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REVIEW 4 major objections 5 minor 48 references

Fast momentum-selective transport of Bose-Einstein condensates via controlled non-adiabatic dynamics in optical lattices

T0 review · 4 major / 5 minor · reviewed 2026-08-15 · deepseek-v4-flash

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Pith's one-line read Non-adiabatic lattice transport can stay momentum-pure at 'magic' times.

desk verdict The magic-time observation is real, but the mechanism claim is not yet supported—the variational model is fitted to the GPE and breaks down at the release time where purity is computed. read the letter →

arxiv 2509.16367 v2 pith:MAK7HP4Z submitted 2025-09-19 cond-mat.quant-gas physics.atom-phquant-ph

Raja Chamakhi , Dana Codruta Marinica , Naceur Gaaloul , Eric Charron , Mourad Telmini This is my paper · ORCID
classification cond-mat.quant-gasphysics.atom-phquant-ph PACS 03.75.Lm03.75.Kk
keywords Bose-Einsteincondensateopticallatticenon-adiabatictransportmagictimesintra-sitebreathingmomentumselectivityGross-Pitaevskiiequationtight-bindingregime
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

Working with a one-dimensional optical lattice of depth $V_0 \simeq 104 E_r$, the paper asks whether a Bose-Einstein condensate can be loaded, accelerated, and released in a few hundred microseconds without losing momentum purity. Its answer is yes: the population of the target momentum component oscillates as the ramp durations are varied and reaches near unity at specific 'magic' times synchronized with the breathing motion of the atoms inside each lattice well. The case is made with Gross-Pitaevskii simulations of the full loading-acceleration-release sequence, backed by a variational Gaussian model that reproduces the intra-site width dynamics. If correct, the result shows that the usual trade-off between speed and monochromaticity can be bypassed without optimal control or phase compensation.

What carries the argument

The central object is the intra-site breathing mode, described by the time-dependent width $\sigma(t)$ of the condensate wave packet inside one lattice well and governed by the Ermakov-type equation (25). The global momentum distribution is built from the tight-binding ansatz (21), a coherent sum of identical single-site wave packets, whose Fourier transform yields the diffraction formula (23) with the envelope $\exp[-\sigma^2(t_f)k^2]$ from (26). That identity is what connects the final spatial width to momentum purity and makes the magic times coincide with particular phases of the breathing oscillation.

What would settle it

Run the full sequence with $t_L=100$ $\mu$s and scan $t_{\rm acc}$ in steps of about 1 $\mu$s near 970 to 980 $\mu$s, measuring the final momentum distribution by time-of-flight absorption imaging. If the central peak population $P_0$ does not oscillate with a period near $6.85\ \mu$s or never approaches unity at the predicted magic times, the mechanism is falsified; a corroborating check is that the intra-site width at the end of release should be anti-correlated with the final momentum width.

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Extended reading notes

Core claim

The central claim is that non-adiabaticity need not spoil spectral purity. For a fixed fast loading time $t_L = 0.1$ ms, the central momentum population $P_0$ at the target $k = 190 k_L$ oscillates as the acceleration duration $t_{\rm acc}$ is varied, periodically reaching values close to unity; similar 'magic' values appear for the loading time itself. The oscillation period, about $6.85\ \mu$s, matches the harmonic breathing period $\pi/\omega_{\rm OL} \approx 6.3\ \mu$s of a single lattice well. The paper attributes this to intra-site breathing: the wave packet width oscillates coherently during the ramp, and because the final momentum envelope is the Fourier transform of the single-site width, a broad final width produces a narrow momentum distribution. The GPE numerics, the variational Gaussian model, and a comparison with the linear Schrödinger equation all support this picture, with interactions able to shift or degrade the effect depending on the dynamical context.

Load-bearing premise

The load-bearing assumption is that during fast loading and acceleration the condensate remains a coherent sum of identical, non-overlapping single-site Gaussian wave packets, so the final momentum envelope is set by one width $\sigma(t_f)$; if populated sites dephase, differ from one another, or lose the Gaussian shape during release, the breathing explanation of the magic times fails.

