Berlin 2024 – scientific programme

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QI: Fachverband Quanteninformation

QI 18: Poster II

QI 18.10: Poster

Wednesday, March 20, 2024, 11:00–14:30, Poster A

Creating NOON states with ultracold bosonic atoms via counterdiabatic driving — •Simon Dengis¹, Sandro Wimberger^2,3, and Peter Schlagheck¹ — ¹CESAM Research Unit, University of Liege, 4000 Liege, Belgium — ²Istituto Nazionale di Fisica Nucleare (INFN), Sezione Milano Bicocca, Gruppo collegato di Parma, Italy — ³Dipartimento di Matematica, Fisica e Informatica, Università di Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy

We theoretically investigate quantum control protocols for the creation of NOON states using ultracold bosonic atoms on two modes, corresponding to the coherent superposition |N,0⟩ + |0,N⟩, for a small number N of bosons. One possible method to create this state is to consider a third mode where all bosons are initially placed, which is symmetrically coupled to the two other modes. Tuning the energy of this third mode across the energy level of the other two modes allows the adiabatic creation of the NOON state. The main issue with this method is that it requires a large amount of time to reach the NOON state. However, this problem can be addressed by the application of a counterdiabatic Hamiltonian, which allows one to significantly reduce the time required to achieve these entangled states. We demonstrate that such a counterdiabatic protocol is feasible and effective for a single particle, and then discuss how to extend its application to a larger number of bosons.

Keywords: Ultracold bosonic atoms; NOON state; Quantum control; Shortcut to adiabaticity