REVIEW 3 major objections 3 minor 60 references
Suppression of coherent light scattering in a three-dimensional atomic array
T0 review · 3 major / 3 minor · reviewed 2026-08-05 · deepseek-v4-flash
Pith's one-line read Three-dimensional atomic arrays are shown to suppress coherent light scattering in all directions, with residual scattering traced to atom delocalization, Raman scattering, and saturation.
desk verdict Potentially important first experimental observation of 3D omnidirectional suppression of coherent scattering, but the garbled full text leaves the central quantitative calibration and background attribution unverifiable in this version. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The load-bearing element is the crystalline order of a three-dimensional optical lattice at unit filling. The collective coherent scattering amplitude is a sum over lattice sites; because the sites are periodic, the phase of each site's contribution can be arranged to cancel for every non-forward scattering direction, something a one- or two-dimensional array cannot do. The cancellation leaves only incoherent channels—delocalization, Raman scattering, and saturation—whose contribution the paper models quantitatively.
What would settle it
Probe a deeply trapped, one-atom-per-site 3D Mott insulator and measure the angular and frequency content of the scattered light. Seeing any coherent, same-frequency scattered component at a nonzero angle, or a residual signal that does not follow the predicted variation with lattice depth, temperature, and probe intensity, would undermine the claim of omnidirectional suppression.
Extended reading notes
Core claim
In an ideal 3D Mott insulator, every lattice site is occupied by one atom at a well-defined position. When probe light illuminates the array, the elastically scattered fields from different sites interfere destructively in every non-forward direction, so a perfect 3D array emits essentially no coherent scattered light. The paper presents the first experimental demonstration of this omnidirectional suppression, using atoms in a three-dimensional optical lattice. The residual scattering is not left as an unexplained background: the authors model it as the sum of delocalization of atoms from their lattice sites, Raman scattering, and inelastic scattering that appears with probe saturation. They
Load-bearing premise
The central claim depends on the completeness and correct calibration of the three-channel residual model (delocalization, Raman scattering, and saturation); a missing scattering mechanism or a wrong atom-number normalization would change how much of the suppression is real.
Editorial extensions
If this is right
- A 3D Mott-insulator array can act as a nearly dark object for coherent light, with the small residual decomposed into delocalization, Raman, and saturation channels.
- The residual scattering intensity gives a quantitative measure of density fluctuations, making it possible to locate the superfluid-to-Mott-insulator transition.
- Defects produced by dynamical lattice ramps show up in the scattering signal, extending the probe to nonequilibrium many-body dynamics.
- The demonstrated all-direction suppression is a concrete route to preparing subradiant states for photon storage.
- The work carries collective-interference control from 1D and 2D arrays into 3D, where suppression is simultaneously possible in all directions.
Reading between the lines
- If delocalization, Raman, and saturation are further reduced—deeper lattices, lower temperatures, weaker probes—the suppression should approach the ideal zero-scattering limit, effectively turning the array into a switchable optical element controlled by moving atoms out of the Mott state.
- The same readout could be applied to other lattice models, using scattered light to track density correlations, disorder, or thermal fluctuations in real time.
- The interference mechanism itself is not specific to atomic resonance; analogous all-direction suppression could be engineered in 3D periodic structures for other wavelengths, such as metamaterials or X-ray scatterer arrays.
Signed reviews
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper reports an experimental study of coherent light scattering from a three-dimensional atomic array prepared as a Mott insulator in an optical lattice. The central claim is the observation of omnidirectional suppression of coherent light scattering, with the residual scattering attributed to three channels: atom delocalization, Raman scattering, and saturation-induced inelastic scattering. The authors further propose light scattering as a sensitive probe of density fluctuations, enabling characterization of the superfluid-to-Mott-insulator transition and of defects from dynamical ramps. The supplied full text, however, is heavily corrupted and largely unreadable, so the experimental details, quantitative definitions, and analysis procedures cannot be verified from the manuscript as provided.
