Unconditional Wigner-negative mechanical entanglement with
linear-and-quadratic optomechanical interactions
- URL: http://arxiv.org/abs/2302.03702v1
- Date: Tue, 7 Feb 2023 19:00:08 GMT
- Title: Unconditional Wigner-negative mechanical entanglement with
linear-and-quadratic optomechanical interactions
- Authors: Peter McConnell, Oussama Houhou, Matteo Brunelli, Alessandro Ferraro
- Abstract summary: We propose two schemes for generating Wigner-negative entangled states unconditionally in mechanical resonators.
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.
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.
- Score: 62.997667081978825
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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
non-interacting 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.
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