Editorial extensions

If this is right

  • A 100 $\mu$s loading time does not force a broad momentum distribution: choosing $t_{\rm acc}$ at a magic time restores a near-monochromatic output.
  • Magic times exist for both the loading/release stage and the acceleration stage, so the protocol has two independent timing knobs.
  • The final intra-site width $\Delta x(t_f)$ is a real-space predictor of spectral purity and can be monitored during release.
  • In the tight-binding regime the protocol is 3–6 times faster than adiabatic ramps while keeping high transfer fidelity.
  • No special initial state preparation, phase compensation, or optimized pulse engineering is required; the same ramp shapes are used throughout.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Editorial extension: if the magic-time period scales with the lattice-well frequency, varying the lattice depth would shift the magic times; the paper does not test this scaling.
  • Editorial extension: because the mechanism lives in single-site breathing rather than the Bloch band structure, it could plausibly survive disorder or superlattice potentials where each well still breathes coherently—an experiment the paper does not discuss.
  • Editorial extension: the observed interaction-induced dephasing suggests tuning the s-wave scattering length with a Feshbach resonance could deliberately shift magic times, turning interactions into a control parameter rather than a disturbance.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

4 major / 5 minor

Summary. The manuscript reports one-dimensional Gross-Pitaevskii simulations of a BEC transport protocol consisting of non-adiabatic loading into a deep optical lattice, coherent acceleration with a symmetric trapezoidal ramp, and non-adiabatic release into free space. The final momentum distribution at the target momentum 190 ħk_L is computed as a function of the loading time and the acceleration duration. The paper finds periodic "magic times" at which the central momentum population P0 is maximized, and proposes that intra-site breathing, tracked through the single-site spatial width Δx(t), controls the final spectral purity. A Gaussian variational model with an Ermakov-type equation is introduced to support this interpretation, and the paper claims practical speed advantages over adiabatic protocols for quantum sensing applications.

Significance. The central numerical observation—oscillatory P0 with ramp durations, with near-unity maxima at specific times—is a concrete and potentially useful result for non-adiabatic lattice transport, and it is directly visible in Figs. 3 and 7 without relying on the variational model. The full-protocol simulation with realistic 87Rb parameters is a strength, and the parameter set is described in enough detail to be reproducible in principle. However, the claimed breathing mechanism, the quantitative speedup factors, and the transfer-fidelity claims are not established as written, and the model used to explain the mechanism has internal consistency problems precisely at the time where P0 is evaluated. The core numerical observation is defensible, but the interpretation and the advertised quantitative advantages need substantial revision.