Significance. If the result holds, it would be the first experimental demonstration of destructive interference of coherent scattering in all directions in a 3D atomic array, a result of considerable importance for quantum optics and for many-body physics in optical lattices. The proposed scattering-based probe of density fluctuations is also potentially valuable. The paper is therefore significant in principle. However, the submitted text does not currently permit an assessment of the reliability of the measurement, the calibration of atom number and filling, or the completeness of the residual-scattering model. These are essential for the central claim, and until the text is readable and the technical details are supplied, the significance claim cannot be evaluated.
major comments (3)
- [Full text (all sections)] The supplied full text is garbled: most paragraphs are unintelligible, equations are corrupted, and figure captions/data tables cannot be read. I cannot locate the definition of the suppression factor, the experimental sequence, the calibration procedures, or the error analysis. This is a blocking issue: the central experimental claim cannot be checked without a readable manuscript. Please resubmit a clean version with all equations and figures intact.
- [Abstract / residual-scattering model] The abstract states that residual scattering is 'shown to be caused by' delocalization, Raman scattering, and saturation. The supplied text does not provide a completeness argument for exactly these three channels. If the background amplitudes are fitted to the same data, any unmodeled process—such as scattering from unpaired thermal atoms, off-resonant scattering by lattice light, or imperfect probe polarization—would be absorbed into the fitted amplitudes, making the attribution circular. Please provide independent control measurements or parameter scans that distinguish the three channels, and clearly state which parameters are fitted and which are fixed.
- [Suppression-factor normalization] The suppression factor is stated relative to single-atom scattering times N. Any systematic error in the absolute atom number N or lattice filling scales the inferred suppression factor directly. The supplied text does not allow me to assess the calibration method, the uncertainty in N and filling, or how these uncertainties propagate into the reported suppression factor. Please provide a detailed calibration procedure and a full uncertainty budget, including a statement of whether the suppression factor is defined as measured incoherent scattering divided by (single-atom scattering × N).
minor comments (3)
- [Introduction / novelty] The abstract claims 'first experimental demonstration' of omnidirectional suppression in 3D arrays. Please add a concise comparison with prior 1D and 2D array experiments and with theoretical predictions for 3D arrays, to make the novelty statement well-supported.
- [Figures] All figure captions and axis labels are unreadable in the supplied text. In a revised version, ensure that every figure is legible and self-contained, with explicitly defined axes and quantities.
- [Methods / defect characterization] The abstract mentions characterization of defects generated by dynamical ramps, but no quantitative definition of 'defect density' is visible in the readable portions. Please define the observable used to quantify defects and explain its relation to the scattering signal.
Circularity Check
No exhibited circularity: the central claim is an experimental observation, and the residual-scattering attribution is not shown to reduce to fitted inputs.
full rationale
The paper's primary claim is an experimental observation: a strong reduction of coherent light scattering in a 3D atomic Mott insulator. This is not a derivation and does not, on its face, define any predicted quantity in terms of the measured outcome. The suppression factor is naturally a ratio of measured scattering to a single-atom reference, and no equation is recoverable from the supplied text showing that this reference is fitted to the same data. The abstract's statement that residual scattering is 'caused by' delocalization, Raman scattering, and saturation is an attribution claim, not a derived prediction; the text does not exhibit any model in which those three channels are fitted to the residual and then presented as independent explanations. The supplied full text is largely unreadable due to encoding corruption, so I cannot inspect the detailed equations or the calibration of atom number and filling. However, per the hard rules, circularity must be demonstrated by quoting the paper and exhibiting a specific reduction (e.g., Eq. X = Eq. Y by construction, or a fitted parameter renamed as a prediction). No such demonstration is possible from the available evidence. The absence of readable evidence is a limitation, not an indication of circularity. Therefore the appropriate finding is no significant circularity.
