Non-Markovian effect on quantum optical metrology under dissipative environment
arXiv:2002.03378 · doi:10.1103/PhysRevA.101.022115
Abstract
Quantum metrology utilizes quantum effects to reach higher precision measurements of physical quantities compared with their classical counterparts. However the ubiquitous decoherence obstructs its application. Recently, non-Markovian effects are shown to be effective in performing quantum optical metrology under locally dissipative environments\cite{PhysRevLett.123.040402}. However, the mechanism is still rather hazy. Here, we uncover the reason why forming a bound state can protect the quantumness against a dissipative ambient via the quantum Fisher information of entangled coherent states. An exact analytical expression of the quantum Fisher information in the long-encoding-time condition is derived, which reveals that the dynamics of precision can asymptotically reach the ideal-case-promised one easily when the average photon number is small. Meanwhile, the scaling exhibits a transition from the weak Heisenberg limit to the sub-classical limit with the increase of average photon number. Our work provides a recipe to realize ultrasensitive measurements in the presence of noise by utilizing non-Markovian effects.
7 pages, 3 figures
References in corpus (71)
- Quantum sensing
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Quantum metrology with nonclassical states of atomic ensembles
- Quantum Interferometric Optical Lithography: Exploiting Entanglement to Beat The Diffraction Limit
- Non-Markovian dynamics in open quantum systems
- Quantum Non-Markovianity: Characterization, Quantification and Detection
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Quantum spin squeezing
- Beating the Standard Quantum Limit with Four Entangled Photons
- The elusive Heisenberg limit in quantum enhanced metrology
- A quantum network of clocks
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Quantum Metrology in Non-Markovian Environments
- Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
- Quantum metrology with entangled coherent states
- Optimal Quantum Phase Estimation
- Quantum Illumination at the Microwave Wavelengths
- Microwave Quantum Illumination
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Quantum Metrology with Two-Mode Squeezed Vacuum: Parity Detection Beats the Heisenberg Limit
- First Long-Term Application of Squeezed States of Light in a Gravitational-Wave Observatory
- Mach-Zehnder Interferometry at the Heisenberg Limit with coherent and squeezed-vacuum light
- General non-Markovian dynamics of open quantum systems
- Concepts of quantum non-Markovianity: a hierarchy
- Quantum phase estimation with lossy interferometers
- Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
- Quantum Imaging
- Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
- Quantum harmonic oscillator state synthesis by reservoir engineering
- Entangled Fock states for Robust Quantum Optical Metrology, Imaging, and Sensing
- Deterministic entanglement generation from driving through quantum phase transitions
- Quantum electrodynamics near a photonic band-gap
- General optimality of the Heisenberg limit for quantum metrology
- Quantum Metrology: Dynamics vs. Entanglement
- Quantum Fisher information of entangled coherent state in the presence of photon losses: exact solution
- Observation of non-Markovian micro-mechanical Brownian motion
- Increasing sensing resolution with error correction
- Optimal quantum-enhanced interferometry using a laser power source
- Optimized quantum sensing with a single electron spin using real-time adaptive measurements
- The ultimate precision limits for noisy frequency estimation
- Ultimate precision bound of quantum and sub-wavelength imaging
- Non-Markovian entanglement dynamics of noisy continuous variable quantum channels
- Measuring protein concentration with entangled photons
- 0.75 atoms improve the clock signal of 10,000 atoms
- Mechanism of entanglement preservation
- Mesoscopic Spin-Boson Models of Trapped Ions
- Spontaneous Emission in a Matter-Wave Open Quantum System
- Non-Markovianity, Loschmidt echo and criticality: a unified picture
- Quantum-limited metrology with product states
- Experimental observation of weak non-Markovianity
- Effects of photon losses on phase estimation near the Heisenberg limit using coherent light and squeezed vacuum
- Loss-Induced Limits to Phase Measurement Precision with Maximally Entangled States
- Quantum metrology for non-linear phase shifts with entangled coherent states
- Quantum-enhanced sensing using non-classical spin states of a highly magnetic atom
- Robust quantum metrological schemes based on protection of quantum Fisher information
- Dynamical role of system-environment correlations in non-Markovian dynamics
- Non-Markovian behavior of small and large complex quantum systems
- Exact non-Markovian cavity dynamics strongly coupled to a reservoir
- Retrieving ideal precision in noisy quantum optical metrology
- Subdiffraction-limited quantum imaging within a living cell
- All-optical non-Markovian stroboscopic quantum simulator
- Entanglement enhanced atomic gyroscope
- Adaptive phase estimation with two-mode squeezed-vacuum and parity measurement
- Canonical versus noncanonical equilibration dynamics of open quantum systems
- Multi-mode Entanglement is Detrimental to Lossy Optical Quantum Metrology
- Quantum metrology in local dissipative environments
- Robust quantum enhanced phase estimation in a multimode interferometer
- Frozen Gaussian quantum discord in photonic crystal cavity array system
- Breaking the weak Heisenberg limit