Quantum 2025 – scientific programme

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MON: Monday Contributed Sessions

MON 15: Many-Body Quantum Dynamics II

MON 15.4: Talk

Monday, September 8, 2025, 17:15–17:30, ZHG003

NOON entanglement via quantum control in Bose-Hubbard systems — •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

A quantum control protocol is proposed for the creation of NOON states with N ultracold bosonic atoms on two modes, corresponding to the coherent superposition | N,0⟩ + | 0,N⟩. This state can be prepared by using a third mode where all bosons are initially placed and which is symmetrically coupled to the two other modes. Tuning the energy of this third mode across the energy level of the other modes allows the adiabatic creation of the NOON state. While this process normally takes too much time to be of practical usefulness, due to the smallness of the involved spectral gap, it can be drastically boosted through counterdiabatic driving which allows for efficient gap engineering. We then extend this entanglement protocol to the realization of multi-mode NOON states by employing a generic star-shaped Bose-Hubbard model with an arbitrary number of modes. We demonstrate that this process can be implemented in terms of static parameter adaptations that are experimentally feasible with ultracold quantum gases using Geodesic Counterdiabatic Driving, which saturates the quantum speed limit.

Keywords: Shortcut to adiabaticity; Counterdiabatic driving; Ultracold atoms; NOON state; Many-Body