Sensing atomic superfluid rotation beyond the standard quantum limit
arXiv:2402.19123 · doi:10.1103/PhysRevA.110.053514
Abstract
Atomic superfluids formed using Bose-Einstein condensates (BECs) in a ring trap are currently being investigated in the context of superfluid hydrodynamics, quantum sensing and matter-wave interferometry. The characterization of the rotational properties of such superfluids is important, but can presently only be performed by using optical absorption imaging, which completely destroys the condensate. Recent studies have proposed coupling the ring BEC to optical cavity modes carrying orbital angular momentum to make minimally destructive measurements of the condensate rotation. The sensitivity of these proposals, however, is bounded below by the standard quantum limit set by the combination of laser shot noise and radiation pressure noise. In this work, we provide a theoretical framework that exploits the fact that the interaction between the scattered modes of the condensate and the light reduces to effective optomechanical equations of motion. We present a detailed theoretical analysis to demonstrate that the use of squeezed light and backaction evasion techniques allows the angular momentum of the condensate to be sensed with noise well below the standard quantum limit. Our proposal is relevant to atomtronics, quantum sensing and quantum information.
16 pages, 13 figures
References in corpus (42)
- Many-Body Physics with Ultracold Gases
- Cavity Optomechanics
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Introduction to Quantum Noise, Measurement and Amplification
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- Cavity Opto-Mechanics with a Bose-Einstein Condensate
- Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
- Superflow in a toroidal Bose-Einstein condensate: an atom circuit with a tunable weak link
- Strong Optomechanical Squeezing of Light
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- Driving phase slips in a superfluid atom circuit with a rotating weak link
- Back-action evasion and squeezing of a mechanical resonator using a cavity detector
- Experimental realization of Josephson junctions for an Atom SQUID
- Quantum back action evading measurement of motion in a negative mass reference frame
- Persistent currents in spinor condensates
- Coherent Quantum-Noise Cancellation for Optomechanical Sensors
- Realtime magnetic field sensing and imaging using a single spin in diamond
- Atomtronic circuits: from many-body physics to quantum technologies
- Time-averaged adiabatic ring potential for ultracold atoms
- Evading quantum mechanics
- A ring trap for ultracold atoms
- Two-mode back-action-evading measurements in cavity optomechanics
- Dynamical Coupling between a Bose-Einstein Condensate and a Cavity Optical Lattice
- Approaching the Standard Quantum Limit of Mechanical Torque Sensing
- Collective Excitation Interferometry with a Toroidal Bose-Einstein Condensate
- Crystallization of Bosonic Quantum Hall States
- Optical Backaction-Evading Measurement of a Mechanical Oscillator
- Measuring the stability of fundamental constants with a network of clocks
- Improving broadband displacement detection with quantum correlations
- Minimally destructive, Doppler measurement of a quantized, superfluid flow
- Prethermalization in one-dimensional Bose gases: description by a stochastic Ornstein-Uhlenbeck process
- Observability of radiation pressure shot noise in optomechanical systems
- Bragg Spectroscopy of Vortex Lattices in Bose-Einstein condensates
- Floquet approach to bichromatically driven cavity optomechanical systems
- Conditional dynamics of optomechanical two-tone backaction-evading measurements
- Quantum sensing using imbalanced counter-rotating Bose--Einstein condensate modes
- Quantum Langevin equations for optomechanical systems
- Interacting atomic interferometry for rotation sensing approaching the Heisenberg Limit
- Stochastic phase slips in toroidal Bose-Einstein condensates
- Monitoring currents in cold-atom circuits
- Optomechanical dual-beam backaction-evading measurement beyond the rotating-wave approximation
- Atomic clocks highly sensitive to the variation of the fine structure constant based on Hf II, Hf IV, and W VI ions