major comments (4)
  1. [Section V, Eqs. (20)–(26)] Equation (26) evaluates the momentum envelope as exp[-σ(t_f)^2 k^2] at absolute momentum k, while Eq. (23) places the diffraction peaks at k = 2m k_L, i.e., at k = 190 k_L for the central order. With the final FWHM values of order 0.15 μm shown in Fig. 4 (σ ≈ 0.06 μm), the exponent at k = 190 k_L is of order -10^4, so the formula as written cannot produce the near-unity P0 values displayed in Fig. 3. The envelope must be evaluated at the relative momentum k - 190 k_L, or the Gaussian ansatz must include the transport phase. Without this correction, the claimed quantitative link between σ(t_f) and P0 is not demonstrated.
  2. [Section V and Fig. 5 caption] The variational model is initialized at the fourth local maximum of the GPE Δx(t) with σ(t_i) taken from the GPE solution, so the agreement shown in Fig. 5 is partly by construction and does not independently confirm the breathing mechanism. Moreover, the caption and Section VI state that at the end of release the expanding wave function overlaps neighboring sites, which breaks the single-site Gaussian decomposition underlying Eq. (26); P(k) is nevertheless evaluated at exactly this final time t_f. The paper should provide a direct GPE-based test of the proposed mechanism, for example by comparing the predicted envelope with the full momentum spectrum at the sideband positions, or by evolving the variational model from independent initial conditions and showing that it predicts the magic times.
  3. [Abstract and Section VII] The quantitative claims in the abstract—"speedup factors of 3 to 6 compared to adiabatic protocols while maintaining high transfer fidelities" (and the full-text variant "faster than adiabatic protocols")—are not supported by any comparison in the body of the paper: no reference adiabatic protocol, its duration, or a fidelity threshold is defined, and no speedup calculation is presented. These claims should be removed or replaced with a defined comparison, such as the loading/acceleration duration needed to reach a specified P0 in the adiabatic limit versus at a magic time.
  4. [Section III C and Fig. 7] Because t_R = t_L, the scan of P0 versus t_L in Fig. 7 varies both the loading and the release ramp durations simultaneously. The text nevertheless attributes the observed oscillations to "magic loading times" synchronized with the breathing period. Since the release stage has the same functional form and duration, the data do not isolate the loading dynamics; a separate scan with fixed loading time and variable release time is needed to support the loading-specific magic-time claim.
minor comments (5)
  1. [Eq. (25)] The time-dependent lattice-site frequency ω_OL(t) is used but never defined; please give its explicit relation to the lattice depth V0 and the ramp functions, and state the initial conditions σ(0) and dσ/dt(0) used in the variational propagation.
  2. [Section IV] The integration windows defining P0, P±2, and P_other are described only as "matching the Brillouin zone width"; please specify the exact boundaries and normalization so that the reported probabilities can be reproduced.
  3. [Fig. 7 inset] The text states that P_other decays exponentially with t_L, but no fit or decay constant is reported; either add a fit or soften the statement to a qualitative observation.
  4. [Abstract] There are two inconsistent versions of the abstract: one includes the speedup factors and high-fidelity claim, while the full-text version only says "faster than adiabatic protocols"; please harmonize these statements.
  5. [Section III B] Please clarify whether Nδ is the number of momentum kicks per linear ramp or for the two ramps combined, since the text says "initial and final linear ramps" but the formula appears to count a single ramp.

Circularity Check

1 steps flagged · score 2.0 of 10

Central magic-time result is obtained directly from GPE simulation; only the supporting variational model is seeded from GPE data, a minor non-load-bearing circularity.

  1. fitted input called prediction [Section V (Fig. 5 caption; text near Eq. 25)]
    "The variational propagation is initialized at the time t_i of the fourth local maximum of Δx(t), as obtained from the GPE solution. The corresponding value of σ(t_i) is set from the numerical result to ensure accurate matching at the starting point."

    The model's claimed quantitative reproduction of the GPE breathing dynamics is not an independent prediction: both the start time t_i and the initial width σ(t_i) are read off the GPE trajectory it is being compared with, so the early-time agreement is enforced by construction. The subsequent Ermakov evolution is genuinely dynamical, so this is a mild non-independence; moreover it does not affect the central magic-time result, which is obtained directly from the full GPE simulation (Fig. 3) rather than from the variational model.

full rationale

Central claim is self-contained: magic times are identified by direct numerical solution of the time-dependent GPE (Sections III-IV), with no fitted parameter entering P0. The variational model (Section V) is explicitly seeded from the GPE solution, so its agreement is a consistency check rather than an ab initio prediction; this is the only mild circularity found and it is not load-bearing for the transport prediction. Equation (26) is a Fourier-transform identity for a Gaussian envelope, so the width-momentum correlation is a mathematical relation rather than a fitted result; using it as an 'explanation' is a consistency statement, not a hidden reduction of the magic-time finding. The paper itself flags the key limitation at the release time: 'Discrepancies emerge at the end of the release stage, when the wave function freely expands and begins to overlap with neighboring sites, breaking the validity of the single-site Gaussian approximation.' This weakens the mechanistic claim at exactly the time where P0 is evaluated, but it is an explicit limitation, not a circular derivation. No load-bearing self-citation or imported uniqueness theorem is present; Refs. 36-37 and 45-46 are contextual or standard results. Overall, the central numerical prediction has independent content; score 2 reflects only the minor fitted-input non-independence of the supporting variational model.

