We report on current experimental efforts in the development of a new generation of trapped atom interferometers for the high precision measurement of gravity, accelerations, electromagnetic fields and fundamental constants. The use of trapped atomic samples offer sub-micron spatial resolution in the measurement of forces. In addition the laws of quantum mechanics that govern the dynamics of the interferometers allows to make use of special quantum correlations between the atoms, known as quantum entanglement, to burst the sensitivity of such devices.
In this talk we will show the operation of a Mach Zender interferometer using the analogous of the laser for atomic matter-waves trapped in a double well potential [1, 2]. In addition we will show preliminary results in the generation of quantum entangled states using strong attractive interactions between the atoms . Finally we will present the perspectives offered by our system both for possible future applications and test of fundamental physics.
 "Direct evaporative cooling of 39K atoms to Bose-Einstein condensation", M. Landini, S. Roy, G. ROati, A. Simoni, M. Inguscio, G. Modugno, and M. Fattori, Phys. Rev. A, 033421 (2012)
 "Crossing over from attractive to repulasive interactions in a tunneling bosonic Josephson Junction", G. Spagnolli et al., accepted for publication in PRL.
“Quantum phase transitions with parity symmetry breaking and hystereys”, A. Trenkwalder, G. Spagnolli, G. Semeghini, S. Coop, M. Landini, P. Castilho, L. Pezzè, G. Modugno, M. Inguscio, A. Smerzi, M. Fattori, Nature Physics 12, 826-829 (2016)