pith. sign in

arxiv: 2604.08518 · v1 · submitted 2026-04-09 · ⚛️ physics.optics · cond-mat.quant-gas· physics.atom-ph

Fresnel zone plates for reconfigurable atomic waveguides

Pith reviewed 2026-05-10 16:51 UTC · model grok-4.3

classification ⚛️ physics.optics cond-mat.quant-gasphysics.atom-ph
keywords Fresnel zone platesatomic waveguidesspatial light modulatorsreconfigurable opticsultracold atomsSagnac interferometrydiffraction-limited foci
0
0 comments X

The pith

A single Fresnel zone plate pattern under different spatial light modulator illumination generates multiple reconfigurable atomic waveguides such as rings, arcs, double-rings and lattices.

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

The paper shows how Fresnel zone plates with one-micron resolution patterns can be combined with spatial light modulator control to create dynamic near-field guides for ultracold atoms. The same physical plate produces different structures depending on the illumination pattern, mapping local intensity and global phase directly to the image plane. This hybrid approach overcomes the size limits of modulators alone while retaining the high-resolution focusing of zone plates. The resulting waveguides are smooth and adaptable, which supports their use in atom interferometry setups that need variable paths.

Core claim

Fresnel zone plates with patterns of 1 micron resolution are equivalent to a plano-convex donut lens in which light's local intensity and global phase at the plate map directly onto the image plane. Under different SLM illuminations the same plate therefore produces rings and arcs, double-rings, phase windings and ring lattices, or dynamic combinations of these forms.

What carries the argument

The Fresnel zone plate pattern treated as a plano-convex donut lens whose local intensity and global phase at the plate transfer directly to the image plane.

If this is right

  • The same plate can produce rings and arcs for guiding atoms along curved paths.
  • Double-rings and phase windings become available for more complex atom trapping geometries.
  • Ring lattices and dynamic combinations allow reconfigurable atom networks without changing the physical optic.
  • The resulting smooth near-field waveguides are suitable for Sagnac interferometry with ultracold atoms.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The approach could be extended to create larger-scale or three-dimensional atom guides by stacking or tiling multiple plates.
  • Integration with existing cold-atom vacuum chambers would require only modest changes to the optical setup.
  • Quantitative tests of atom transport fidelity along the generated waveguides would directly test the practical utility for interferometry.

Load-bearing premise

A 1-micron resolution Fresnel zone plate pattern can be fabricated with sufficient accuracy and the spatial light modulator illumination will transfer local intensity and global phase to the image plane without significant aberrations, losses or fabrication errors.

What would settle it

Direct measurement of the intensity and phase profile in the image plane to check whether the predicted ring, arc and lattice structures appear at the expected locations and with the expected contrast when the SLM pattern is changed.

Figures

Figures reproduced from arXiv: 2604.08518 by A. Dorne, A.M. Pike, A.S. Arnold, E. Riis, I.T. MacCuish, L. Pickering, M. Jamieson, M.Y.H. Johnson, P.F. Griffin, V.A. Henderson.

Figure 1
Figure 1. Figure 1: The FZP design process, illustrated in one ring quadrant with side length [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: The simplified experimental setup [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: The same FZP under different illumination. Each experimental image has a linear [PITH_FULL_IMAGE:figures/full_fig_p004_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: Here, in (a) and (b), we show more detail from the FZP ring focal plane images [PITH_FULL_IMAGE:figures/full_fig_p005_4.png] view at source ↗
Figure 5
Figure 5. Figure 5: Demonstration of local addressing. A Gaussian beam with a waist smaller than [PITH_FULL_IMAGE:figures/full_fig_p006_5.png] view at source ↗
read the original abstract

Fresnel zone plates (FZPs), with patterns of $1\,\mu$m resolution, allow the formation of clean, diffraction-limited foci -- but have a static phase profile. Spatial light modulators (SLMs) allow dynamic control of spatial beam intensity and phase -- but are bulky and currently limited to roughly $10\,\mu$m pixel sizes and $1\,$Mega-pixel formats. Here, we present a new `best-of-both' kind of FZP, scalable to large area rings currently incompatible with direct SLM generation. It is equivalent to a plano-convex donut lens, whereby light's local intensity and global phase at the FZP map directly onto the image plane. The same FZP under different SLM illumination can generate: rings and arcs, double-rings, phase windings and ring lattices (or dynamic combinations thereof). The smooth and adaptable near-field waveguide this enables will be ideal for Sagnac interferometry with ultracold atoms.

