Back-action evading measurement of the collective mode of a Bose-Einstein condensate

Abstract

In this paper, we investigate theoretically the back-action evading measurement of the collective mode of an interacting atomic Bose-Einstein condensate (BEC) trapped in an optical cavity which is driven coherently by a pump laser with a modulated amplitude. It is shown that for a specified kind of amplitude modulation of the driving laser, one can measure a generalized quadrature of the collective mode of the BEC indirectly through the output cavity field with a negligible backaction noise in the good-cavity limit. Nevertheless, the on-resonance added noise of measurement is suppressed below the standard quantum limit (SQL) even in the bad cavity limit. Moreover, the measurement precision can be controlled through the s-wave scattering frequency of atomic collisions.

arXiv comment11 pages, 5 figures

References in corpus (42)

• Introduction to Quantum Noise, Measurement and Amplification
• Dynamics of collapsing and exploding Bose-Einstein condensates
• Precision Measurement of the Newtonian Gravitational Constant Using Cold Atoms
• Conversion of conventional gravitational-wave interferometers into QND interferometers by modifying their input and/or output optics
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Gently modulating opto-mechanical systems
• Back-action evasion and squeezing of a mechanical resonator using a cavity detector
• Feshbach resonances in rubidium 87: Precision measurement and analysis
• Back-action Evading Measurements of Nanomechanical Motion
• Quantum back action evading measurement of motion in a negative mass reference frame
• Coherent Quantum-Noise Cancellation for Optomechanical Sensors
• Quantum Non-Demolition Detection of Strongly Correlated Systems
• Macroscopic quantum computation using Bose-Einstein condensates
• High Bandwidth Atomic Magnetometery with Continuous Quantum Non-demolition Measurements
• Evading quantum mechanics
• Cold atom gravimetry with a Bose-Einstein Condensate
• Quantum back-action evading measurement of collective mechanical modes
• Two-mode back-action-evading measurements in cavity optomechanics
• Force sensing based on coherent quantum noise cancellation in a hybrid optomechanical cavity with squeezed-vacuum injection
• Quantum-Limited Position Detection and Amplification: A Linear Response Perspective
• Dynamical Coupling between a Bose-Einstein Condensate and a Cavity Optical Lattice
• Optical Backaction-Evading Measurement of a Mechanical Oscillator
• Overcoming the SQL in gravitational wave detectors using spin systems with negative effective mass
• Force sensing in hybrid Bose-Einstein condensate optomechanics based on parametric amplification
• Complex Squeezing and Force Measurement Beyond the Standard Quantum Limit
• Optomechanics with two-phonon driving
• Effects of quadratic coupling and squeezed vacuum injection in an optomechanical cavity assisted with a Bose-Einstein condensate
• Certified quantum non-demolition measurement of a macroscopic material system
• Controllability of optical bistability, cooling and entanglement in hybrid cavity optomechanical systems by nonlinear atom-atom interaction
• Controllable generation of photons and phonons in a coupled BEC-optomechanical-cavity via the parametric dynamical Casimir effect
• Floquet approach to bichromatically driven cavity optomechanical systems
• Nonlinear effects of atomic collisions on the optomechanical properties of a Bose-Einstein condensate in an optical cavity
• Revealing hidden quantum correlations in an electromechanical measurement
• Intrinsic cross-Kerr nonlinearity in an optical cavity containing an interacting Bose-Einstein condensate
• Two-Tone Optomechanical Instability and Its Fundamental Implications for Backaction-Evading Measurements
• Strong quadrature squeezing and quantum amplification in a coupled Bose-Einstein condensate- optomechanical cavity via coherent modulation
• Split-sideband spectroscopy in slowly modulated optomechanics
• Controlling steady-state bipartite entanglements and quadrature squeezing in a membrane-in-the-middle optomechanical system with two Bose-Einstein condensates
• The effect of atomic collisions on the quantum phase transition of a Bose-Einstein condensate inside an optical cavity
• Increasing the sensitivity of future gravitational-wave detectors with double squeezed-input
• Phase noise and squeezing spectra of the output field of an optical cavity containing an interacting Bose-Einstein condensate
• Optomechanical back-action evading measurement without parametric instability

Cited by in corpus (4)

• Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
• Homodyne coherent quantum noise cancellation in a hybrid optomechanical force sensor
• A Green's function approach to the linear response of a driven dissipative optomechanical system
• Dynamics of a hybrid optomechanical system in the framework of the generalized linear response theory