Assumptions & free parameters
free parameters (2)
- Absolute atom number / filling calibration =
not given in abstract
- Residual background amplitudes (delocalization, Raman, saturation) =
not visible
assumptions (3)
- domain assumption The Mott insulator has high unit filling with negligible defects or holes.
- domain assumption Coherent and incoherent scattering can be experimentally separated (e.g., by spectral or directional filtering).
- domain assumption The probe light interacts in the linear, low-saturation regime except where saturation is intentionally used.
Cite this review
Pith. "Pith review of Suppression of coherent light scattering in a three-dimensional atomic array." pith.science (2026). https://pith.science/paper/VNOD2Z7V
@misc{pith2026250810966,
author = {Pith},
title = {Pith review of: Suppression of coherent light scattering in a three-dimensional atomic array},
year = {2026},
howpublished = {\url{https://pith.science/paper/VNOD2Z7V}},
note = {Machine review of arXiv:2508.10966}
}
read the original abstract
Understanding how atoms collectively interact with light is not only important for fundamental science, but also crucial for designing light-matter interfaces in quantum technologies. Over the past decades, numerous studies have focused on arranging atoms in ordered arrays and using constructive (destructive) interference to enhance (suppress) the coupling to electromagnetic fields, thereby tailoring collective light-matter interactions. These studies have mainly focused on one- and two-dimensional arrays. However, only three-dimensional (3D) arrays can demonstrate destructive interference of coherent light scattering in all directions. This omnidirectional suppression of coherent light scattering in 3D atomic arrays has thus far not been experimentally demonstrated. Here, we observe a strong reduction of light scattering in a 3D atomic array prepared in the form of a Mott insulator in optical lattices. The residual light scattering is shown to be caused by the delocalization of atoms, Raman scattering, and inelastic scattering associated with saturation. We also demonstrate how light scattering can be a sensitive probe for density fluctuations in many-body states in optical lattices, enabling us to characterize the superfluid-to-Mott insulator phase transition as well as defects generated by dynamical parameter ramps. The results of our work can be used to prepare subradiant states for photon storage and probe correlations for many-body systems in optical lattices.
Reference graph
Works this paper leans on
-
[1]
author author R. H. \ Dicke ,\ title title Coherence in spontaneous radiation processes ,\ https://doi.org/10.1103/PhysRev.93.99 journal journal Phys. Rev. \ volume 93 ,\ pages 99 ( year 1954 ) NoStop
-
[2]
author author R. H. \ Lehmberg ,\ title title Radiation from an n -atom system. i. general formalism ,\ https://doi.org/10.1103/PhysRevA.2.883 journal journal Phys. Rev. A \ volume 2 ,\ pages 883 ( year 1970 ) NoStop
-
[3]
author author M. Gross \ and\ author S. Haroche ,\ title title Superradiance: An essay on the theory of collective spontaneous emission ,\ @noop journal journal Physics reports \ volume 93 ,\ pages 301 ( year 1982 ) NoStop
work page 1982
-
[4]
author author C. Gross \ and\ author I. Bloch ,\ title title Quantum simulations with ultracold atoms in optical lattices ,\ @noop journal journal Science \ volume 357 ,\ pages 995 ( year 2017 ) NoStop
work page 2017
-
[5]
author author A. M. \ Kaufman \ and\ author K.-K. \ Ni ,\ title title Quantum science with optical tweezer arrays of ultracold atoms and molecules ,\ @noop journal journal Nature Physics \ volume 17 ,\ pages 1324 ( year 2021 ) NoStop
work page 2021
-
[6]
author author A. Glicenstein , author G. Ferioli , author N. S ibali \'c , author L. Brossard , author I. Ferrier-Barbut ,\ and\ author A. Browaeys ,\ title title Collective shift in resonant light scattering by a one-dimensional atomic chain ,\ @noop journal journal Phys. Rev. Lett. \ volume 124 ,\ pages 253602 ( year 2020 ) NoStop
work page 2020
-
[7]
author author N. V. \ Corzo , author B. Gouraud , author A. Chandra , author A. Goban , author A. S. \ Sheremet , author D. V. \ Kupriyanov ,\ and\ author J. Laurat ,\ title title Large bragg reflection from one-dimensional chains of trapped atoms near a nanoscale waveguide ,\ https://doi.org/10.1103/PhysRevLett.117.133603 journal journal Phys. Rev. Lett....