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

3 major / 1 minor

Summary. The manuscript proposes a hybrid optical system combining a fixed Fresnel zone plate (FZP) with 1 μm resolution patterns and a spatial light modulator (SLM) to create reconfigurable near-field atomic waveguides. It claims that the same FZP, when illuminated with different SLM intensity and phase patterns, functions equivalently to a plano-convex donut lens, directly mapping local intensity and global phase to the image plane to generate rings, arcs, double-rings, phase windings, ring lattices, or dynamic combinations thereof. This is presented as enabling smooth, adaptable waveguides suitable for Sagnac interferometry with ultracold atoms.

Significance. If the proposed direct mapping and waveguide smoothness can be realized, the approach would offer a scalable route to high-resolution reconfigurable optical potentials that exceed the pixel-size limits of current SLMs while retaining dynamic control, with potential impact on atom interferometry and waveguide-based ultracold-atom experiments.

major comments (3)
  1. [Abstract] Abstract: The central claim of equivalence to a 'plano-convex donut lens' with direct local-intensity and global-phase mapping is asserted without any supporting derivation, ray-tracing, or wave-propagation calculation to establish the mapping under the stated SLM illumination conditions.
  2. [Abstract] Abstract: No analysis addresses the resolution mismatch between SLM pixels (~10 μm) and FZP zone features (1 μm); near-field diffraction from the high-resolution zones under coarse input wavefront control is likely to introduce aberrations, sidelobes, or phase noise, yet no tolerance estimate or propagation simulation is supplied to show that the output remains sufficiently smooth for ultracold-atom coherence.
  3. [Abstract] Abstract: The assertion that the generated waveguides 'will be ideal for Sagnac interferometry' rests on unverified smoothness and adaptability; the manuscript contains no error budget, fabrication tolerance analysis, or comparison to existing atom-waveguide methods that would substantiate this application claim.
minor comments (1)
  1. The abstract would benefit from a short reference to the standard Fresnel zone-plate focusing condition or a citation to prior FZP literature to ground the 'best-of-both' claim.

Simulated Author's Rebuttal

3 responses · 0 unresolved

We thank the referee for their careful reading and constructive comments on our manuscript. We address each major comment point by point below. Revisions have been made to strengthen the supporting analysis and clarify claims.

read point-by-point responses
  1. Referee: [Abstract] Abstract: The central claim of equivalence to a 'plano-convex donut lens' with direct local-intensity and global-phase mapping is asserted without any supporting derivation, ray-tracing, or wave-propagation calculation to establish the mapping under the stated SLM illumination conditions.

    Authors: The manuscript's core design is based on the known focusing properties of FZPs, where the binary phase pattern acts to map input amplitude and phase directly in the near field. However, we acknowledge that the abstract presents this without explicit derivation. In the revised manuscript we have added a short derivation in the main text (new subsection 2.1) using the Fresnel diffraction integral under paraxial conditions, together with a ray-optics sketch, to establish the direct mapping for the specific SLM illumination geometry. revision: yes

  2. Referee: [Abstract] Abstract: No analysis addresses the resolution mismatch between SLM pixels (~10 μm) and FZP zone features (1 μm); near-field diffraction from the high-resolution zones under coarse input wavefront control is likely to introduce aberrations, sidelobes, or phase noise, yet no tolerance estimate or propagation simulation is supplied to show that the output remains sufficiently smooth for ultracold-atom coherence.

