Non-classicality tests and entanglement witnesses for macroscopic mechanical superposition states

Abstract

We describe a set of measurement protocols for performing non-classicality tests and the verification of entangled superposition states of macroscopic continuous variable systems, such as nanomechanical resonators. Following earlier works, we first consider a setup where a two-level system is used to indirectly probe the motion of the mechanical system via Ramsey measurements and discuss the application of this methods for detecting non-classical mechanical states. We then show that the generalization of this techniques to multiple resonator modes allows the conditioned preparation and the detection of entangled mechanical superposition states. The proposed measurement protocols can be implemented in various qubit-resonator systems that are currently under experimental investigation and find applications in future tests of quantum mechanics at a macroscopic scale.

arXiv comment10 pages, 5 figures (no animals were harmed)

References in corpus (36)

• Cavity Optomechanics
• Laser cooling of a nanomechanical oscillator into its quantum ground state
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Models of Wave-function Collapse, Underlying Theories, and Experimental Tests
• 14-qubit entanglement: creation and coherence
• Towards quantum superpositions of a mirror
• Observation of quantum state collapse and revival due to the single-photon Kerr effect
• Entanglement and decoherence of a micromechanical resonator via coupling to a Cooper box
• Testing the limits of quantum mechanical superpositions
• Mechanical systems in the quantum regime
• Leggett-Garg Inequalities
• Strong magnetic coupling between an electronic spin qubit and a mechanical resonator
• Dynamic strain-mediated coupling of a single diamond spin to a mechanical resonator
• A single NV defect coupled to a nanomechanical oscillator
• Laser cooling of a nanomechanical resonator mode to its quantum ground state
• Resolved sidebands in a strain-coupled hybrid spin-oscillator system
• Inseparability criteria for bipartite quantum states
• Hybrid circuit cavity quantum electrodynamics with a micromechanical resonator
• Strain-mediated coupling in a quantum dot-mechanical oscillator hybrid system
• Ideal negative measurements in quantum walks disprove theories based on classical trajectories
• Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering
• Quantum dot opto-mechanics in a fully self-assembled nanowire
• The Oxford Questions on the foundations of quantum physics
• Probing macroscopic realism via Ramsey correlations measurements
• Inseparability criteria based on matrices of moments
• Schroedinger Cat States of a Nanomechanical Resonator
• Measuring mechanical motion with a single spin
• Nonclassical characteristic functions for highly sensitive measurements
• Quantum measurement backaction from a BEC coupled to a mechanical oscillator
• Finite-time quantum-to-classical transition for a Schroedinger-cat state
• Non-classicality of optomechanical devices in experimentally realistic operating regimes
• Spin gases as microscopic models for non-Markovian decoherence
• Optomechanical Ramsey Interferometry
• Complete nonclassicality test with a photon-number resolving detector
• Oscillator state reconstruction via tunable qubit coupling in Markovian environments
• Witnessing non-classicality of a quantum oscillator state by coupling it to a qubit

Cited by in corpus (6)

• Quantum information processing in phase space: A modular variables approach
• Heralded entangled coherent states between spatially separated massive resonators
• Implementable Hybrid Entanglement Witness
• High fidelity macroscopic superposition states via shortcut to adiabaticity
• Witnessing genuine multipartite entanglement in phase space with controlled Gaussian unitaries
• Effect of relativistic motion on witnessing non-classicality of quantum states