SU(2) hyper-clocks: quantum engineering of spinor interferences for time and frequency metrology

• URL: http://arxiv.org/abs/2109.13571v9
• Date: Mon, 9 May 2022 03:20:26 GMT
• Title: SU(2) hyper-clocks: quantum engineering of spinor interferences for time and frequency metrology
• Authors: T. Zanon-Willette, D. Wilkowski, R. Lefevre, A.V. Taichenachev, V.I. Yudin
• Abstract summary: Ramsey's method of separated fields was elaborated boosting over many decades metrological performances of atomic clocks. A generalization of this interferometric method is presented replacing the two single coherent excitations by arbitrary composite laser pulses. Hyper-clocks based on three-pulse and five-pulse interrogation protocols are studied and shown to exhibit nonlinear cubic and quintic sensitivities to residual probe-induced light-shifts.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In 1949, Ramsey's method of separated oscillating fields was elaborated boosting over many decades metrological performances of atomic clocks and becoming the standard technique for very high precision spectroscopic measurements. A generalization of this interferometric method is presented replacing the two single coherent excitations by arbitrary composite laser pulses. The rotation of the state vector of a two-level system under the effect of a single pulse is described using the Pauli matrices basis of the SU(2) group. It is then generalized to multiple excitation pulses by a recursive Euler-Rodrigues-Gibbs algorithm describing a composition of rotations with different rotation axes. A general analytical formula for the phase-shift associated with the clock's interferometric signal is derived. As illustrations, hyper-clocks based on three-pulse and five-pulse interrogation protocols are studied and shown to exhibit nonlinear cubic and quintic sensitivities to residual probe-induced light-shifts. The presented formalism is well suited to optimize composite phase-shifts produced by tailored quantum algorithms in order to design a new generation of optical frequency standards and robust engineering control of atomic interferences in AMO physics with cold matter and anti-matter.

Related papers

• Nonlinear dynamical Casimir effect and Unruh entanglement in waveguide QED with parametrically modulated coupling [83.88591755871734]
  We study theoretically an array of two-level qubits moving relative to a one-dimensional waveguide. When the frequency of this motion approaches twice the qubit resonance frequency, it induces parametric generation of photons and excitation of the qubits. We develop a comprehensive general theoretical framework that incorporates both perturbative diagrammatic techniques and a rigorous master-equation approach.
  arXiv  Detail & Related papers  (2024-08-30T15:54:33Z)
• Multi-mode quantum correlation generated from an unbalanced SU(1,1) interferometer using ultra-short laser pulses as pump [4.650938198826014]
  We theoretically investigate the multi-mode quantum correlation property of the optical fields generated from an unbalanced SU (1,1) interferometer pumped ultra-short pulses. Our result provides a comprehensive theoretical description on the quantum correlations generated from an unbalanced SU (1,1) interferometer within Gaussian system range.
  arXiv  Detail & Related papers  (2023-09-05T05:46:26Z)
• Hyper-entanglement between pulse modes and frequency bins [101.18253437732933]
  Hyper-entanglement between two or more photonic degrees of freedom (DOF) can enhance and enable new quantum protocols. We demonstrate the generation of photon pairs hyper-entangled between pulse modes and frequency bins.
  arXiv  Detail & Related papers  (2023-04-24T15:43:08Z)
• Enhancing strontium clock atom interferometry using quantum optimal control [0.09786690381850353]
  We study QOC pulses for strontium clock interferometry and demonstrate their advantage over basic square pulses. This could improve the scale of large momentum transfer in Sr clock interferometers, paving the way to achieve scientific goals.
  arXiv  Detail & Related papers  (2022-07-26T23:56:33Z)
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
  We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
  arXiv  Detail & Related papers  (2022-07-07T09:39:40Z)
• Frequency combs with parity-protected cross-correlations from dynamically modulated qubit arrays [117.44028458220427]
  We develop a general theoretical framework to dynamically engineer quantum correlations in the frequency-comb emission from an array of superconducting qubits in a waveguide. We demonstrate, that when the resonance of the two qubits are periodically modulated with a $pi$ phase shift, it is possible to realize simultaneous bunching and antibunching in cross-correlations of the scattered photons from different sidebands.
  arXiv  Detail & Related papers  (2022-03-01T13:12:45Z)
• Floquet dynamical quantum phase transitions under synchronized periodic driving [0.0]
  We study a generic class of fermionic two-band models under synchronized periodic driving. The synchronized drive is found to produce nonperiodic patterns of dynamical quantum phase transitions. A blueprint for an experiment built around laser-trapped circular Rydberg atoms is proposed.
  arXiv  Detail & Related papers  (2021-11-18T19:42:46Z)
• Quantum interferometry for rotation sensing in an optical microresonator [0.6645111950779664]
  We realize an effective interferometry with SU(2) algebraic structure. We find that the estimate accuracy for the angular velocity of the rotation can achieve and even break the Heisenberg limit. We hope that our investigation will be useful in the design of a quantum gyroscope based on spinning resonators.
  arXiv  Detail & Related papers  (2021-03-18T03:58:13Z)
• Controlled coherent dynamics of [VO(TPP)], a prototype molecular nuclear qudit with an electronic ancilla [50.002949299918136]
  We show that [VO(TPP)] (vanadyl tetraphenylporphyrinate) is a promising system suitable to implement quantum computation algorithms. It embeds an electronic spin 1/2 coupled through hyperfine interaction to a nuclear spin 7/2, both characterized by remarkable coherence.
  arXiv  Detail & Related papers  (2021-03-15T21:38:41Z)
• Ultrafast and Strong-Field Physics in Graphene-Like Crystals: Bloch Band Topology and High-Harmonic Generation [0.0]
  This letter introduces a theoretical framework for the nonperturbative electron dynamics in two-dimensional (2D) crystalline solids induced by the few-cycle and strong-field optical lasers. In our theoretical experiment on 2D materials in the strong-field optical regime, we show that Bloch band topology and broken symmetry manifest themselves in several ways.
  arXiv  Detail & Related papers  (2021-01-10T22:32:44Z)
• Waveguide quantum optomechanics: parity-time phase transitions in ultrastrong coupling regime [125.99533416395765]
  We show that the simplest set-up of two qubits, harmonically trapped over an optical waveguide, enables the ultrastrong coupling regime of the quantum optomechanical interaction. The combination of the inherent open nature of the system and the strong optomechanical coupling leads to emerging parity-time (PT) symmetry. The $mathcalPT$ phase transition drives long-living subradiant states, observable in the state-of-the-art waveguide QED setups.
  arXiv  Detail & Related papers  (2020-07-04T11:02:20Z)

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.