Quantum entanglement of nanocantilevers

Abstract

We propose a scheme to entangle two mechanical nanocantilevers through indirect interactions mediated by a gas of ultra cold atoms. We envisage a system of nanocantilevers magnetically coupled to a Bose-Einstein condensate of atoms and focus on studying the dark states of the system. These dark states are entangled states of the two nanocantilevers, with no coupling to the atomic condensate. In the absence of dissipation, the degree of entanglement is found to oscillate with time, while if dissipation is included, the system is found to relax to a statistical mixture of dark states which remains time independent until the inevitable thermal dephasing destroys the nanocantilever coherence. This opens up the possibility of achieving long-lived entangled nanocantilever states.

10 pages, 8 figures

References in corpus (7)

• Preparation and Detection of a Mechanical Resonator Near the Ground State of Motion
• Decoherence of matter waves by thermal emission of radiation
• Hybrid quantum devices and quantum engineering
• Bose-Einstein condensate coupled to a nanomechanical resonator on an atom chip
• Resonant coupling of a Bose-Einstein condensate to a micromechanical oscillator
• Cavity-Assisted Back Action Cooling of Mechanical Resonators
• Preparing a mechanical oscillator in non-Gaussian quantum states

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• Steady-state entanglement in a double-well Bose-Einstein condensate through coupling to a superconducting resonator
• Analysis of photon-mediated entanglement between distinguishable matter qubits
• $SU(1,1)\times SU(2)$ approach and the Mandel parameter to the Hamiltonian of two oscillators with weak coupling
• Quantum phase properties of a state driven by a classical field
• The Model of Quantum Thermodynamics From the First Principles: Quantum Halo or Small Environment
• Exact solution of the isotropic and anisotropic Hamiltonian of two coupled harmonic oscillators