in disordered momentum-space lattices
• Fast single atom imaging for optical lattice arrays
• Quantum Zeno effects across a parity-time symmetry breaking transition in atomic momentum space
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• Measuring Chern numbers in Hofstadter strips
• Quantum walk of a Bose-Einstein condensate in the Brillouin zone
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• Different models of gravitating Dirac fermions in optical lattices
• Feedback-assisted quantum search by continuous-time quantum walks
• Multi-frequency optical lattice for dynamic lattice-geometry control
• Experimental realization of a fermionic spin-momentum lattice
• Counterdiabatic control of transport in a synthetic tight-binding lattice
• Nonlinear dynamics and band transport in a superlattice driven by a plane wave
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• Synthetic dimensions and topological chiral currents in mesoscopic rings
• Periodic driving induced helical Floquet channels with ultracold atoms in momentum space
• Plasmons in Two-Dimensional Topological Insulators
• Protecting quantum coherences from static noise and disorder
• Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
• The Adiabatically Deformed Ensemble: Engineering Non-Thermal States of Matter
• Multiparameter estimation of continuous-time Quantum Walk Hamiltonians through Machine Learning
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• Curved vortex surfaces in four-dimensional superfluids: I. Unequal-frequency double rotations
• Designing nontrivial one-dimensional Floquet topological phases using a spin-1/2 double-kicked rotor
• Curved vortex surfaces in four-dimensional superfluids: II. Equal-frequency double rotations
• Antiferromagnetism and spin excitations in a two-dimensional non-Hermitian Hatano-Nelson flux model
• Two-Body Kapitza-Dirac Scattering of One-Dimensional Ultracold Atoms