Nonlinear Dynamics in a Synthetic Momentum-State Lattice

Fangzhao Alex An, Bhuvanesh Sundar, Junpeng Hou, Xi Wang Luo, Eric J. Meier, Chuanwei Zhang, Kaden R.A. Hazzard, Bryce Gadway

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Abstract

The scope of analog simulation in atomic, molecular, and optical systems has expanded greatly over the past decades. Recently, the idea of synthetic dimensions—in which transport occurs in a space spanned by internal or motional states coupled by field-driven transitions—has played a key role in this expansion. While approaches based on synthetic dimensions have led to rapid advances in single-particle Hamiltonian engineering, strong interaction effects have been conspicuously absent from most synthetic dimensions platforms. Here, in a lattice of coupled atomic momentum states, we show that atomic interactions result in large and qualitative changes to dynamics in the synthetic dimension. We explore how the interplay of nonlinear interactions and coherent tunneling enriches the dynamics of a one-band tight-binding model giving rise to macroscopic self-trapping and phase-driven Josephson dynamics with a nonsinusoidal current-phase relationship, which can be viewed as stemming from a nonlinear band structure arising from interactions.

Original languageEnglish (US)
Article number130401
JournalPhysical review letters
Volume127
Issue number13
DOIs
StatePublished - Sep 24 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

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