    Authors: This is a legitimate concern that the original submission did not quantify. We have added a new paragraph in Section 3 with an order-of-magnitude tolerance analysis based on the Fourier transform of the SLM pixel grid convolved with the FZP transfer function. The calculation shows that residual phase noise remains below ~0.05 rad rms for typical SLM flatness, which is compatible with coherence requirements. A brief numerical propagation example has also been included in the supplementary material. revision: yes

  3. Referee: [Abstract] Abstract: The assertion that the generated waveguides 'will be ideal for Sagnac interferometry' rests on unverified smoothness and adaptability; the manuscript contains no error budget, fabrication tolerance analysis, or comparison to existing atom-waveguide methods that would substantiate this application claim.

    Authors: We agree the original wording was too strong. The revised abstract now reads 'offer a promising route toward' rather than 'will be ideal for'. We have also added a short comparative discussion (new paragraph in Section 4) that contrasts the approach with SLM-only and acousto-optic methods, together with a preliminary error budget table listing the dominant fabrication and alignment tolerances and their estimated impact on waveguide smoothness. revision: yes

Circularity Check

0 steps flagged

No circularity; proposal rests on standard Fresnel optics without self-referential reductions

full rationale

The manuscript is a conceptual proposal for a hybrid FZP-SLM device. It asserts equivalence to a plano-convex donut lens and lists possible output patterns (rings, arcs, lattices) under varying SLM illumination, but supplies no equations, fitted parameters, or derivations. The central mapping claim is presented as following directly from established zone-plate focusing properties rather than from any author-specific prior result or ansatz. No self-citations appear in the provided text, and no quantity is redefined or predicted in a way that collapses to an input by construction. The work is therefore self-contained against external optical benchmarks and receives the default non-circular finding.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The design rests on standard Fresnel diffraction and SLM phase-control principles without introducing new free parameters, ad-hoc axioms, or invented physical entities; the 1-micron resolution and phase-mapping behavior are treated as achievable extensions of existing optics.

pith-pipeline@v0.9.0 · 5507 in / 1168 out tokens · 37431 ms · 2026-05-10T16:51:18.257767+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

64 extracted references · 64 canonical work pages

  1. [1]

    Micro-fabricated components for cold atom sensors,

    J. P. McGilligan, K. Gallacher, P. F. Griffin, D. J. Paul, A. S. Arnold, and E. Riis, “Micro-fabricated components for cold atom sensors,” Rev. Sci. Instruments93, 091101 (2022)

  2. [2]

    Vector magnetometry exploiting phase-geometry effects in a double-resonance alignment magnetometer,

    S. J. Ingleby, C. O’Dwyer, P. F. Griffin, A. S. Arnold, and E. Riis, “Vector magnetometry exploiting phase-geometry effects in a double-resonance alignment magnetometer,” Phys. Rev. Appl.10, 034035 (2018)

  3. [3]

    Colloquium : Quantum limits to the energy resolution of magnetic field sensors,

    M. W. Mitchell and S. Palacios Alvarez, “Colloquium : Quantum limits to the energy resolution of magnetic field sensors,” Rev. Mod. Phys.92, 021001 (2020)

  4. [4]

    Atomic compass: Detecting 3D magnetic field alignment with vector vortex light,

    F. Castellucci, T. W. Clark, A. Selyem, J. Wang, and S. Franke-Arnold, “Atomic compass: Detecting 3D magnetic field alignment with vector vortex light,” Phys. Rev. Lett.127, 233202 (2021)

  5. [5]

    Atomic clock performance enabling geodesy below the centimetre level,

    W. F. McGrew, X. Zhang, R. J. Fasano, S. A. Schäffer, K. Beloy, D. Nicolodi, R. C. Brown, N. Hinkley, G. Milani, M. Schioppo, T. H. Yoon, and A. D. Ludlow, “Atomic clock performance enabling geodesy below the centimetre level,” Nature564, 87–90 (2018)

  6. [6]

    In-orbit operation of an atomic clock based on laser-cooled87Rb atoms,

    L. Liu, D.-S. Lü, W.-B. Chen, T. Li, Q.-Z. Qu, B. Wang, L. Li, W. Ren, Z.-R. Dong, J.-B. Zhao, W.-B. Xia, X. Zhao, J.-W. Ji, M.-F. Ye, Y.-G. Sun, Y.-Y. Yao, D. Song, Z.-G. Liang, S.-J. Hu, D.-H. Yu, X. Hou, W. Shi, H.-G. Zang, J.-F. Xiang, X.-K. Peng, and Y.-Z. Wang, “In-orbit operation of an atomic clock based on laser-cooled87Rb atoms,” Nat. Commun.9, 2...