Assumptions & free parameters 1 free parameters · 5 assumptions · 0 invented entities

The central claim rests on a standard GPE model with stated physical inputs, plus a set of modeling assumptions needed for the mechanism interpretation. The main fitted quantity is the initial width of the variational Gaussian, read from the GPE trajectory, so the variational model is a fit dressed as a prediction. No new entities are introduced. The magic times themselves are not free parameters; they are the observed output of the simulation.

free parameters (1)
  • Initial variational width sigma(t_i) = taken from the GPE result at the fourth local maximum of Delta x(t)
    The variational model is initialized from the full GPE simulation it is intended to explain, so agreement during later evolution is a consistency check, not an independent prediction (Section V, Figure 5).
assumptions (5)
  • domain assumption The condensate dynamics are governed by the 1D mean-field Gross-Pitaevskii equation with g_1D = 2 hbar^2 a_s / (m a_perp^2).
    Section II states the model. It inherits the dilute-gas mean-field approximation and the assumption of frozen transverse dynamics.
  • domain assumption Lattice depth V0 about 104 E_r justifies the tight-binding picture: negligible tunneling and identical dynamics in each of the more than 800 populated sites.
    Section V, before Eq. (21). This is required for the coherent-sum diffraction formula and for the single-site Gaussian model.
  • ad hoc to paper Each lattice site is approximated as a harmonic oscillator with frequency omega_OL, so intra-site breathing obeys a Gaussian Ermakov equation (Eq. 25).
    Used to compute sigma(t) and to identify the breathing period pi/omega_OL about 6.3 microseconds, which is compared with the observed P0 oscillation period of about 6.85 microseconds. Anharmonic corrections are not modeled, and the periods are not exactly equal.
  • domain assumption The final momentum envelope is exp(-sigma^2(t_f) k^2), so the Gaussian single-site width fully determines the sideband populations.
    Eq. (26). This is the Fourier relation that links Delta x(t_f) to spectral purity. The paper notes the Gaussian approximation fails after release, so this link is an approximate diagnostic.
  • standard math The split-operator Fourier pseudospectral solver converges sufficiently on grids up to 2^18 points with Delta t = 100 ns.
    Section II describes the method, but no convergence tests or error estimates are reported, so the accuracy of the numerics is assumed.

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Pith. "Pith review of Fast momentum-selective transport of Bose-Einstein condensates via controlled non-adiabatic dynamics in optical lattices." pith.science (2026). https://pith.science/paper/MAK7HP4Z

@misc{pith2026250916367,
  author       = {Pith},
  title        = {Pith review of: Fast momentum-selective transport of Bose-Einstein condensates via controlled non-adiabatic dynamics in optical lattices},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/MAK7HP4Z}},
  note         = {Machine review of arXiv:2509.16367}
}
read the original abstract

We present a detailed numerical study of a protocol for momentum-selective transport of a Bose-Einstein condensate (BEC) in a one-dimensional optical lattice, achieving narrow momentum distributions through controlled non-adiabatic dynamics. The protocol consists of non-adiabatic loading into the lattice, coherent acceleration using a symmetric trapezoidal acceleration profile, and non-adiabatic release into free space. Using the time-dependent Gross-Pitaevskii equation, we simulate the full sequence and analyze the role of non-adiabatic excitations on the final momentum distribution. We identify the intra-site breathing dynamics as the dominant mechanism governing spectral purity under fast loading conditions. By tracking the condensate's spatial width during the evolution, we demonstrate a direct correlation with the final momentum spread. A variational model based on a Gaussian ansatz quantitatively reproduces the observed dynamics and provides physical insight into the breathing mechanism. Our results reveal the existence of "magic" times, i.e., specific loading or acceleration durations synchronized with the breathing oscillation period, where quasi-monochromatic momentum distributions can be achieved even with loading times as short as 100 microseconds. In the tight-binding regime, this approach offers speedup factors of 3 to 6 compared to adiabatic protocols while maintaining high transfer fidelities, providing a practical route to coherent transport for quantum sensors operating under stringent timing constraints.

