Multichannel bound state calculations of ¹⁷¹Yb + ¹⁷⁴Yb molecular system

Recently, it has been realized that the hybrid system consisting of dual-isotopic Yb array, where the nuclear spin qubit of fermionic ¹⁷¹Yb is utilized as a data qubit and bosonic ¹⁷⁴Yb as a ancilla qubit with the capacity of nondestructive state selective qubit readout [1]. The measurements shown in their work promises the potential of dual-Yb atom array for ancilla based quantum error correction protocols. The accurate determination of bound vibrational states is quite critical for guiding such experiments for molecular formation. Therefore, to carry out the calculations of bound states, we developed a multichannel interaction model for the fermion-boson heteronuclear Yb₂ system in the molecular excited state dissociating into ¹S₀ and ³P₁ atomic states asymptote. We extended an approach for heteronuclear boson system [2] by including the nuclear spin of the fermionic Yb, like in Ref. [3]. We utilized the Born-Oppenheimer effective interaction potential by including the leading long-range van der Waals terms. The mapped discrete variable representation (DVR) method [4] is implemented numerically to solve the Schrodinger equation for computing bound ro-vibrational states. The computed bound state energies compares well with the earlier theoretical estimation and experimental results [1].

 

[1] Y. Nakamura et al., Phys. Rev. X 14, 041062 (2024).

[2] M. Borkowski et al., Phys. Rev. A 84, 030702(R) (2011).

[3] I. Reichenbach et al., Phys. Rev. A 80, 020701(R) (2009).

[4] E. Tiesinga et al., Phys. Rev. A 57, 4257 (1998).