Quantum Coherence Versus Non-Classical Correlations in Optomechanics

Abstract

Coherence arises from the superposition principle, where it plays a central role in quantum mechanics. In [Phys.Rev.Lett.114,210401(2015)], it has been shown that the freezing phenomenon of quantum correlations beyond entanglement, is intimately related to the freezing of quantum coherence (QC). In this paper, we compare the behaviour of entanglement and quantum discord with quantum coherence in two di erent subsystems (optical and mechanical). We use respectively the en-tanglement of formation (EoF) and the Gaussian quantum discord (GQD) to quantify entanglement and quantum discord. Under thermal noise and optomechanical coupling e ects, we show that EoF, GQD and QC behave in the same way. Remarkably, when entanglement vanishes, GQD and QC re-main almost una ected by thermal noise, keeping non zero values even for high temperature, which in concordance with [Phys.Rev.Lett.114,210401(2015)]. Also, we nd that the coherence associated with the optical subsystem are more robustagainst thermal noisethan those of the mechanical subsystem. Our results con rm that optomechanical cavities constitute a powerful resource of QC.

9 figures, 15 pages

References in corpus (31)

• Quantum entanglement
• Entanglement of Formation of an Arbitrary State of Two Qubits
• Cavity Optomechanics
• Gaussian Quantum Information
• Quantifying Coherence
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Quantum Coherence as a Resource
• The classical-quantum boundary for correlations: discord and related measures
• Optomechanical entanglement between a movable mirror and a cavity field
• Entangling macroscopic oscillators exploiting radiation pressure
• Phase noise measurement in a cavity with a movable mirror undergoing quantum Brownian motion
• Entanglement Measures under Symmetry
• Using interference for high fidelity quantum state transfer in optomechanics
• Quantum optics in the phase space - A tutorial on Gaussian states
• Frozen Quantum Coherence
• Entanglement of formation for symmetric Gaussian states
• The Entanglement of Formation for Isotropic States
• Measuring Gaussian quantum information and correlations using the Renyi entropy of order 2
• Macroscopic Quantum Superposition in Cavity Optomechanics
• Trapping and Cooling a mirror to its quantum mechanical ground state
• Quantifying coherence of Gaussian states
• Bipartite and tripartite output entanglement in 3-mode optomechanical systems
• Light-to-matter entanglement transfer in optomechanics
• Observation of time-invariant coherence in a room temperature quantum simulator
• Quantum error correction in the presence of spontaneous emission
• Entanglement of formation for an arbitrary two-mode Gaussian state
• Probing optomechanical correlations between two optical beams down to the quantum level
• Distributing fully optomechanical quantum correlations
• Gaussian geometric discord
• Hellinger distance as a measure of Gaussian discord
• Operational Discord Measure for Gaussian States with Gaussian Measurements