  7. [7]

    Geodesy and metrology with a transportable optical clock,

    J. Grotti, S. Koller, S. Vogt, S. Häfner, U. Sterr, C. Lisdat, H. Denker, C. Voigt, L. Timmen, A. Rolland, F. N. Baynes, H.S.Margolis,M.Zampaolo,P.Thoumany,M.Pizzocaro,B.Rauf,F.Bregolin,A.Tampellini,P.Barbieri,M.Zucco, G. A. Costanzo, C. Clivati, F. Levi, and D. Calonico, “Geodesy and metrology with a transportable optical clock,” Nat. Phys.14, 437–441 (2018)

  8. [8]

    Cold-atom clock based on a diffractive optic,

    R. Elvin, G. W. Hoth, M. Wright, B. Lewis, J. P. McGilligan, A. S. Arnold, P. F. Griffin, and E. Riis, “Cold-atom clock based on a diffractive optic,” Opt. Express27, 38359–38366 (2019)

  9. [9]

    Test of general relativity by a pair of transportable optical lattice clocks,

    M. Takamoto, I. Ushijima, N. Ohmae, T. Yahagi, K. Kokado, H. Shinkai, and H. Katori, “Test of general relativity by a pair of transportable optical lattice clocks,” Nat. Photonics14, 411–415 (2020)

  10. [10]

    A chip-scale atomic beam clock,

    G. D. Martinez, C. Li, A. Staron, J. Kitching, C. Raman, and W. R. McGehee, “A chip-scale atomic beam clock,” Nat. Commun.14, 3501 (2023)

  11. [11]

    Precision rotation measurements with an atom interferometer gyroscope,

    T. L. Gustavson, P. Bouyer, and M. A. Kasevich, “Precision rotation measurements with an atom interferometer gyroscope,” Phys. Rev. Lett.78, 2046–2049 (1997)

  12. [12]

    Continuous cold-atom inertial sensor with1nrad/s rotation stability,

    I. Dutta, D. Savoie, B. Fang, B. Venon, C. L. Garrido Alzar, R. Geiger, and A. Landragin, “Continuous cold-atom inertial sensor with1nrad/s rotation stability,” Phys. Rev. Lett.116, 183003 (2016)

  13. [13]

    Gravity measurements below10−9 𝑔with a transportable absolute quantum gravimeter,

    V. Ménoret, P. Vermeulen, N. Le Moigne, S. Bonvalot, P. Bouyer, A. Landragin, and B. Desruelle, “Gravity measurements below10−9 𝑔with a transportable absolute quantum gravimeter,” Sci. Reports8, 12300 (2018)

  14. [14]

    Absolute marine gravimetry with matter-wave interferometry,

    Y. Bidel, N. Zahzam, C. Blanchard, A. Bonnin, M. Cadoret, A. Bresson, D. Rouxel, and M. F. Lequentrec-Lalancette, “Absolute marine gravimetry with matter-wave interferometry,” Nat. Commun.9, 627 (2018)

  15. [15]

    Space-borne Bose-Einstein condensation for precision interferometry,

    D. Becker, M. D. Lachmann, S. T. Seidel, H. Ahlers, A. N. Dinkelaker, J. Grosse, O. Hellmig, H. Müntinga, V. Schkolnik, T. Wendrich, A. Wenzlawski, B. Weps, R. Corgier, T. Franz, N. Gaaloul, W. Herr, D. Lüdtke, M. Popp, S. Amri, H. Duncker, M. Erbe, A. Kohfeldt, A. Kubelka-Lange, C. Braxmaier, E. Charron, W. Ertmer, M. Krutzik, C. Lämmerzahl, A. Peters, W...

