Squeezing of a nanomechanical resonator by quantum nondemolition measurement and feedback
arXiv:cond-mat/0411617 · doi:10.1103/PhysRevB.71.235407
Abstract
We analyze squeezing of the nanoresonator state produced by periodic measurement of position by a quantum point contact or a single-electron transistor. The mechanism of squeezing is the stroboscopic quantum nondemolition measurement generalized to the case of continuous measurement by a weakly coupled detector. The magnitude of squeezing is calculated for the harmonic and stroboscopic modulations of measurement, taking into account detector efficiency and nanoresonator quality factor. We also analyze the operation of the quantum feedback, which prevents fluctuations of the wavepacket center due to measurement back-action. Verification of the squeezed state can be performed in almost the same way as its preparation; similar procedure can also be used for the force detection with sensitivity beyond the standard quantum limit.
arXiv comment20 pages, 10 eps figures
References in corpus (28)
- 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
- Laser cooling of a nanomechanical resonator mode to its quantum ground state
- Measurements with a noninvasive detector and dephasing mechanism
- Continuous quantum measurement of a double dot
- Selective quantum evolution of a qubit state due to continuous measurement
- 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
- Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering
- 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
- Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
- Measurement induced quantum-classical transition
- Quantum feedback control of a solid-state qubit
- Single-electron Tunneling with Strong Mechanical Feedback
- Sensitivity of a micromechanical displacement detector based on the radio-frequency single-electron transistor
- Quantum computing and quantum measurement with mesoscopic Josephson junctions
- Quantum Nondemolition Measurement of a Kicked Qubit
- Quadratic Quantum Measurements
- Quantum nondemolition measurements of a qubit
- Nonequilibrium Fluctuations and Decoherence in Nanomechanical Devices Coupled to the Tunnel Junction
- Nonideal quantum detectors in Bayesian formalism
- Nondemolition measurements of a single quantum spin using Josephson oscillations
- Quantum Nondemolition Squeezing of a Nanomechanical Resonator
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- Introduction to Quantum Noise, Measurement and Amplification
- Quantum squeezing of motion in a mechanical resonator
- A Straightforward Introduction to Continuous Quantum Measurement
- Cooling a nanomechanical resonator with quantum back-action
- Robust entanglement of a micromechanical resonator with output optical fields
- Back-action evasion and squeezing of a mechanical resonator using a cavity detector
- Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
- Quantum feedback: theory, experiments, and applications
- Arbitrarily large steady-state bosonic squeezing via dissipation
- Modeling and Control of Quantum Systems: An Introduction
- Steady-state Mechanical Squeezing in an Optomechanical System via Duffing Nonlinearity
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- Two-Mode Squeezed States and Entangled States of Two Mechanical Resonators
- Evolutionary Algorithms for Hard Quantum Control
- QND Measurement of Large-Spin Ensembles by Dynamical Decoupling
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- Nonlinear coupling of nano mechanical resonators to Josephson quantum circuits
- Cooling and squeezing the fluctuations of a nanomechanical beam by indirect quantum feedback control
- Parametric coupling between macroscopic quantum resonators
- Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis
- Rapid Ballistic Readout for Flux Qubits
- Effects of quadratic coupling and squeezed vacuum injection in an optomechanical cavity assisted with a Bose-Einstein condensate
- Strong mechanical squeezing in an unresolved-sideband optomechanical system
- Strong mechanical squeezing in a standard optomechanical system by pump modulation
- Twofold mechanical squeezing in a cavity optomechanical system
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- Coherent properties of nano-electromechanical systems
- Quantum evolution in the stroboscopic limit of repeated measurements
- Phonon Squeezing in a Superconducting Molecular Transistor
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- Continuous quantum feedback of coherent oscillations in a solid-state qubit
- Large mechanical squeezing beyond 3dB of hybrid atom-optomechanical systems in highly unresolved sideband regime
- Manipulation of collective quantum states in Bose-Einstein condensates by continuous imaging
- Rapid mechanical squeezing with pulsed optomechanics
- Transition from weak to strong measurements by nonlinear quantum feedback control
- Reading, writing and squeezing the entangled states of two nanomechanical resonators coupled to a SQUID
- Unconditional mechanical squeezing via back-action evading measurements and non-optimal feedback control
- Modulated longitudinal gates on encoded spin-qubits via curvature couplings to a superconducting cavity
- Large and robust mechanical squeezing of optomechanical systems in a highly unresolved sideband regime via Duffing nonlinearity and intracavity squeezed light
- Continuous quantum non-demolition measurement of Fock states of a nanoresonator using feedback-controlled circuit QED
- Shortcuts to Squeezed Thermal States
- Continuous weak measurement and feedback control of a solid-state charge qubit: physical unravelling of non-Lindblad master equation
- Quantum Zeno stabilization in weak continuous measurement of two qubits
- Controlling Statistical Properties of a Cooper Pair Box Interacting with a Nanomechanical Resonator
- Coherently tracking the covariance matrix of an open quantum system
- Certified quantum non-demolition measurement of material systems
- Squeezing of mechanical motion via qubit-assisted control
- Full counting statistics and conditional evolution in a nanoelectromechanical system
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- Response of a mechanical oscillator in an optomechanical cavity driven by a finite bandwidth squeezed vacuum excitation
- A frequency-tunable nanomembrane mechanical oscillator with embedded quantum dots
- Quantum Optimal Control of Squeezing in Cavity Optomechanics
- Mechanical Squeezing via Detuning-Switched Driving
- Hole burning in a nanomechanical resonator coupled to a Cooper pair box
- Squeezing of the mechanical motion and beating 3 dB limit using dispersive optomechanical interactions
- Applications of Feedback Control in Quantum Systems
- Hybrid phase-space--Fock-space approach to evolution of a driven nonlinear resonator
- Quantum limit of measurement and the projection postulate
- Controlling Excitations Inversion of a Cooper Pair Box Interacting with a Nanomechanical Resonator
- Structure of the Phase in Pure Two-Mode Gaussian States
- Emergent Quantum Jumps in a Nano-Electro-Mechanical System