Abstract
The generation of entangled states that display negative values of the Wigner function in the quantum phase space is a challenging task, particularly elusive for massive, and possibly macroscopic, systems such as mechanical resonators. In this work, we propose two schemes based on reservoir engineering for generating Wigner-negative entangled states unconditionally. We consider two noninteracting mechanical resonators that are radiation-pressure coupled to either one or two common cavity fields; the optomechanical coupling with the field(s) features both a linear and quadratic part in the mechanical displacement and the cavity is driven at multiple frequencies. We show analytically that both schemes stabilize a Wigner-negative entangled state that combines the entanglement of a two-mode squeezed vacuum with a cubic nonlinearity, which we dub cubic-phase entangled (CPE) state. We then perform extensive numerical simulations to test the robustness of Wigner-negative entanglement attained by approximate CPE states stabilized in the presence of thermal decoherence.
Original language | English |
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Article number | 033508 |
Journal | Physical Review A |
Volume | 109 |
Issue number | 3 |
DOIs | |
Publication status | Published - 07 Mar 2024 |
Keywords
- Unconditional Wigner-negative mechanical entanglement
- linear-and-quadratic optomechanical interactions
- mechanical entanglement
- optomechanical interactions