-
[8]
author author H. L. \ S rensen , author J.-B. \ B\'eguin , author K. W. \ Kluge , author I. Iakoupov , author A. S. \ S rensen , author J. H. \ M\"uller , author E. S. \ Polzik ,\ and\ author J. Appel ,\ title title Coherent backscattering of light off one-dimensional atomic strings ,\ https://doi.org/10.1103/PhysRevLett.117.133604 journal journal Phys. R...
Show all 60 references
-
[9]
Yan , author J
author author Z. Yan , author J. Ho , author Y.-H. \ Lu , author S. J. \ Masson , author A. Asenjo-Garcia ,\ and\ author D. M. \ Stamper-Kurn ,\ title title Superradiant and subradiant cavity scattering by atom arrays ,\ @noop journal journal Phys. Rev. Lett. \ volume 131 ,\ p...
2023
-
[10]
Weitenberg , author P
author author C. Weitenberg , author P. Schau , author T. Fukuhara , author M. Cheneau , author M. Endres , author I. Bloch ,\ and\ author S. Kuhr ,\ title title Coherent light scattering from a two-dimensional M ott insulator ,\ https://doi.org/10.1103/PhysRevLett.106.215301 ...
2011 doi
-
[11]
Rui , author D
author author J. Rui , author D. Wei , author A. Rubio-Abadal , author S. Hollerith , author J. Zeiher , author D. M. \ Stamper-Kurn , author C. Gross ,\ and\ author I. Bloch ,\ title title A subradiant optical mirror formed by a single structured atomic layer ,\ @noop journal...
2020
-
[12]
Birkl , author M
author author G. Birkl , author M. Gatzke , author I. H. \ Deutsch , author S. L. \ Rolston ,\ and\ author W. D. \ Phillips ,\ title title Bragg scattering from atoms in optical lattices ,\ https://doi.org/10.1103/PhysRevLett.75.2823 journal journal Phys. Rev. Lett. \ volume 7...
1995 doi
-
[13]
uller , author A. Hemmerich , author A. G\
author author M. Weidem\"uller , author A. Hemmerich , author A. G\"orlitz , author T. Esslinger ,\ and\ author T. W. \ H\"ansch ,\ title title Bragg diffraction in an atomic lattice bound by light ,\ https://doi.org/10.1103/PhysRevLett.75.4583 journal journal Phys. Rev. Lett....
1995 doi
-
[14]
Miyake , author G
author author H. Miyake , author G. A. \ Siviloglou , author G. Puentes , author D. E. \ Pritchard , author W. Ketterle ,\ and\ author D. M. \ Weld ,\ title title Bragg scattering as a probe of atomic wave functions and quantum phase transitions in optical lattices ,\ https://...
2011 doi
-
[15]
author author R. A. \ Hart , author P. M. \ Duarte , author T.-L. \ Yang , author X. Liu , author T. Paiva , author E. Khatami , author R. T. \ Scalettar , author N. Trivedi , author D. A. \ Huse ,\ and\ author R. G. \ Hulet ,\ title title Observation of antiferromagnetic corr...
2015
-
[16]
\ Shao , author Y.-X
author author H.-J. \ Shao , author Y.-X. \ Wang , author D.-Z. \ Zhu , author Y.-S. \ Zhu , author H.-N. \ Sun , author S.-Y. \ Chen , author C. Zhang , author Z.-J. \ Fan , author Y. Deng , author X.-C. \ Yao , et al. ,\ title title Antiferromagnetic phase transition in a 3d...