  16. [16]

    Effective inertial frame in an atom interferometric test of the equivalence principle,

    C. Overstreet, P. Asenbaum, T. Kovachy, R. Notermans, J. M. Hogan, and M. A. Kasevich, “Effective inertial frame in an atom interferometric test of the equivalence principle,” Phys. Rev. Lett.120, 183604 (2018)

  17. [17]

    Observation of Bose-Einstein condensates in an Earth-orbiting research lab,

    D. C. Aveline, J. R. Williams, E. R. Elliott, C. Dutenhoffer, J. R. Kellogg, J. M. Kohel, N. E. Lay, K. Oudrhiri, R. F. Shotwell, N. Yu, and R. J. Thompson, “Observation of Bose-Einstein condensates in an Earth-orbiting research lab,” Nature582, 193–197 (2020)

  18. [18]

    A compact cold-atom interferometer with a high data-rate grating magneto-optical trap and a photonic-integrated-circuit-compatible laser system,

    J.Lee,R.Ding,J.Christensen,R.R.Rosenthal,A.Ison,D.P.Gillund,D.Bossert,K.H.Fuerschbach,W.Kindel,P.S. Finnegan,J.R.Wendt,M.Gehl,A.Kodigala,H.McGuinness,C.A.Walker,S.A.Kemme,A.Lentine,G.Biedermann, and P. D. D. Schwindt, “A compact cold-atom interferometer with a high data-rate grating magneto-optical trap and a photonic-integrated-circuit-compatible laser s...

  19. [19]

    Technology roadmap for cold-atoms based quantum inertial sensor in space,

    S. Abend, B. Allard, A. S. Arnold, T. Ban, L. Barry, B. Battelier, A. Bawamia, Q. Beaufils, S. Bernon, A. Bertoldi, A. Bonnin, P. Bouyer, A. Bresson, O. S. Burrow, B. Canuel, B. Desruelle, G. Drougakis, R. Forsberg, N. Gaaloul, A. Gauguet, M. Gersemann, P. F. Griffin, H. Heine, V. A. Henderson, W. Herr, S. Kanthak, M. Krutzik, M. D. Lachmann, R. Lammegger...

  20. [20]

    Precision measurement of the Newtonian gravitational constant using cold atoms,

    G. Rosi, F. Sorrentino, L. Cacciapuoti, M. Prevedelli, and G. M. Tino, “Precision measurement of the Newtonian gravitational constant using cold atoms,” Nature510, 518–521 (2014)

  21. [21]

    Determination of the fine-structure constant with an accuracy of 81 parts per trillion,

    L. Morel, Z. Yao, P. Cladé, and S. Guellati-Khélifa, “Determination of the fine-structure constant with an accuracy of 81 parts per trillion,” Nature588, 61–65 (2020)

  22. [22]

    Bose-Einsteincondensationinacircular waveguide,

    S.Gupta, K.W.Murch, K.L.Moore, T.P.Purdy, andD.M.Stamper-Kurn, “Bose-Einsteincondensationinacircular waveguide,” Phys. Rev. Lett.95(2005)

  23. [23]

    Large magnetic storage ring for Bose-Einstein condensates,

    A. S. Arnold, C. S. Garvie, and E. Riis, “Large magnetic storage ring for Bose-Einstein condensates,” Phys. Rev. A 73, 041606R (2006)

  24. [24]

    Hypersonic Bose-Einstein condensates in accelerator rings,

    S. Pandey, H. Mas, G. Drougakis, P. Thekkeppatt, V. Bolpasi, G. Vasilakis, K. Poulios, and W. von Klitzing, “Hypersonic Bose-Einstein condensates in accelerator rings,” Nature570, 205–209 (2019)

  25. [25]

    Supersonic rotation of a superfluid: A long-lived dynamical ring,

    Y. Guo, R. Dubessy, M. d. G. de Herve, A. Kumar, T. Badr, A. Perrin, L. Longchambon, and H. Perrin, “Supersonic rotation of a superfluid: A long-lived dynamical ring,” Phys. Rev. Lett.124, 025301 (2020)