Figures

Figures reproduced from arXiv: 2509.16367 by the authors.

Figure 1
Figure 1. FIG. 1. Transport protocol and evolution of the condensate density. [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. Momentum distribution of the condensate after the trans [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 4
Figure 4. FIG. 4. Evolution of the intra-site spatial width [PITH_FULL_IMAGE:figures/full_fig_p006_4.png] view at source ↗
Figures from the paper (3 more)
Figure 5
Figure 5. Figure 5: FIG. 5. Comparison between the full numerical simulation and the variational model for the intra-site spatial dynamics of the condensate. The [PITH_FULL_IMAGE:figures/full_fig_p007_5.png]
Figure 6
Figure 6. Figure 6: FIG. 6. Impact of interactions on the intra-site dynamics of the condensate wave packet. The time evolution of the spatial width [PITH_FULL_IMAGE:figures/full_fig_p008_6.png]
Figure 7
Figure 7. Figure 7: FIG. 7. Final momentum-state populations as a function of the lat [PITH_FULL_IMAGE:figures/full_fig_p009_7.png]

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Works this paper leans on

48 extracted references · 25 canonical work pages

  1. [1]

    Bloch ,\ title title Ultracold quantum gases in optical lattices , \ https://doi.org/10.1038/nphys138 journal journal Nat

    author author I. Bloch ,\ title title Ultracold quantum gases in optical lattices , \ https://doi.org/10.1038/nphys138 journal journal Nat. Phys. \ volume 1 ,\ pages 23--30 ( year 2005 ) NoStop

    doi:10.1038/nphys138 2005

  2. [2]

    Morsch \ and\ author M

    author author O. Morsch \ and\ author M. Oberthaler ,\ title title Dynamics of Bose-Einstein condensates in optical lattices , \ https://doi.org/10.1103/RevModPhys.78.179 journal journal Rev. Mod. Phys. \ volume 78 ,\ pages 179--215 ( year 2006 ) NoStop

    doi:10.1103/revmodphys.78.179

  3. [3]

    Bloch , author J

    author author I. Bloch , author J. Dalibard ,\ and\ author S. Nascimb \`e ne ,\ title title Quantum simulations with ultracold quantum gases , \ https://doi.org/10.1038/nphys2259 journal journal Nat. Phys. \ volume 8 ,\ pages 267--276 ( year 2012 ) NoStop

    doi:10.1038/nphys2259

  4. [4]

    Bongs , author M

    author author K. Bongs , author M. Holynski , author J. Vovrosh , author P. Bouyer , author G. Condon , author E. Rasel , author C. Schubert , author W. P. \ Schleich ,\ and\ author A. Roura ,\ title title Taking atom interferometric quantum sensors from the laboratory to real-world applications , \ https://doi.org/10.1038/s42254-019-0117-4 journal journa...

    doi:10.1038/s42254-019-0117-4

  5. [5]

    Battesti , author P

    author author R. Battesti , author P. Clad \'e , author S. Guellati-Kh \'e lifa , author C. Schwob , author B. Gr \'e maud , author F. Nez , author L. Julien ,\ and\ author F. Biraben ,\ title title Bloch Oscillations of Ultracold Atoms: A Tool for a Metrological Determination of h/m , \ https://doi.org/10.1103/PhysRevLett.92.253001 journal journal Phys. ...

    work page doi:10.1103/physrevlett.92.253001

  6. [6]

    Clad\'e , author E

    author author P. Clad\'e , author E. de Mirandes , author M. Cadoret , author S. Guellati-Kh\'elifa , author C. Schwob , author F. Nez , author L. Julien ,\ and\ author F. Biraben ,\ title title Determination of the fine structure constant based on B loch oscillations of ultracold atoms in a vertical optical lattice , \ https://doi.org/10.1103/PhysRevLett...

