Cooperatively-enhanced precision of hybrid light-matter sensors

Abstract

We consider a hybrid system of matter and light as a sensing device and quantify the role of cooperative effects. The latter generically enhance the precision with which modifications of the effective light-matter coupling constant can be measured. In particular, considering a fundamental model of $N$ qubits coupled to a single electromagnetic mode, we show that the ultimate bound for the precision shows double-Heisenberg scaling: $\Delta \theta \propto 1/(Nn)$, with $N$ and $n$ being the number of qubits and photons, respectively. Moreover, even using classical states and measuring only one subsystem, a Heisenberg-times-shot-noise scaling, i.e. $1/(N\sqrt{n})$ or $1/(n\sqrt{N})$, is reached. As an application, we show that a Bose-Einstein condensate trapped in a double-well potential within an optical cavity can detect the gravitational acceleration $g$ with the relative precision of $\Delta g/g\simeq 10^{-9}{\text{Hz}}^{-1/2}$. The analytical approach presented in this study takes into account the leakage of photons through the cavity mirrors, and allows to determine the sensitivity when $g$ is inferred via measurements on atoms or photons.

arXiv comment13 pages, 3 figures

References in corpus (61)

• The Quantum Internet
• Cavity Optomechanics
• Quantum-enhanced measurements: beating the standard quantum limit
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quantum state transfer and entanglement distribution among distant nodes in a quantum network
• Introduction to Quantum Noise, Measurement and Amplification
• Optical Magnetometry
• Quantum metrology with nonclassical states of atomic ensembles
• Atom Interferometers
• Quantum interface between light and atomic ensembles
• Nonlinear atom interferometer surpasses classical precision limit
• An Elementary Quantum Network of Single Atoms in Optical Cavities
• Atom chip based generation of entanglement for quantum metrology
• Entanglement, Non-linear Dynamics, and the Heisenberg Limit
• Squeezing and entanglement in a Bose-Einstein condensate
• The elusive Heisenberg limit in quantum enhanced metrology
• Implementation of Cavity Squeezing of a Collective Atomic Spin
• Supersolid formation in a quantum gas breaking continuous translational symmetry
• Resolved-sideband cooling and measurement of a micromechanical oscillator close to the quantum limit
• Twin matter waves for interferometry beyond the classical limit
• Fisher Information and entanglement of non-Gaussian spin states
• Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit
• Magnetic sensitivity beyond the projection noise limit by spin squeezing
• Entanglement-Enhanced Optical Atomic Clock
• Integrated Mach-Zehnder interferometer for Bose-Einstein condensates
• Interaction-based quantum metrology showing scaling beyond the Heisenberg limit
• Deterministic entanglement generation from driving through quantum phase transitions
• Squeezed-Light Optical Magnetometry
• Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
• High-accuracy inertial measurements with cold-atom sensors
• Twin-atom beams
• Entanglement-assisted atomic clock beyond the projection noise limit
• Ultracold atoms in optical lattices generated by quantized light fields
• Conditional Spin-Squeezing of a Large Ensemble via the Vacuum Rabi Splitting
• Observation of atom pairs in spontaneous four wave mixing of two colliding Bose-Einstein Condensates
• Demonstration of a Tunable-Bandwidth White Light Interferometer using Anomalous Dispersion in Atomic Vapor
• Mechanically Detecting and Avoiding the Quantum Fluctuations of a Microwave Field
• Pumped-up SU(1,1) interferometry
• 0.75 atoms improve the clock signal of 10,000 atoms
• Atom interferometry in an optical cavity
• Violation of the Cauchy-Schwarz inequality with matter waves
• High Precision, Quantum-Enhanced Gravimetry with a Bose-Einstein Condensate
• Improving cold-atom sensors with quantum entanglement: Prospects and challenges
• Squeezing on momentum states for atom interferometry
• Driven-Dissipative Supersolid in a Ring Cavity
• Tunable source of correlated atom beams
• A strong Bell correlation witness between spatially separated pairs of atoms
• Squeezed-light-enhanced atom interferometry below the standard quantum limit
• Bayesian feedback control of a two-atom spin-state in an atom-cavity system
• A supersolid-based gravimeter in a ring cavity
• Information recycling beam-splitters for atom-interferometry with enhanced sensitivity
• Heisenberg Limit Superradiant Superresolving Metrology
• Heisenberg-limited metrology with information recycling
• Non-destructive cavity QED probe of Bloch oscillations in a gas of ultracold atoms
• Backaction noise produced via cavity-aided nondemolition measurement of an atomic clock state
• A cavity-QED protocol for precise field sensing in the optical domain
• Generation of Atom-Light Entanglement in an Optical Cavity for Quantum Enhanced Atom-Interferometery
• Backaction-Driven Transport of Bloch Oscillating Atoms in Ring Cavities
• Superradiant Raman Laser Magnetometer
• Tunneling dynamics of bosonic Josephson junctions assisted by a cavity field
• Enhancing interferometric sensitivity by non-classical light from quantum non-demolition measurements in cavity QED