2024
-
[17]
Mewton \ and\ author Z
author author C. Mewton \ and\ author Z. Ficek ,\ title title Radiative properties of a linear chain of coupled qubits ,\ @noop journal journal Journal of Physics B: Atomic, Molecular and Optical Physics \ volume 40 ,\ pages S181 ( year 2007 ) NoStop
2007
-
[18]
Zoubi \ and\ author H
author author H. Zoubi \ and\ author H. Ritsch ,\ title title Metastability and directional emission characteristics of excitons in 1 D optical lattices ,\ @noop journal journal Europhysics Letters \ volume 90 ,\ pages 23001 ( year 2010 ) NoStop
2010
-
[19]
Sutherland \ and\ author F
author author R. Sutherland \ and\ author F. Robicheaux ,\ title title Collective dipole-dipole interactions in an atomic array ,\ @noop journal journal Phys. Rev. A \ volume 94 ,\ pages 013847 ( year 2016 ) NoStop
2016
-
[20]
Rubies-Bigorda \ and\ author S
author author O. Rubies-Bigorda \ and\ author S. F. \ Yelin ,\ title title Superradiance and subradiance in inverted atomic arrays ,\ https://doi.org/10.1103/PhysRevA.106.053717 journal journal Phys. Rev. A \ volume 106 ,\ pages 053717 ( year 2022 ) NoStop
2022 doi
-
[21]
Sierra , author S
author author E. Sierra , author S. J. \ Masson ,\ and\ author A. Asenjo-Garcia ,\ title title Dicke superradiance in ordered lattices: Dimensionality matters ,\ https://doi.org/10.1103/PhysRevResearch.4.023207 journal journal Phys. Rev. Res. \ volume 4 ,\ pages 023207 ( year ...
2022 doi
-
[22]
author author S. J. \ Masson \ and\ author A. Asenjo-Garcia ,\ title title Universality of dicke superradiance in arrays of quantum emitters ,\ @noop journal journal Nature Communications \ volume 13 ,\ pages 2285 ( year 2022 ) NoStop
2022
-
[23]
Fayard , author I
author author N. Fayard , author I. Ferrier-Barbut , author A. Browaeys ,\ and\ author J.-J. \ Greffet ,\ title title Optical control of collective states in one-dimensional ordered atomic chains beyond the linear regime ,\ @noop journal journal Phys. Rev. A \ volume 108 ,\ pa...
2023
-
[24]
author author S. J. \ Masson , author J. P. \ Covey , author S. Will ,\ and\ author A. Asenjo-Garcia ,\ title title Dicke superradiance in ordered arrays of multilevel atoms ,\ @noop journal journal PRX Quantum \ volume 5 ,\ pages 010344 ( year 2024 ) NoStop
2024
-
[25]
author author R. J. \ Bettles , author S. A. \ Gardiner ,\ and\ author C. S. \ Adams ,\ title title Enhanced optical cross section via collective coupling of atomic dipoles in a 2 D array ,\ https://doi.org/10.1103/PhysRevLett.116.103602 journal journal Phys. Rev. Lett. \ volu...
2016 doi
-
[26]
Shahmoon , author D
author author E. Shahmoon , author D. S. \ Wild , author M. D. \ Lukin ,\ and\ author S. F. \ Yelin ,\ title title Cooperative resonances in light scattering from two-dimensional atomic arrays ,\ @noop journal journal Phys. Rev. Lett. \ volume 118 ,\ pages 113601 ( year 2017 ) NoStop
2017
-
[27]
\ Chui , author S
author author S.-T. \ Chui , author S. Du ,\ and\ author G.-B. \ Jo ,\ title title Subwavelength transportation of light with atomic resonances ,\ @noop journal journal Phys. Rev. A \ volume 92 ,\ pages 053826 ( year 2015 ) NoStop
2015
-
[28]
Facchinetti , author S
author author G. Facchinetti , author S. D. \ Jenkins ,\ and\ author J. Ruostekoski ,\ title title Storing light with subradiant correlations in arrays of atoms ,\ @noop journal journal Phys. Rev. Lett. \ volume 117 ,\ pages 243601 ( year 2016 a ) NoStop
2016
-
[29]
selective radiance
author author A. Asenjo-Garcia , author M. Moreno-Cardoner , author A. Albrecht , author H. Kimble ,\ and\ author D. E. \ Chang ,\ title title Exponential improvement in photon storage fidelities using subradiance and “selective radiance” in atomic arrays ,\ @noop journal jour...
