Nonlinear interferometry beyond classical limit facilitated by cyclic dynamics
arXiv:2111.00793 · doi:10.1038/s41567-021-01441-7
Abstract
Time-reversed evolution has substantial implications in physics, including prominent applications in refocusing of classical waves or spins and fundamental researches such as quantum information scrambling. In quantum metrology, nonlinear interferometry based on time reversal protocols supports entanglement-enhanced measurements without requiring low-noise detection. Despite the broad interest in time reversal, it remains challenging to reverse the quantum dynamics of an interacting many-body system as is typically realized by an (effective) sign-flip of the system's Hamiltonian. Here, we present an approach that is broadly applicable to cyclic systems for implementing nonlinear interferometry without invoking time reversal. Inspired by the observation that the time-reversed dynamics drives a system back to its starting point, we propose to accomplish the same by slaving the system to travel along a 'closed-loop' instead of explicitly tracing back its antecedent path. Utilizing the quasi-periodic spin mixing dynamics in a three-mode Rb atom spinor condensate, we implement such a 'closed-loop' nonlinear interferometer and achieve a metrological gain of decibels over the classical limit for a total of 26500 atoms. Our approach unlocks the high potential of nonlinear interferometry by allowing the dynamics to penetrate into deep nonlinear regime, which gives rise to highly entangled non-Gaussian state. The idea of bypassing time reversal may open up new opportunities in the experimental investigation of researches that are typically studied by using time reversal protocols.
arXiv comment12 pages, 7 figures
References in corpus (40)
- Quantum-enhanced measurements: beating the standard quantum limit
- Machine learning and the physical sciences
- Quantum metrology with nonclassical states of atomic ensembles
- Black holes and the butterfly effect
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Decay of Loschmidt Echo Enhanced by Quantum Criticality
- Quantum spins mixing in spinor Bose-Einstein condensates
- Measuring out-of-time-order correlations and multiple quantum spectra in a trapped ion quantum magnet
- Twin matter waves for interferometry beyond the classical limit
- Fisher Information and entanglement of non-Gaussian spin states
- Coherent spinor dynamics in a spin-1 Bose condensate
- Verified Quantum Information Scrambling
- Spin-Nematic Squeezed Vacuum in a Quantum Gas
- Entanglement-Enhanced Optical Atomic Clock
- Detecting multiparticle entanglement of Dicke states
- Deterministic entanglement generation from driving through quantum phase transitions
- Approaching the Heisenberg limit without single-particle detection
- Quantum-Enhanced Sensing Based on Time Reversal of Nonlinear Dynamics
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- Quantum amplification of mechanical oscillator motion
- Quantum state magnification
- Coherent spin mixing dynamics in a spin-1 atomic condensate
- Detection loss tolerant supersensitive phase measurement with an SU(1,1) interferometer
- Measurements with prediction and retrodiction on the collective spin of 10^{11} atoms beat the standard quantum limit
- Loschmidt Echo for quantum metrology
- Experimental Observation of Equilibrium and Dynamical Quantum Phase Transitions via Out-of-Time-Ordered Correlators
- Detecting large quantum Fisher information with finite measurement precision
- Beating the classical precision limit with spin-1 Dicke state of more than 10000 atoms
- Pumped-up SU(1,1) interferometry
- Recurrences in an isolated quantum many-body system
- Spin-mixing Interferometry with Bose-Einstein Condensates
- Metrological Nonlinear Squeezing Parameter
- Accurate Atom Counting in Mesoscopic Ensembles
- Non-equilibrium dynamics of an unstable quantum pendulum
- Probing spin correlations in a Bose-Einstein condensate near the single atom level
- Decay and recurrence of non-Gaussian correlations in a quantum many-body system
- Faster State Preparation across Quantum Phase Transition Assisted by Reinforcement Learning
- Detecting out-of-time-order correlations via quasi-adiabatic echoes as a tool to reveal quantum coherence in equilibrium quantum phase transitions
- Active SU(1,1) atom interferometry
Cited by in corpus (18)
- Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
- Strong quantum metrological limit from many-body physics
- Entanglement-Enhanced Optical Atomic Clocks
- Minutes-scale Schr{ö}dinger-cat state of spin-5/2 atoms
- Detection of entangled states supported by reinforcement learning
- Quantum delocalization on correlation landscape: The key to exponentially fast multipartite entanglement generation
- Spin Squeezing with Arbitrary Quadratic Collective-Spin Interaction
- Cyclic nonlinear interferometry with entangled non-Gaussian spin states
- A generalized effective spin-chain formalism for strongly interacting spinor gases in optical lattice
- Enhancing Dynamic Range of Sub-Quantum-Limit Measurements via Quantum Deamplification
- Achieving quantum metrological performance and exact Heisenberg limit precision through superposition of -spin coherent states
- Controlling atomic spin-mixing via multiphoton transitions in a cavity
- Joint Estimation of a Two-Phase Spin Rotation beyond Classical Limit
- Quantum Signatures of Topological Phase in Bosonic Quadratic System
- Precision measurement for open systems by non-hermitian linear response
- Excessive precision compromises accuracy even with unlimited resources due to the trade-off in quantum metrology
- Manifold formation and crossings of ultracold lattice spinor atoms in the intermediate interaction regime
- Multisetting protocol for Bell correlated states detection with spin- systems