Entangled-state generation and Bell inequality violations in nanomechanical resonators

Abstract

We investigate theoretically the conditions under which a multi-mode nanomechanical resonator, operated as a purely mechanical parametric oscillator, can be driven into highly nonclassical states. We find that when the device can be cooled to near its ground state, and certain mode matching conditions are satisfied, it is possible to prepare distinct resonator modes in quantum entangled states that violate Bell inequalities with homodyne quadrature measurements. We analyze the parameter regimes for such Bell inequality violations, and while experimentally challenging, we believe that the realization of such states lies within reach. This is a re-imagining of a quintessential quantum optics experiment by using phonons that represent tangible mechanical vibrations.

11 pages, 7 figures

References in corpus (22)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Sideband Cooling Micromechanical Motion to the Quantum Ground State
• Entanglement in continuous variable systems: Recent advances and current perspectives
• Climbing the Jaynes-Cummings Ladder and Observing its Sqrt(n) Nonlinearity in a Cavity QED System
• State Transfer Between a Mechanical Oscillator and Microwave Fields in the Quantum Regime
• Creating and probing macroscoping entanglement with light
• Proposal for an Optomechanical Traveling Wave Phonon-Photon Translator
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Generating Entangled Microwave Radiation Over Two Transmission Lines
• Nonlinear spectroscopy of photons bound to one atom
• Nonlinear modal interactions in clamped-clamped mechanical resonators
• Cavity-assisted squeezing of a mechanical oscillator
• Testing nonclassicality in multimode fields: a unified derivation of classical inequalities
• Entangling two macroscopic mechanical mirrors in a two-cavity optomechanical system
• Quantum Information Processing with Nanomechanical Qubits
• Bell inequalities for continuous-variable correlations
• Two-Mode Squeezed States and Entangled States of Two Mechanical Resonators
• Nonlinear quantum metrology using coupled nanomechanical resonators
• Strong and tunable mode coupling in carbon nanotube resonators
• Lower limit on the achievable temperature in resonator-based sideband cooling
• Nonlinear modal coupling in a high-stress doubly-clamped nanomechanical resonator
• Reading, writing and squeezing the entangled states of two nanomechanical resonators coupled to a SQUID

Cited by in corpus (24)

• Enhanced entanglement of two different mechanical resonators via coherent feedback
• Macroscopic quantum entanglement in modulated optomechanics
• Generation and detection of large and robust entanglement between two different mechanical resonators in cavity optomechanics
• Tunable multiphonon blockade in coupled nanomechanical resonators
• Method for observing robust and tunable phonon blockade in a nanomechanical resonator coupled to a charge qubit
• Two-mode squeezing in an electromechanical resonator
• Dynamical two-mode squeezing of thermal fluctuations in a cavity opto-mechanical system
• Simple preparation of Bell and GHZ states using ultrastrong-coupling circuit QED
• Entangling two oscillators with arbitrary asymmetric initial states
• Dynamic entanglement transfer in a double-cavity optomechanical system
• Parametric strong mode-coupling in carbon nanotube mechanical resonators
• Quantum correlation enhanced weak field detection in optomechanical system
• Experimental violation of Bell inequalities for multi-dimensional systems
• Circuit QED: single-step realization of a multiqubit controlled phase gate with one microwave photonic qubit simultaneously controlling $n-1$ microwave photonic qubits
• Quantum Process Capability
• Quantifying Quantum-Mechanical Processes
• Controlling the nonclassical properties of a hybrid Cooper pair box system and an intensity dependent nanomechanical resonator
• Stability and dynamics of optically levitated dielectric disks in a Gaussian standing wave beyond the harmonic approximation
• Non equilibrium dynamics of an optomechanical Dicke model
• Bell's inequality violation by dynamical Casimir photons in a superconducting microwave circuit
• Controlling properties of a hybrid Cooper pair box interacting with a nanomechanical resonator in the presence of Kerr nonlinearities and losses
• NOON state generation with phonons in acoustic wave resonators assisted by a nitrogen-vacancy-center ensemble
• Macroscopic quantum oscillator based on a flux qubit
• Violations of the Leggett-Garg inequality for coherent and cat states