2017
-
[30]
Manzoni , author M
author author M. Manzoni , author M. Moreno-Cardoner , author A. Asenjo-Garcia , author J. V. \ Porto , author A. V. \ Gorshkov ,\ and\ author D. Chang ,\ title title Optimization of photon storage fidelity in ordered atomic arrays ,\ @noop journal journal New journal of physi...
2018
-
[31]
author author J. A. \ Needham , author I. Lesanovsky ,\ and\ author B. Olmos ,\ title title Subradiance-protected excitation transport ,\ @noop journal journal New Journal of Physics \ volume 21 ,\ pages 073061 ( year 2019 ) NoStop
2019
-
[32]
Bekenstein , author I
author author R. Bekenstein , author I. Pikovski , author H. Pichler , author E. Shahmoon , author S. F. \ Yelin ,\ and\ author M. D. \ Lukin ,\ title title Quantum metasurfaces with atom arrays ,\ @noop journal journal Nature Physics \ volume 16 ,\ pages 676 ( year 2020 ) NoStop
2020
-
[33]
author author S. J. \ Masson \ and\ author A. Asenjo-Garcia ,\ title title Atomic-waveguide quantum electrodynamics ,\ @noop journal journal Physical Review Research \ volume 2 ,\ pages 043213 ( year 2020 ) NoStop
2020
-
[34]
author author T. L. \ Patti , author D. S. \ Wild , author E. Shahmoon , author M. D. \ Lukin ,\ and\ author S. F. \ Yelin ,\ title title Controlling interactions between quantum emitters using atom arrays ,\ @noop journal journal Phys. Rev. Lett. \ volume 126 ,\ pages 223602 ...
2021
-
[35]
Castells-Graells , author D
author author D. Castells-Graells , author D. Malz , author C. C. \ Rusconi ,\ and\ author J. I. \ Cirac ,\ title title Atomic waveguide QED with atomic dimers ,\ https://doi.org/10.1103/PhysRevA.104.063707 journal journal Phys. Rev. A \ volume 104 ,\ pages 063707 ( year 2021 ) NoStop
2021 doi
-
[36]
Fedoseev , author H
author author V. Fedoseev , author H. Lin , author Y.-K. \ Lu , author Y. K. \ Lee , author J. Lyu ,\ and\ author W. Ketterle ,\ title title Coherent and incoherent light scattering by single-atom wavepackets ,\ @noop journal journal arXiv preprint arXiv:2410.19671 \ ( year 20...
2024 arXiv
-
[37]
In contrast, coherent (incoherent) light scattering refers to processes where the scattered photons have fixed (random) phase relations with respect to the incoming photon
title Throughout this work, we define elastic (inelastic) light scattering as photon scattering processes that do not change (change) the internal or external quantum state of the atom. In contrast, coherent (incoherent) light scattering refers to processes where the scattered...
-
[38]
Consider a microscope with a numerical aperture of 1 (therefore a spatial resolution of /2 ), with the atoms at its focus
title The existence of the sum rule for 2D or lower can also be understood by the following thought experiment. Consider a microscope with a numerical aperture of 1 (therefore a spatial resolution of /2 ), with the atoms at its focus. If the spacing between the atoms is larger...
