Detecting macroscopic quantum coherence with a cavity optomechanical system

Abstract

The rigorous resource framework of quantum coherence has been set up recently and excited a wide variety of interests. Here we show that a quantum cavity optomechanical system, as an emerging platform, can behave with a certain value of quantum coherence at a macroscopic scale. We also find that the difference between the total optomechanical coherence and the sum of the optical and the mechanical coherence just equals their mutual information. Motivated by the detection of the optomechanical entanglement, an experimentally feasible scheme to probe the optomechanical coherence is proposed.

Generation of coherence via Gaussian measurements

“…This is in complete analogy with discrete variable systems [37], where the same result have been obtained by resorting to a geometric measure of quantum discord. Furthermore, if we consider the Gaussian relative entropy of coherence, then the quantity ∆C G S is equal to the quantum mutual information [42]:…”

Quantum Coherence Regulated by Nanoparticles in a Whispering‐Gallery‐Mode Microresonator

“…The detection and quantification of quantum coherence is thus a fundamental task in physics. Surprisingly, quantum coherence does not only appear in various microscopic systems, [ 7–9 ] but also in macroscopic systems like Bose–Einstein condensates, [ 10,11 ] cavity optomechanical system, [ 12–15 ] Josephson junction, [ 16 ] graphene sheet, [ 17 ] etc. In 2014, Baumgratz et al., provided a rigorous framework for quantifying the quantum coherence of finite‐dimensional quantum states by adopting the viewpoint of coherence as a physical resource.…”

“…explored the macroscopic quantum coherence of the Fabry–Pérot cavity optomechanical system by using the quantization method of Gaussian state coherence proposed by Jianwei Xu. [ 12 ] Based on the same theory, Xiyun Li et al. investigated the macroscopic quantum coherence in a hybrid optomechanical system consisting of a suspended graphene sheet and an ultracold atomic ensemble trapped inside a Fabry–Pérot cavity.…”

Quantum coherence of the Heisenberg spin models with Dzyaloshinsky-Moriya interactions

“…Investigations on the role of quantum coherence in thermodynamic processes [24][25][26], assisted subspace discrimination [27], quantum state merging [28] and in the generation of gaussian entanglement [29] have been carried out. Currently there is a lot of interest in applying the procedure of quantifying coherence and relating them to experimental quantities in feasible systems like Bose-Einstein condensates [30,31], cavity optomechanical system [32,33] and spin systems [34][35][36][37][38][39].In Ref.[4] the set of properties a functional should satisfy in order to be considered as a coherence measure were proposed. Based on these developments several functions were introduced to serve as measures of coherence [4,[40][41][42][43][44][45][46][47].…”

“…Investigations on the role of quantum coherence in thermodynamic processes [24][25][26], assisted subspace discrimination [27], quantum state merging [28] and in the generation of gaussian entanglement [29] have been carried out. Currently there is a lot of interest in applying the procedure of quantifying coherence and relating them to experimental quantities in feasible systems like Bose-Einstein condensates [30,31], cavity optomechanical system [32,33] and spin systems [34][35][36][37][38][39].…”