Creating triple-NOON states with ultracold atoms via chaos-assisted
tunneling
- URL: http://arxiv.org/abs/2202.05589v2
- Date: Thu, 26 May 2022 17:11:56 GMT
- Title: Creating triple-NOON states with ultracold atoms via chaos-assisted
tunneling
- Authors: Guillaume Vanhaele, Arnd B\"acker, Roland Ketzmerick, Peter Schlagheck
- Abstract summary: Triple-NOON states are superpositions of the form $ei varphi_1 |N,0,N,0rangle + ei varphi_3 |0,N,0rangle$ involving $N$ bosonic quanta distributed over three modes.
We show how such highly entangled states can be generated with interacting ultracold bosonic atoms in a symmetric three-site lattice.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Triple-NOON states are superpositions of the form $e^{i \varphi_1}
|{N,0,0}\rangle + e^{i \varphi_2} |{0,N,0}\rangle + e^{i \varphi_3}
|{0,0,N}\rangle$ involving $N$ bosonic quanta distributed over three modes. We
theoretically show how such highly entangled states can be generated with
interacting ultracold bosonic atoms in a symmetric three-site lattice. The
basic protocol consists in preparing all atoms on one site of the lattice and
then letting the system evolve during a specific time such that collective
tunneling of the atoms to the other two sites takes place. The key point put
forward here is that this evolution time can be reduced by several orders of
magnitude via the application of a periodic driving of the lattice, thereby
rendering this protocol feasible in practice. This driving is suitably tuned
such that classical chaos is generated in the entire accessible phase space
except for the Planck cells that host the states participating at the above
triple-NOON superposition. Chaos-assisted tunneling can then give rise to a
dramatic speed-up of this collective tunneling process, without significantly
affecting the purity of this superposition. A triple-NOON state containing $N =
5$ particles can thereby be realized with $^{87}$Rb atoms on time scales of the
order of a few seconds.
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