Correlated dynamics in a synthetic lattice of momentum states
arXiv:1708.01237 · doi:10.1103/PhysRevLett.120.040407
Abstract
We study the influence of atomic interactions on quantum simulations in momentum-space lattices (MSLs), where driven transitions between discrete momentum states mimic transport between sites of a synthetic lattice. Low energy atomic collisions, which are short ranged in real space, relate to nearly infinite-ranged interactions in momentum space. However, the added exchange energy between atoms in distinguishable momentum states leads to an effectively attractive, finite-ranged interaction in momentum space. In this work, we observe the onset of self-trapping driven by such interactions in a momentum-space double well, paving the way for more complex many-body studies in tailored MSLs. We consider the types of phenomena that may result from these interactions, including the formation of chiral solitons in topological zigzag lattices.
6 pages, 3 figures; 3 pages of supplementary materials; This submission supersedes arXiv:1702.07315 with updated experimental results
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- A comprehensive review on developments of synthetic dimensions
- Nonlinear dynamics in a synthetic momentum state lattice
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- Adiabaticity in nonreciprocal Landau-Zener tunneling
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- Colloquium: Synthetic quantum matter in non-standard geometries
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- Flux enhanced localization and reentrant delocalization in the quench dynamics of two interacting bosons on a Bose-Hubbard ladder
- Real-space analysis of Hatsugai-Kohmoto interaction
- Fibonacci-Modulation-Induced Multiple Topological Anderson Insulators
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- Quasiperiodicity protects quantized transport in disordered systems without gaps
- Lattice dynamics in an emergent Zeeman lattice
- Interaction-induced chiral-transport inversion
- Two-particle topological Thouless spin pump
- Synthetic-lattice Bloch wave dynamics in a single-mode microwave resonator
- Theory of anomalous Landau-Zener tunneling induced by nonlinear coupling