Characterization of Errors in Interferometry with Entangled Atoms
- URL: http://arxiv.org/abs/2007.03306v2
- Date: Tue, 11 Aug 2020 19:23:27 GMT
- Title: Characterization of Errors in Interferometry with Entangled Atoms
- Authors: Constantin Brif, Brandon P. Ruzic, Grant W. Biedermann
- Abstract summary: We study the effects of error sources that may limit the sensitivity of atom interferometry devices.
Errors include errors in the preparation of the initial entangled state, imperfections in the laser pulses, momentum spread of the initial atomic wave packet, measurement errors, spontaneous emission, and atom loss.
Based on the performed analysis, entanglement-enhanced atom interferometry appears to be feasible with existing experimental capabilities.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Recent progress in generating entangled spin states of neutral atoms provides
opportunities to advance quantum sensing technology. In particular,
entanglement can enhance the performance of accelerometers and gravimeters
based on light-pulse atom interferometry. We study the effects of error sources
that may limit the sensitivity of such devices, including errors in the
preparation of the initial entangled state, imperfections in the laser pulses,
momentum spread of the initial atomic wave packet, measurement errors,
spontaneous emission, and atom loss. We determine that, for each of these
errors, the expectation value of the parity operator $\Pi$ has the general
form, $\overline{\langle \Pi \rangle} = \Pi_0 \cos( N \phi )$, where $\phi$ is
the interferometer phase and $N$ is the number of atoms prepared in the
maximally entangled Greenberger--Horne--Zeilinger state. Correspondingly, the
minimum phase uncertainty has the general form, $\Delta\phi = (\Pi_0 N)^{-1}$.
Each error manifests itself through a reduction of the amplitude of the parity
oscillations, $\Pi_0$, below the ideal value of $\Pi_0 = 1$. For each of the
errors, we derive an analytic result that expresses the dependence of $\Pi_0$
on error parameter(s) and $N$, and also obtain a simplified approximate
expression valid when the error is small. Based on the performed analysis,
entanglement-enhanced atom interferometry appears to be feasible with existing
experimental capabilities.
Related papers
- Astral: training physics-informed neural networks with error majorants [45.24347017854392]
We argue that residual is, at best, an indirect measure of the error of approximate solution.
Since error majorant provides a direct upper bound on error, one can reliably estimate how close PiNN is to the exact solution.
arXiv Detail & Related papers (2024-06-04T13:11:49Z) - Neural Pfaffians: Solving Many Many-Electron Schrödinger Equations [58.130170155147205]
Neural wave functions accomplished unprecedented accuracies in approximating the ground state of many-electron systems, though at a high computational cost.
Recent works proposed amortizing the cost by learning generalized wave functions across different structures and compounds instead of solving each problem independently.
This work tackles the problem by defining overparametrized, fully learnable neural wave functions suitable for generalization across molecules.
arXiv Detail & Related papers (2024-05-23T16:30:51Z) - Error analysis in large area multi-Raman pulse atom interferometry due to undesired spontaneous decay [0.0]
atom interferometer (which controls the sensitivity) can be increased by providing a larger momentum kick to the atom cloud.
One such atom optics technique involves increasing the number of central $pi-$Raman pulses.
Increased time in the intermediate high energy state results in a higher probability of undesired spontaneous decay and a loss of quantum information.
arXiv Detail & Related papers (2024-03-13T19:09:45Z) - Fundamental limits of metrology at thermal equilibrium [0.0]
We consider the estimation of an unknown parameter $theta$ through a quantum probe at thermal equilibrium.
We find the maximal Quantum Fisher Information attainable via arbitrary $HC$, which provides a fundamental bound on the measurement precision.
arXiv Detail & Related papers (2024-02-09T18:01:45Z) - Coherent collisional decoherence [0.0]
We study the decoherence of a system of $N$ non-interacting heavy particles (atoms) due to coherent scattering with a background gas.
We introduce a new framework for computing the induced phase shift and loss of contrast for arbitrary preparations of $N$-particle quantum states.
We find new phase shifts that are inherently $(Ngeq 2)$-body effects and may be searched for in future experiments.
arXiv Detail & Related papers (2024-02-05T19:00:00Z) - Hamiltonian simulation with random inputs [74.82351543483588]
Theory of average-case performance of Hamiltonian simulation with random initial states.
Numerical evidence suggests that this theory accurately characterizes the average error for concrete models.
arXiv Detail & Related papers (2021-11-08T19:08:42Z) - Rovibrational structure of the Ytterbium monohydroxide molecule and the
$\mathcal{P}$,$\mathcal{T}$-violation searches [68.8204255655161]
The energy gap between levels of opposite parity, $l$-doubling, is of a great interest.
The influence of the bending and stretching modes on the sensitivities to the $mathcalP$,$mathcalT$-violation requires a thorough investigation.
arXiv Detail & Related papers (2021-08-25T20:12:31Z) - Enhanced nonlinear quantum metrology with weakly coupled solitons and
particle losses [58.720142291102135]
We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels.
The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe.
We illustrate that such states are close to the optimal ones even with moderate losses.
arXiv Detail & Related papers (2021-08-07T09:29:23Z) - Asymptotic optimality of twist-untwist protocols for Heisenberg scaling
in atomic interferometry [0.0]
We prove that twist-untwist protocols provide the lowest estimation error among quantum metrology protocols.
We consider all-to-all interactions generated by one-axis twisting.
We show that the error of a twist-untwist protocol can be decreased by a factor of $L$ without an increase in the noise of spin measurement.
arXiv Detail & Related papers (2021-04-13T22:29:26Z) - Heisenberg-limited estimation robust to detector inefficiency in a
multi-parameter Mach-Zehnder network with squeezed light [0.0]
A simple and intuitive geometrical picture of the state evolution is provided by the Wigner functions of the state at each interferometer output channel.
The protocol allows to detect the value of the sum $beta=frac12(varphi_2)+theta_mathrmin-theta_mathrmout$.
arXiv Detail & Related papers (2021-04-06T10:46:29Z) - $\mathcal{P}$,$\mathcal{T}$-odd effects for RaOH molecule in the excited
vibrational state [77.34726150561087]
Triatomic molecule RaOH combines the advantages of laser-coolability and the spectrum with close opposite-parity doublets.
We obtain the rovibrational wave functions of RaOH in the ground electronic state and excited vibrational state using the close-coupled equations derived from the adiabatic Hamiltonian.
arXiv Detail & Related papers (2020-12-15T17:08:33Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.