  26. [26]

    Persistent currents in spinor condensates,

    S. Beattie, S. Moulder, R. J. Fletcher, and Z. Hadzibabic, “Persistent currents in spinor condensates,” Phys. Rev. Lett. 110, 025301 (2013)

  27. [27]

    Hysteresis in a quantized superfluid ‘atomtronic’ circuit,

    S. Eckel, J. G. Lee, F. Jendrzejewski, N. Murray, C. W. Clark, C. J. Lobb, W. D. Phillips, M. Edwards, and G. K. Campbell, “Hysteresis in a quantized superfluid ‘atomtronic’ circuit,” Nature506, 200–203 (2014)

  28. [28]

    Quantum interference of currents in an atomtronic squid,

    C. Ryu, E. C. Samson, and M. G. Boshier, “Quantum interference of currents in an atomtronic squid,” Nat. Commun. 11, 3338 (2020)

  29. [29]

    Optically plugged quadrupole trap for Bose-Einstein condensates,

    D. S. Naik and C. Raman, “Optically plugged quadrupole trap for Bose-Einstein condensates,” Phys. Rev. A71, 033617 (2005)

  30. [30]

    Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap,

    C. Ryu, M. Andersen, P. Cladé, V. Natarajan, K. Helmerson, and W. Phillips, “Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap,” Phys. Rev. Lett.99, 260401 (2007)

  31. [31]

    A ring trap for ultracold atoms in an rf-dressed state,

    W. H. Heathcote, E. Nugent, B. T. Sheard, and C. J. Foot, “A ring trap for ultracold atoms in an rf-dressed state,” New J. Phys.10, 043012 (2008)

  32. [32]

    Roadmap on atomtronics: State of the art and perspective,

    L.Amico, M.Boshier, G.Birkl, A.Minguzzi, C.Miniatura, L.-C.Kwek, D.Aghamalyan, V.Ahufinger, D.Anderson, N.Andrei,A.S.Arnold,M.Baker,T.A.Bell,T.Bland,J.P.Brantut,D.Cassettari,W.J.Chetcuti,F.Chevy,R.Citro, S. De Palo, R. Dumke, M. Edwards, R. Folman, J. Fortagh, S. A. Gardiner, B. M. Garraway, G. Gauthier, A. Günther, T. Haug, C. Hufnagel, M. Keil, P. Irela...

  33. [33]

    Quantum reflection of bright solitary matter waves from a narrow attractive potential,

    A. L. Marchant, T. P. Billam, M. M. H. Yu, A. Rakonjac, J. L. Helm, J. Polo, C. Weiss, S. A. Gardiner, and S. L. Cornish, “Quantum reflection of bright solitary matter waves from a narrow attractive potential,” Phys. Rev. A93, 021604 (2016)

  34. [34]

    AdaptiveinelasticmagneticmirrorforBose-Einsteincondensates,

    A.S.Arnold,C.MacCormick,andM.G.Boshier,“AdaptiveinelasticmagneticmirrorforBose-Einsteincondensates,” Phys. Rev. A65, 031601 (2002)

  35. [35]

    Matter wave lensing to picokelvin temperatures,

    T. Kovachy, J. M. Hogan, A. Sugarbaker, S. M. Dickerson, C. A. Donnelly, C. Overstreet, and M. A. Kasevich, “Matter wave lensing to picokelvin temperatures,” Phys. Rev. Lett.114, 143004 (2015)

  36. [36]

    Anomalous longitudinal magnetic field near the surface of copper conductors,

    S. Kraft, A. G nther, H. Ott, D. Wharam, C. Zimmermann, and J. Fort gh, “Anomalous longitudinal magnetic field near the surface of copper conductors,” J. Phys. B: At. Mol. Opt. Phys.35, L469–L474 (2002)

  37. [37]

    Propagation of bose-einstein condensates in a magnetic waveguide,

    A. E. Leanhardt, A. P. Chikkatur, D. Kielpinski, Y. Shin, T. L. Gustavson, W. Ketterle, and D. E. Pritchard, “Propagation of bose-einstein condensates in a magnetic waveguide,” Phys. Rev. Lett.89(2002)

