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Phase diagram and quench dynamics of a Floquet-engineered one-dimensional quantum droplet

Chen Jiao1, Qi Wang1, Wen-Kai Bai1,2,*, Wu-Ming Liu3,4, and Tao Yang1,2,5,†

  • 1Shaanxi Key Laboratory for Theoretical Physics Frontiers, Institute of Modern Physics, Northwest University, Xi'an 710127, China
  • 2Peng Huanwu Center for Fundamental Theory, Xi'an 710127, China
  • 3Tsientang Institute for Advanced Study, Hangzhou 310024, China
  • 4Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 5Shaanxi Basic Discipline Research Center on Quantum Physics, Xi'an 710127, China

  • *Contact author: baiw@nwu.edu.cn
  • †Contact author: yangt@nwu.edu.cn
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Phys. Rev. B 113, 184507 – Published 4 May, 2026

DOI: https://doi.org/10.1103/vhpp-2z36

Abstract

We theoretically investigate a one-dimensional quantum droplet with spin-orbit (SO) coupling and periodically modulated Raman coupling. Using a Floquet approach, we derive an effective time-independent model that reveals a controlled phase diagram. Crucially, the interplay of quantum fluctuations encoded in the Lee-Huang-Yang correction and SO coupling suppresses the plane-wave phase that is typical of mean-field SO-coupled condensates. The ground state is instead restricted to two distinct phases: a stripe phase, with periodic density modulations, and a zero-momentum phase, with a flat-top density profile. The plane-wave droplet is a metastable state of the system. We demonstrate that the boundary between these phases can be dynamically manipulated by tuning the driving parameters. Furthermore, we explore the system's response to quantum quenches, uncovering a wealth of nonequilibrium phenomena, including the dynamical formation of stable, solitonlike structures. Our work establishes periodic driving as a powerful tool for the dynamical control of self-bound quantum matter and elucidates the fundamental role of quantum fluctuations in shaping the phase diagram of SO-coupled droplets.

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Outline

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Phys. Rev. B 113, 184507– Published 4 May, 2026
  • Received 9 November 2025
  • Revised 26 February 2026
  • Accepted 31 March 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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