Optimal Floquet Engineering for Large Scale Atom Interferometers (2403.14337v1)
Abstract: The effective control of atomic coherence with cold atoms has made atom interferometry an essential tool for quantum sensors and precision measurements. The performance of these interferometers is closely related to the operation of large wave packet separations. We present here a novel approach for atomic beam splitters based on the stroboscopic stabilization of quantum states in an accelerated optical lattice. The corresponding Floquet state is generated by optimal control protocols. In this way, we demonstrate an unprecedented Large Momentum Transfer (LMT) interferometer, with a momentum separation of 600 photon recoils ($600\hbar k$) between its two arms. Each LMT beam splitter is realized in a remarkably short time (2 ms) and is highly robust against the initial velocity dispersion of the wave packet and lattice depth fluctuations. Our study shows that Floquet engineering is a promising tool for exploring new frontiers in quantum physics at large scales, with applications in quantum sensing and testing fundamental physics.
- D. Carney, H. Müller, and J. M. Taylor, Using an Atom Interferometer to Infer Gravitational Entanglement Generation, PRX Quantum 2, 030330 (2021).
- B. Canuel et al., Exploring gravity with the MIGA large scale atom interferometer, Scientific Reports 8, 14064 (2018).
- M. Abe et al., Matter-wave Atomic Gradiometer Interferometric Sensor (MAGIS-100), Quantum Science and Technology 6, 044003 (2021).
- A. A. Geraci and A. Derevianko, Sensitivity of Atom Interferometry to Ultralight Scalar Field Dark Matter, Phys. Rev. Lett. 117, 261301 (2016).
- U. Boscain, M. Sigalotti, and D. Sugny, Introduction to the Pontryagin Maximum Principle for Quantum Optimal Control, PRX Quantum 2, 030203 (2021).
- L. D. Marin Bukov and A. Polkovnikov, Universal high-frequency behavior of periodically driven systems: from dynamical stabilization to Floquet engineering, Advances in Physics 64, 139–226 (2015).
- J. H. Shirley, Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time, Phys. Rev. 138, B979–B987 (1965).
- W. Schleich, Quantum Optics in Phase Space (Wiley, 2011).
- T. Kovachy, S.-w. Chiow, and M. A. Kasevich, Adiabatic-rapid-passage multiphoton Bragg atom optics, Phys. Rev. A 86, 011606 (2012).
- K. E. McAlpine, D. Gochnauer, and S. Gupta, Excited-band Bloch oscillations for precision atom interferometry, Phys. Rev. A 101, 023614 (2020).
- C. A. Weidner and D. Z. Anderson, Experimental demonstration of shaken-lattice interferometry, Phys. Rev. Lett. 120, 263201 (2018).