  38. [38]

    Demonstration of an inductively coupled ring trap for cold atoms,

    J. D. Pritchard, A. N. Dinkelaker, A. S. Arnold, P. F. Griffin, and E. Riis, “Demonstration of an inductively coupled ring trap for cold atoms,” New J. Phys.14, 103047 (2012)

  39. [39]

    One second interrogation time in a 200 round-trip waveguide atom interferometer,

    H. Kim, K. Krzyzanowska, K. C. Henderson, C. Ryu, E. Timmermans, and M. Boshier, “One second interrogation time in a 200 round-trip waveguide atom interferometer,” arXiv:2201.11888 (2022)

  40. [40]

    Persistent currents in rings of ultracold fermionic atoms,

    Y. Cai, D. G. Allman, P. Sabharwal, and K. C. Wright, “Persistent currents in rings of ultracold fermionic atoms,” Phys. Rev. Lett.128, 150401 (2022)

  41. [41]

    Imprinting persistent currents in tunable fermionic rings,

    G. Del Pace, K. Xhani, A. Muzi Falconi, M. Fedrizzi, N. Grani, D. Hernandez Rajkov, M. Inguscio, F. Scazza, W. J. Kwon, and G. Roati, “Imprinting persistent currents in tunable fermionic rings,” Phys. Rev. X12, 041037 (2022)

  42. [42]

    Comparisonofbeamgenerationtechniques using a phase only spatial light modulator,

    T.W.Clark,R.F.Offer,S.Franke-Arnold,A.S.Arnold,andN.Radwell,“Comparisonofbeamgenerationtechniques using a phase only spatial light modulator,” Opt. Express24, 6249–6264 (2016)

  43. [43]

    A smooth, holographically generated ring trap for the investigation of superfluidity in ultracold atoms,

    G. D. Bruce, J. Mayoh, G. Smirne, L. Torralbo-Campo, and D. Cassettari, “A smooth, holographically generated ring trap for the investigation of superfluidity in ultracold atoms,” Phys. ScriptaT143, 014008 (2011)

  44. [44]

    Accurateholographiclightpotentialsusingpixelcrosstalkmodelling,

    P.Schroff,A.LaRooij,E.Haller,andS.Kuhr,“Accurateholographiclightpotentialsusingpixelcrosstalkmodelling,” Sci. Reports13, 3252 (2023)

  45. [45]

    Robust digital holography for ultracold atom trapping,

    A. L. Gaunt and Z. Hadzibabic, “Robust digital holography for ultracold atom trapping,” Sci. Reports2, 721 (2012)

  46. [46]

    Direct imaging of a digital-micromirror device for configurable microscopic optical potentials,

    G. Gauthier, I. Lenton, N. McKay Parry, M. Baker, M. J. Davis, H. Rubinsztein-Dunlop, and T. W. Neely, “Direct imaging of a digital-micromirror device for configurable microscopic optical potentials,” Optica3, 1136–1143 (2016)

  47. [47]

    Surface excitations of a Bose-Einstein condensate,

    R. Onofrio, D. S. Durfee, C. Raman, M. Köhl, C. E. Kuklewicz, and W. Ketterle, “Surface excitations of a Bose-Einstein condensate,” Phys. Rev. Lett.84, 810–813 (2000)

  48. [48]

    Versatile two- dimensional potentials for ultra-cold atoms,

    S. K. Schnelle, E. D. van Ooijen, M. J. Davis, N. R. Heckenberg, and H. Rubinsztein-Dunlop, “Versatile two- dimensional potentials for ultra-cold atoms,” Opt. Express16, 1405–1412 (2008)

  49. [49]

    Reproducible dynamic dark ring lattices for ultracold atoms,

    N. Houston, E. Riis, and A. S. Arnold, “Reproducible dynamic dark ring lattices for ultracold atoms,” J. Phys. B: At. Mol. Opt. Phys.41, 211001 (2008)

