Stabilization of cat-states in trapped ion systems outside the Lamb-Dicke regime

Abstract

Schrodinger’s cat qubits are a promising candidate for bosonic error correction and have been the subject of extensive theoretical and experimental investigation. We introduce a new paradigm to stabilize cat-like states using interfering gain and loss processes with different nonlinear dependence on the energy of the oscillator. Where these competing processes are equal in strength, we show that the steady state features manifolds of multi-component cat states with various rotational symmetry, energy distributions, and degeneracy. We show that our method can be implemented in trapped ion systems, where the desired nonlinear interactions naturally emerge from the ion-light coupling outside the Lamb-Dicke regime.

References

• arxiv.org/abs/2407.18087