Enhanced nonlinear quantum metrology with weakly coupled solitons and particle losses
arXiv:2108.03408 · doi:10.1103/PhysRevA.105.012606
Abstract
The estimation of physical parameters with Heisenberg sensitivity and beyond is one of the crucial problems for current quantum metrology. However, unavoidable lossy effect is commonly believed to be the main obstacle when applying fragile quantum states. To utilize the lossy quantum metrology, we offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg (up to 1/N^3) scaling levels in the framework of the linear and nonlinear metrology approaches, respectively. The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe, i.e, the entangled Fock (N00N-like) state, beyond the superfluid-Mott insulator quantum phase transition point. We illustrate that such states are close to the optimal ones even with moderate losses. The enhancement of phase estimation accuracy remains feasible both for the linear and nonlinear metrologies with the SJJs, and allows further improvement for the current experiments performed with atomic condensate solitons with a mesoscopic number of particles.
References in corpus (36)
- Quantum sensing
- Feshbach Resonances in Ultracold Gases
- Formation and Propagation of Matter Wave Soliton Trains
- Quantum metrology with nonclassical states of atomic ensembles
- Formation of a Matter-Wave Bright Soliton
- Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Nonlinear atom interferometer surpasses classical precision limit
- Quantum metrology from a quantum information science perspective
- Quantum limits in optical interferometry
- Optimal Quantum Phase Estimation
- A Quantum Rosetta Stone for Interferometry
- Quantum Superposition States of Bose-Einstein Condensates
- Interferometry with Bose-Einstein Condensates in Microgravity
- Detecting inertial effects with airborne matter-wave interferometry
- Space-borne Bose-Einstein condensation for precision interferometry
- Quantum phase estimation with lossy interferometers
- Collisions of matter-wave solitons
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- Quantum optical technologies for metrology, sensing and imaging
- Dynamics of a two-mode Bose-Einstein condensate beyond mean-field theory
- STE-QUEST - Test of the Universality of Free Fall Using Cold Atom Interferometry
- Frequency-Dependent Squeezing for Advanced LIGO
- Real-world Quantum Sensors: Evaluating Resources for Precision Measurement
- Quantum Fisher information for density matrices with arbitrary ranks
- Nonlinear quantum metrology of many-body open systems
- Frequency-Dependent Squeezed Vacuum Source for Broadband Quantum Noise Reduction in Advanced Gravitational-Wave Detectors
- Realization of a single Josephson junction for Bose-Einstein condensates
- Ultracold atom interferometry in space
- Coherence and entanglement in the ground-state of a bosonic Josephson junction:from macroscopic Schrödinger cats to separable Fock states
- Nonlinear metrology with a quantum interface
- Quantum metrology beyond Heisenberg limit with entangled matter wave solitons
- Entanglement and phase properties of noisy N00N states
- Mesoscopic quantum superposition states of weakly-coupled matter-wave solitons
- From short-time diffusive to long-time ballistic dynamics: the unusual center-of-mass motion of quantum bright solitons
- Superballistic center-of-mass motion in one-dimensional attractive Bose gases: Decoherence-induced Gaussian random walks in velocity space