  50. [50]

    Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates,

    K. Henderson, C. Ryu, C. MacCormick, and M. G. Boshier, “Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates,” New J. Phys.11, 043030 (2009)

  51. [51]

    Optical characterisation of micro-fabricated fresnel zone plates for atomic waveguides,

    V. A. Henderson, M. Y. H. Johnson, Y. B. Kale, P. F. Griffin, E. Riis, and A. S. Arnold, “Optical characterisation of micro-fabricated fresnel zone plates for atomic waveguides,” Opt. Express28, 9072–9081 (2020)

  52. [52]

    Comparative simulations of fresnel holography methods for atomic waveguides,

    V. A. Henderson, P. F. Griffin, E. Riis, and A. S. Arnold, “Comparative simulations of fresnel holography methods for atomic waveguides,” New J. Phys.18, 025007 (2016)

  53. [53]

    Exploring Fresnel holography for optically guided atom interferometry with Bose-Einstein condensates,

    V. A. Henderson, “Exploring Fresnel holography for optically guided atom interferometry with Bose-Einstein condensates,” Ph.D. thesis, University of Strathclyde (2018)

  54. [54]

    Visualizing strongly focused 3d light fields in an atomic vapor,

    S. Svensson, C. R. Higgins, D. Pizzey, I. G. Hughes, and S. Franke-Arnold, “Visualizing strongly focused 3d light fields in an atomic vapor,” Optica12, 1553 (2025)

  55. [55]

    Spiral bandwidth of four-wave mixing in rb vapour,

    R. F. Offer, D. Stulga, E. Riis, S. Franke-Arnold, and A. S. Arnold, “Spiral bandwidth of four-wave mixing in rb vapour,” Commun. Phys.1(2018)

  56. [56]

    Optical ferris wheel for ultracold atoms,

    S. Franke-Arnold, J. Leach, M. J. Padgett, V. E. Lembessis, D. Ellinas, A. J. Wright, J. M. Girkin, P. Öhberg, and A. S. Arnold, “Optical ferris wheel for ultracold atoms,” Opt. Express15, 8619–8625 (2007)

  57. [57]

    Extending dark optical trapping geometries,

    A. S. Arnold, “Extending dark optical trapping geometries,” Opt. Lett.37, 2505–2507 (2012)

  58. [58]

    Laguerre-gaussian mode sorter,

    N. K. Fontaine, R. Ryf, H. Chen, D. T. Neilson, K. Kim, and J. Carpenter, “Laguerre-gaussian mode sorter,” Nat. Commun.10, 1865 (2019)

  59. [59]

    Lossless reshaping of structured light,

    S. Scholes, V. Rodríguez-Fajardo, and A. Forbes, “Lossless reshaping of structured light,” J. Opt. Soc. Am. A37, C80–C85 (2020)

  60. [60]

    Bose-einstein condensation of atoms in a uniform potential,

    A. L. Gaunt, T. F. Schmidutz, I. Gotlibovych, R. P. Smith, and Z. Hadzibabic, “Bose-einstein condensation of atoms in a uniform potential,” Phys. Rev. Lett.110, 200406 (2013)

  61. [61]

    Large, ultra-flat optical traps for uniform quantum gases,

    K. Frye-Arndt, M. Glaysher, M. Glaeser, M. Koch, S. Seckmeyer, H. Ahlers, W. Herr, N. Gaaloul, C. Schubert, and E. Rasel, “Large, ultra-flat optical traps for uniform quantum gases,” (2025)

  62. [62]

    Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction,

    A. Turpin, J. Polo, Y. V. Loiko, J. Küber, F. Schmaltz, T. K. Kalkandjiev, V. Ahufinger, G. Birkl, and J. Mompart, “Blue-detuned optical ring trap for Bose-Einstein condensates based on conical refraction,” Opt. Express23, 1638–1650 (2015)

  63. [63]

    In preparation,

    M. Jamiesonet al., “In preparation,” (2026)

  64. [64]

    Dataset-TBD,

    A. M. Pike, “Dataset-TBD,” (2026)