Precision Metrology via Driving through Quantum Phase Transitions
Jiahao Huang, Min Zhuang, Chaohong Lee
Abstract
We propose a scheme to realize high-precision many-body quantum interferometry by driving the system through quantum phase transitions. The beam splitting, in which an initial non-degenerate groundstate evolves into a highly entangled state, is achieved by adiabatically driving the system from a non-degenerate regime to a degenerate one. Inversely, the beam recombination, in which the output state after interrogation becomes gradually disentangled, is accomplished by adiabatically driving the system from the degenerate regime to the non-degenerate one. The phase shift, which is accumulated in the interrogation process, can then be easily inferred via population measurement. We apply our scheme to two-mode Bose condensed atoms and spin-1 Bose-Einstein condensates, and find that Heisenberg-limited precision scalings can be approached. Our proposed scheme does not require single-particle resolved detection and is within the reach of current experiment techniques.