Feynman Diagrams for Matter Wave Interferometry

• URL: http://arxiv.org/abs/2407.11446v1
• Date: Tue, 16 Jul 2024 07:26:19 GMT
• Title: Feynman Diagrams for Matter Wave Interferometry
• Authors: Jonah Glick, Tim Kovachy,
• Abstract summary: We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. We apply the method to compute the response of matter wave interferometers to power law potentials and potentials with an arbitrary spatial dependence.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a new theoretical framework based on Feynman diagrams to compute phase shifts in matter wave interferometry. The method allows for analytic computation of higher order quantum corrections, beyond the traditional semi-classical approximation. These additional terms depend on the finite size of the initial matter wavefunction and/or have higher order dependence on $\hbar$. We apply the method to compute the response of matter wave interferometers to power law potentials and potentials with an arbitrary spatial dependence. The analytic expressions are validated by comparing to numerical simulations, and estimates are provided for the scale of the quantum corrections to the phase shift response to the gravitational field of the earth, anharmonic trapping potentials, and gravitational fields from local proof masses. We find that for certain experimentally feasible parameters, these corrections are large enough to be measured, and could lead to systematic errors if not accounted for. We anticipate these corrections will be especially important for trapped matter wave interferometers and for free-space matter wave interferometers in the presence of proof masses. These interferometers are becoming increasingly sensitive tools for mobile inertial sensing, gravity surveying, tests of gravity and its interplay with quantum mechanics, and searches for dark energy.

Related papers

• Local Measurement Scheme of Gravitational Curvature using Atom Interferometers [0.4124271833765226]
  We present a method in which the differential signal of two co-located interferometers singles out a phase shift proportional to the curvature of the gravitational potential. We numerically simulate such a co-located gradiometric interferometer in the context of the Hannover VLBAI facility.
  arXiv  Detail & Related papers  (2024-09-05T13:29:45Z)
• Quantum Bayesian Inference with Renormalization for Gravitational Waves [1.4555521588662113]
  A hybrid quantum algorithm is proposed to carry out quantum inference of parameters from compact binary coalescences detected in gravitational-wave interferometers. We choose binary black hole (BBH) mergers from LIGO observatories as the first case to test the algorithm, but its application can be extended to more general instances.
  arXiv  Detail & Related papers  (2024-02-29T14:22:16Z)
• Gravitational wave memory and quantum Michelson interferometer [0.0]
  We examined the output of a quantum Michelson interferometer incorporating effects of nonlinear optomechanical interaction and time-varying gravitational fields. Our findings indicate a deviation from the standard relationship between the phase shift of the interferometer's output and the amplitude of gravitational waves.
  arXiv  Detail & Related papers  (2023-12-16T13:58:57Z)
• Enhanced Entanglement in the Measurement-Altered Quantum Ising Chain [46.99825956909532]
  Local quantum measurements do not simply disentangle degrees of freedom, but may actually strengthen the entanglement in the system. This paper explores how a finite density of local measurement modifies a given state's entanglement structure.
  arXiv  Detail & Related papers  (2023-10-04T09:51:00Z)
• Measurement-induced entanglement and teleportation on a noisy quantum processor [105.44548669906976]
  We investigate measurement-induced quantum information phases on up to 70 superconducting qubits. We use a duality mapping, to avoid mid-circuit measurement and access different manifestations of the underlying phases. Our work demonstrates an approach to realize measurement-induced physics at scales that are at the limits of current NISQ processors.
  arXiv  Detail & Related papers  (2023-03-08T18:41:53Z)
• Variational waveguide QED simulators [58.720142291102135]
  Waveguide QED simulators are made by quantum emitters interacting with one-dimensional photonic band-gap materials. Here, we demonstrate how these interactions can be a resource to develop more efficient variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-02-03T18:55:08Z)
• Single-Photon Signal Sideband Detection for High-Power Michelson Interferometers [0.0]
  The Michelson interferometer is a cornerstone of experimental physics. Interferometer precision provides a unique view of the fundamental medium of matter and energy.
  arXiv  Detail & Related papers  (2022-11-08T05:27:15Z)
• Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
  Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
  arXiv  Detail & Related papers  (2022-03-31T13:32:12Z)
• Measuring space-time curvature using maximally path-entangled quantum states [0.0]
  gravitational aspects of quantum experiments performed so far can be explained either within Newtonian gravity or by Einstein's equivalence principle. We show that the entanglement-induced increase in sensitivity also holds for gravitationally-induced phases in Mach-Zehnder interferometers.
  arXiv  Detail & Related papers  (2022-02-25T08:50:58Z)
• 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)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.