-
[39]
author author I. B. \ Mekhov , author C. Maschler ,\ and\ author H. Ritsch ,\ title title Cavity-enhanced light scattering in optical lattices to probe atomic quantum statistics ,\ https://doi.org/10.1103/PhysRevLett.98.100402 journal journal Phys. Rev. Lett. \ volume 98 ,\ pa...
2007 doi
-
[40]
author author I. B. \ Mekhov , author C. Maschler ,\ and\ author H. Ritsch ,\ title title Light scattering from ultracold atoms in optical lattices as an optical probe of quantum statistics ,\ https://doi.org/10.1103/PhysRevA.76.053618 journal journal Phys. Rev. A \ volume 76 ...
2007 doi
-
[41]
Ruostekoski , author C
author author J. Ruostekoski , author C. J. \ Foot ,\ and\ author A. B. \ Deb ,\ title title Light scattering for thermometry of fermionic atoms in an optical lattice ,\ https://doi.org/10.1103/PhysRevLett.103.170404 journal journal Phys. Rev. Lett. \ volume 103 ,\ pages 17040...
2009 doi
-
[42]
Rist , author C
author author S. Rist , author C. Menotti ,\ and\ author G. Morigi ,\ title title Light scattering by ultracold atoms in an optical lattice ,\ https://doi.org/10.1103/PhysRevA.81.013404 journal journal Phys. Rev. A \ volume 81 ,\ pages 013404 ( year 2010 ) NoStop
2010 doi
-
[43]
Kozlowski , author S
author author W. Kozlowski , author S. F. \ Caballero-Benitez ,\ and\ author I. B. \ Mekhov ,\ title title Probing matter-field and atom-number correlations in optical lattices by global nondestructive addressing ,\ https://doi.org/10.1103/PhysRevA.92.013613 journal journal Ph...
2015 doi
-
[44]
author author T. A. \ Corcovilos , author S. K. \ Baur , author J. M. \ Hitchcock , author E. J. \ Mueller ,\ and\ author R. G. \ Hulet ,\ title title Detecting antiferromagnetism of atoms in an optical lattice via optical bragg scattering ,\ https://doi.org/10.1103/PhysRevA.8...
2010 doi
-
[45]
author author J. S. \ Douglas \ and\ author K. Burnett ,\ title title Light scattering from ultracold atomic gases in optical lattices at finite temperature ,\ https://doi.org/10.1103/PhysRevA.84.033637 journal journal Phys. Rev. A \ volume 84 ,\ pages 033637 ( year 2011 ) NoStop
2011 doi
-
[46]
author author T. W. \ Kibble ,\ title title Topology of cosmic domains and strings ,\ @noop journal journal Journal of Physics A: Mathematical and General \ volume 9 ,\ pages 1387 ( year 1976 ) NoStop
1976
-
[47]
author author W. H. \ Zurek ,\ title title Cosmological experiments in superfluid helium? ,\ @noop journal journal Nature \ volume 317 ,\ pages 505 ( year 1985 ) NoStop
1985
-
[48]
Del Campo \ and\ author W
author author A. Del Campo \ and\ author W. H. \ Zurek ,\ title title Universality of phase transition dynamics: Topological defects from symmetry breaking ,\ @noop journal journal International Journal of Modern Physics A \ volume 29 ,\ pages 1430018 ( year 2014 ) NoStop
2014
-
[49]
Guerin , author M
author author W. Guerin , author M. Rouabah ,\ and\ author R. Kaiser ,\ title title Light interacting with atomic ensembles: collective, cooperative and mesoscopic effects ,\ @noop journal journal Journal of Modern Optics \ volume 64 ,\ pages 895 ( year 2017 ) NoStop
2017
-
[50]
Cohen-Tannoudji , author J
author author C. Cohen-Tannoudji , author J. Dupont-Roc ,\ and\ author G. Grynberg ,\ @noop title Atom-photon interactions: basic processes and applications \ ( publisher John Wiley & Sons ,\ year 2024 ) NoStop
2024
-
[51]
Wolf , author J
author author S. Wolf , author J. Wechs , author J. von Zanthier ,\ and\ author F. Schmidt-Kaler ,\ title title Visibility of young's interference fringes: Scattered light from small ion crystals ,\ https://doi.org/10.1103/PhysRevLett.116.183002 journal journal Phys. Rev. Lett...
