Quantum Nondemolition Squeezing of a Nanomechanical Resonator

Abstract

We show that the nanoresonator position can be squeezed significantly below the ground state level by measuring the nanoresonator with a quantum point contact or a single-electron transistor and applying a periodic voltage across the detector. The mechanism of squeezing is basically a generalization of quantum nondemolition measurement of an oscillator to the case of continuous measurement by a weakly coupled detector. The quantum feedback is necessary to prevent the ``heating'' due to measurement back-action. We also discuss a procedure of experimental verification of the squeezed state.

9 pages, 3 figures

References in corpus (20)

• Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
• Feedback-control of quantum systems using continuous state-estimation
• Entanglement and decoherence of a micromechanical resonator via coupling to a Cooper box
• Measurements with a noninvasive detector and dephasing mechanism
• Continuous quantum measurement of a double dot
• Continuous weak measurement of quantum coherent oscillations
• Metastability and the Casimir Effect in Micromechanical Systems
• Ground state cooling of mechanical resonators
• Feedback cooling of a nanomechanical resonator
• Classical dynamics of a nano-mechanical resonator coupled to a single-electron transistor
• Quantum State Diffusion, Density Matrix Diagonalization and Decoherent Histories: A Model
• Dynamics of a mesoscopic qubit under continuous quantum measurement
• Measurement induced quantum-classical transition
• Quantum feedback control of a solid-state qubit
• Sensitivity of a micromechanical displacement detector based on the radio-frequency single-electron transistor
• Quantum nondemolition measurements of a qubit
• Nonequilibrium Fluctuations and Decoherence in Nanomechanical Devices Coupled to the Tunnel Junction
• Simple quantum feedback of a solid-state qubit
• Nonideal quantum detectors in Bayesian formalism
• Nondemolition measurements of a single quantum spin using Josephson oscillations

Cited by in corpus (8)

• Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
• Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
• Controlling Quasibound States in 1D Continuum Through Electromagnetic Induced Transparency Mechanism
• Kerr nonlinearities and nonclassical states with superconducting qubits and nanomechanical resonators
• Continuous quantum feedback of coherent oscillations in a solid-state qubit
• Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation
• Quantum coherence control of solid-state charge qubit by means of a suboptimal feedback algorithm
• Structure of the Phase in Pure Two-Mode Gaussian States