Quantum metrology with Bloch Oscillations in Floquet phase space

Abstract

Quantum particles performing Bloch oscillations in a spatially periodic potential can be used as a very accurate detector of constant forces. We find that the similar oscillations that can appear in the Floquet phase space of a quantum particle subjected a periodic temporal driving, even in the absence of periodic lattice potential, can likewise be exploited as detectors. Compared with their spatial Bloch analog, however, the Floquet-Bloch oscillations provide significant added flexibility and open the way to a broad range of precision metrology applications. We illustrate this property on the examples of a tachometer and a magnetometer.

Unified Light-Matter Floquet Theory and its Application to Quantum Communication

“…( 17) using the analytical expression of the moment-generating function in Eq. (37). To simplify the simulation, we use the conservation of excitations Nex = σz + k â † k âk in the two-mode Jaynes-Cummings model, and numbersqueezed states with a large mean photon number but a small variance (see Appendix C for more details).…”

“…In recent years, periodic driving has emerged as a powerful tool for the coherent control of many-body systems. This has led to the realization of novel quantum phases of matter like dynamical topological states [1-15] and discrete time crystals [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] as well as breakthroughs in applications like spectroscopy [32][33][34][35], metrology [36][37][38], and quantum simulation [39][40][41][42][43][44][45][46][47][48][49][50]. These non-equilibrium quantum systems are generally analyzed using Floquet theory -a method first developed by Jon Shirley in 1965 [51].…”