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Cold atoms in an optical lattice provide an ideal platform for studying Blochoscillations. Here, we extend Bloch oscillations to two superposed opticallattices that are accelerated away from one another, and for the first timeshow that these symmetric Bloch oscillations can split, reflect and recombinematter waves coherently. Using the momentum parity-symmetry of the Hamiltonian,we map out the energy band structure of the process and show thatsuperpositions of momentum states are created by adiabatically following theground state of the Hamiltonian. The relative phase and velocity of the twolattices completely determines the trajectories of different branches of thematter wave. Experimentally, we demonstrate symmetric Bloch oscillations usingcold Cesium atoms where we form interferometers with up to $240\hbar k$momentum splitting, one of the largest coherent momentum splittings achieved todate. This work has applications in macroscopic tests of quantum mechanics,measurements of fundamental constants, and searches for new physics.

Symmetric Bloch oscillations of matter waves