Perturbative operator approach to high-precision light-pulse atom interferometry

Abstract

Light-pulse atom interferometers are powerful quantum sensors, however, their accuracy for example in tests of the weak equivalence principle is limited by various spurious influences like magnetic stray fields or blackbody radiation. Pushing the accuracy therefore requires a detailed assessment of the size of such deleterious effects. Here, we present a systematic operator expansion to obtain phase shifts and contrast analytically in powers of the perturbation. The result can either be employed for robust straightforward order-of-magnitude estimates or for rigorous calculations. Together with general conditions for the validity of the approach, we provide a particularly useful formula for the phase including wave-packet effects.

References in corpus (23)

• Measurement of the fine-structure constant as a test of the Standard Model
• Quantum Test of the Universality of Free Fall
• Atomic Interferometer with Amplitude Gratings of Light and its Applications to Atom Based Tests of the Equivalence Principle
• Test of Equivalence Principle at $10^{-8}$ Level by a Dual-species Double-diffraction Raman Atom Interferometer
• Phase shift in atom interferometry due to spacetime curvature
• Test of Einstein Equivalence Principle for 0-spin and half-integer-spin atoms: Search for spin-gravity coupling effects
• Testing Gravity with Cold-Atom Interferometers
• A Resonant Mode for Gravitational Wave Detectors based on Atom Interferometry
• Circumventing Heisenberg's uncertainty principle in atom interferometry tests of the equivalence principle
• Double Bragg diffraction: A tool for atom optics
• Overcoming loss of contrast in atom interferometry due to gravity gradients
• Representation-free description of light-pulse atom interferometry including non-inertial effects
• Attractive force on atoms due to blackbody radiation
• Interference of Clocks: A Quantum Twin Paradox
• Exact phase shifts for atom interferometry
• A scalable high-performance magnetic shield for Very Long Baseline Atom Interferometry
• Systematic Magnus-based approach for suppressing leakage and non-adiabatic errors in quantum dynamics
• Phase shift in atom interferometers: corrections for non-quadratic potentials and finite-duration laser pulses
• Light-pulse atom interferometry
• Attractive Optical Forces from Blackbody Radiation
• Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
• Analytical solutions of basic models in quantum optics
• Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation

Cited by in corpus (15)

• Gravitational Redshift Tests with Atomic Clocks and Atom Interferometers
• Atom-interferometric test of the universality of gravitational redshift and free fall
• Resolution of the Co-Location Problem in Satellite Quantum Tests of the Universality of Free Fall
• Gravity field modelling for the Hannover 10m atom interferometer
• Universality-of-clock-rates test using atom interferometry with $T^3$ scaling
• Light propagation and atom interferometry in gravity and dilaton fields
• Optimal baseline exploitation in vertical dark-matter detectors based on atom interferometry
• Clock Transitions Versus Bragg Diffraction in Atom-interferometric Dark-matter Detection
• Generalized gravity-gradient mitigation scheme
• Quantum field theory for multipolar composite bosons with mass defect and relativistic corrections
• Finite Pulse-Time Effects in Long-Baseline Quantum Clock Interferometry
• Matter waves and clocks do not observe uniform gravitational fields
• Unified laboratory-frame analysis of atomic gravitational-wave sensors
• Bose-Einstein condensates in microgravity and fundamental tests of gravity
• Local Measurement Scheme of Gravitational Curvature using Atom Interferometers