Abstract
We propose a method to generate multi-mode N00N states with arrays of ultracold atoms. Our protocol requires a strong relative offset among the wells and a drive of the interparticle interaction at a frequency resonant with the offsets. The proposal is demonstrated by a numerical and a Floquet analysis of the quantum dynamics of a ring-shaped atomtronics circuit made of M weakly coupled optical traps. We generate a hierarchy of energy scales down to very few low-energy states where N00N dynamics takes place, making multi-mode N00N states appear at nearly regular time intervals. The production of multi-mode N00N states can be probed by time-of-flight imaging. Such states may be used to build a multiple beam splitter.
Highlights
Entanglement is at the root of quantum technology [1]
We generate a hierarchy of energy scales down to very few low-energy states where N00N dynamics takes place, making multimode N00N states appear at nearly regular time intervals
We propose a protocol for the generation of multimode N00N states, i.e. the states of the type |N000 . . . + |0N00 . . . + |00N . . . + . . . Such states are relevant to different contexts of quantum technology such as multiport interferometry [14]
Summary
Entanglement is at the root of quantum technology [1]. Depending on the number of subsystems involved, such genuine quantum correlations can be of very different nature [2,3]. Nonclassical states of several identical particles possess intrinsic quantum correlations that can be exploited in technological applications. Among the most well-known nonclassical states, the bipartite “N00N” states correspo√nd to the macroscopic superposition ψ = (|N, 0 + |0, N )/ 2, where |n1, n2 have n1, n2 bosons in the modes 1 and 2, respectively. Such states are maximally entangled and highly sought for applications, e.g., to high-precision interferometry [11,12,13]
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