2016 doi
-
[52]
Sachdev ,\ title title Quantum phase transitions ,\ @noop journal journal Physics world \ volume 12 ,\ pages 33 ( year 1999 ) NoStop
author author S. Sachdev ,\ title title Quantum phase transitions ,\ @noop journal journal Physics world \ volume 12 ,\ pages 33 ( year 1999 ) NoStop
1999
-
[53]
Capogrosso-Sansone , author N
author author B. Capogrosso-Sansone , author N. V. \ Prokof'ev ,\ and\ author B. V. \ Svistunov ,\ title title Phase diagram and thermodynamics of the three-dimensional Bose-Hubbard model ,\ https://doi.org/10.1103/PhysRevB.75.134302 journal journal Phys. Rev. B \ volume 75 ,\...
2007 doi
-
[54]
author author K. M. \ Jones , author E. Tiesinga , author P. D. \ Lett ,\ and\ author P. S. \ Julienne ,\ title title Ultracold photoassociation spectroscopy: Long-range molecules and atomic scattering ,\ https://doi.org/10.1103/RevModPhys.78.483 journal journal Rev. Mod. Phys...
2006 doi
-
[55]
Polkovnikov ,\ title title Universal adiabatic dynamics in the vicinity of a quantum critical point ,\ https://doi.org/10.1103/PhysRevB.72.161201 journal journal Phys
author author A. Polkovnikov ,\ title title Universal adiabatic dynamics in the vicinity of a quantum critical point ,\ https://doi.org/10.1103/PhysRevB.72.161201 journal journal Phys. Rev. B \ volume 72 ,\ pages 161201 ( year 2005 ) NoStop
2005 doi
-
[56]
Pekker , author B
author author D. Pekker , author B. Wunsch , author T. Kitagawa , author E. Manousakis , author A. S. \ S rensen ,\ and\ author E. Demler ,\ title title Signatures of the superfluid to Mott insulator transition in equilibrium and in dynamical ramps ,\ https://doi.org/10.1103/P...
2012 doi
-
[57]
Facchinetti , author S
author author G. Facchinetti , author S. D. \ Jenkins ,\ and\ author J. Ruostekoski ,\ title title Storing light with subradiant correlations in arrays of atoms ,\ https://doi.org/10.1103/PhysRevLett.117.243601 journal journal Phys. Rev. Lett. \ volume 117 ,\ pages 243601 ( ye...
2016 doi
-
[58]
author author M. O. \ Scully ,\ title title Single photon subradiance: Quantum control of spontaneous emission and ultrafast readout ,\ https://doi.org/10.1103/PhysRevLett.115.243602 journal journal Phys. Rev. Lett. \ volume 115 ,\ pages 243602 ( year 2015 ) NoStop
2015 doi
-
[59]
He , author L
author author Y. He , author L. Ji , author Y. Wang , author L. Qiu , author J. Zhao , author Y. Ma , author X. Huang , author S. Wu ,\ and\ author D. E. \ Chang ,\ title title Geometric control of collective spontaneous emission ,\ https://doi.org/10.1103/PhysRevLett.125.2136...
2020 doi
-
[60]
Gross \ and\ author W
author author C. Gross \ and\ author W. S. \ Bakr ,\ title title Quantum gas microscopy for single atom and spin detection ,\ @noop journal journal Nature Physics \ volume 17 ,\ pages 1316 ( year 2021 ) NoStop
2021
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