2000 character limit reached
Stability of superfluids in tilted optical lattices with periodic driving (2401.05265v1)
Published 10 Jan 2024 in cond-mat.quant-gas and quant-ph
Abstract: Tilted lattice potentials with periodic driving play a crucial role in the study of artificial gauge fields and topological phases with ultracold quantum gases. However, driving-induced heating and the growth of phonon modes restrict their use for probing interacting many-body states. Here, we experimentally investigate phonon modes and interaction-driven instabilities of superfluids in the lowest band of a shaken optical lattice. We identify stable and unstable parameter regions and provide a general resonance condition. In contrast to the high-frequency approximation of a Floquet description, we use the superfluids' micromotion to analyze the growth of phonon modes from slow to fast driving frequencies. Our observations enable the prediction of stable parameter regimes for quantum-simulation experiments aimed at studying driven systems with strong interactions over extended time scales.
- N. Goldman and J. Dalibard, Periodically Driven Quantum Systems: Effective Hamiltonians and Engineered Gauge Fields, Physical Review X 4, 031027 (2014).
- A. Eckardt, Colloquium: Atomic quantum gases in periodically driven optical lattices, Reviews of Modern Physics 89, 011004 (2017).
- C. V. Parker, L.-C. Ha, and C. Chin, Direct observation of effective ferromagnetic domains of cold atoms in a shaken optical lattice, Nature Physics 9, 769 (2013).
- M. Aidelsburger, S. Nascimbene, and N. Goldman, Artificial gauge fields in materials and engineered systems, Comptes Rendus Physique Quantum Simulation / Simulation Quantique, 19, 394 (2018).
- N. R. Cooper, J. Dalibard, and I. B. Spielman, Topological bands for ultracold atoms, Reviews of Modern Physics 91, 015005 (2019).
- L. W. Clark, L. Feng, and C. Chin, Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition, Science 354, 606 (2016).
- D. Jaksch and P. Zoller, Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms, New Journal of Physics 5, 56 (2003).
- F. Gerbier and J. Dalibard, Gauge fields for ultracold atoms in optical superlattices, New Journal of Physics 12, 033007 (2010).
- C. Weitenberg and J. Simonet, Tailoring quantum gases by Floquet engineering, Nature Physics 17, 1342 (2021).
- T. Bilitewski and N. R. Cooper, Scattering theory for Floquet-Bloch states, Physical Review A 91, 033601 (2015).
- G. Sun and A. Eckardt, Optimal frequency window for Floquet engineering in optical lattices, Physical Review Research 2, 013241 (2020).
- S. Arlinghaus and M. Holthaus, Driven optical lattices as strong-field simulators, Physical Review A 81, 063612 (2010).
- J. H. V. Nguyen, D. Luo, and R. G. Hulet, Formation of matter-wave soliton trains by modulational instability, Science 356, 422 (2017).
- S. Lellouch and N. Goldman, Parametric instabilities in resonantly-driven Bose–Einstein condensates, Quantum Science and Technology 3, 024011 (2018).
- Y. Zheng, M. Kostrun, and J. Javanainen, Low-Acceleration Instability of a Bose-Einstein Condensate in an Optical Lattice, Physical Review Letters 93, 230401 (2004).
- M. Bukov, L. D’Alessio, and A. Polkovnikov, Universal high-frequency behavior of periodically driven systems: From dynamical stabilization to Floquet engineering, Advances in Physics 64, 139 (2015b).
- C. E. Creffield and F. Sols, Generation of uniform synthetic magnetic fields by split driving of an optical lattice, Physical Review A 90, 023636 (2014).
- C. E. Creffield, Instability and control of a periodically driven Bose-Einstein condensate, Physical Review A 79, 063612 (2009).
- B. Wu and Q. Niu, Superfluidity of Bose–Einstein condensate in an optical lattice: Landau–Zener tunnelling and dynamical instability, New Journal of Physics 5, 104 (2003).
- M. Modugno, C. Tozzo, and F. Dalfovo, Role of transverse excitations in the instability of Bose-Einstein condensates moving in optical lattices, Physical Review A 70, 043625 (2004).
- A. Eckardt and M. Holthaus, AC-induced superfluidity, Europhysics Letters 80, 50004 (2007).
- C. Tozzo, M. Krämer, and F. Dalfovo, Stability diagram and growth rate of parametric resonances in Bose-Einstein condensates in one-dimensional optical lattices, Physical Review A 72, 023613 (2005).
- A. R. Kolovsky and H. J. Korsch, Dynamics of interacting atoms in driven tilted optical lattices, Journal of Siberian Federal University 3, 311 (2010).
- S. Arlinghaus and M. Holthaus, Generalized acceleration theorem for spatiotemporal Bloch waves, Physical Review B 84, 054301 (2011).