    work page doi:10.1103/physrevlett.96.033001

  7. [7]

    author author G. D. \ McDonald , author C. C. N. \ Kuhn , author K. S. \ Hardman , author S. Bennetts , author P. J. \ Everitt , author P. A. \ Altin , author J. E. \ Debs , author J. D. \ Close ,\ and\ author N. P. \ Robins ,\ title title Large momentum transfer via Bloch oscillations in an optical lattice , \ https://doi.org/10.1103/PhysRevA.88.053620 j...

    work page doi:10.1103/physreva.88.053620

  8. [8]

    \ Kirsten-Siem , author F

    author author J.-N. \ Kirsten-Siem , author F. Fitzek , author C. Schubert , author E. M. \ Rasel , author N. Gaaloul ,\ and\ author K. Hammerer ,\ title title Large-momentum-transfer atom interferometers with rad -accuracy using bragg diffraction , \ https://doi.org/10.1103/PhysRevLett.131.033602 journal journal Phys. Rev. Lett. \ volume 131 ,\ pages 033...

    work page doi:10.1103/physrevlett.131.033602

Show all 48 references
  1. [9]

    Wu \ and\ author Q

    author author B. Wu \ and\ author Q. Niu ,\ title title Nonlinear L andau- Z ener tunneling , \ https://doi.org/10.1103/PhysRevA.61.023402 journal journal Phys. Rev. A \ volume 61 ,\ pages 023402 ( year 2000 ) NoStop

    doi

  2. [10]

    Geiger , author M

    author author R. Geiger , author M. Trupke , author J. Reichel ,\ and\ author J. Schmiedmayer ,\ title title Bloch Oscillations in a Simple Optical Lattice , \ https://doi.org/10.1103/PhysRevLett.105.115302 journal journal Phys. Rev. Lett. \ volume 105 ,\ pages 115302 ( year 2...

    doi

  3. [11]

    Müntinga , author H

    author author H. Müntinga , author H. Ahlers , author M. Krutzik , author A. Wenzlawski , author S. Arnold , author D. Becker , author K. Bongs , author H. Dittus , author H. Duncker , author N. Gaaloul , author C. Gherasim , author E. Giese , author C. Grzeschik , author J. H...

  4. [12]

    Barrett , author L

    author author B. Barrett , author L. Antoni-Micollier , author L. Chichet , author B. Battelier , author T. L \'e v \`e que , author A. Landragin ,\ and\ author P. Bouyer ,\ title title Dual matter-wave inertial sensors in weightlessness , \ https://doi.org/10.1038/ncomms13786...

    doi

  5. [13]

    Müller , author S.-W

    author author H. Müller , author S.-W. \ Chiow , author S. Herrmann ,\ and\ author S. Chu ,\ title title Atom-Interferometry Tests of the Isotropy of Post-Newtonian Gravity , \ https://doi.org/10.1103/PhysRevLett.100.180405 journal journal Phys. Rev. Lett. \ volume 100 ,\ page...

    doi

  6. [14]

    author author G. D. \ McDonald , author C. C. N. \ Kuhn , author S. Bennetts , author J. E. \ Debs , author K. S. \ Hardman , author M. T. \ Johnsson , author J. D. \ Close ,\ and\ author N. P. \ Robins ,\ title title 80 k momentum separation with Bloch oscillations in an opti...

    doi

  7. [15]

    Sugarbaker , author S

    author author A. Sugarbaker , author S. M. \ Dickerson , author J. M. \ Hogan , author D. M. S. \ Johnson ,\ and\ author M. A. \ Kasevich ,\ title title Enhanced Atom Interferometer Readout through the Application of Phase Shear , \ https://doi.org/10.1103/PhysRevLett.111.1130...

    doi

  8. [16]

    Savoie , author M

    author author D. Savoie , author M. Altorio , author B. Fang , author L. A. \ Sidorenkov , author R. Geiger ,\ and\ author A. Landragin ,\ title title Interleaved atom interferometry for high-sensitivity inertial measurements , \ https://doi.org/10.1126/sciadv.aau7948 journal ...

    doi

  9. [17]

    Asenbaum , author C

    author author P. Asenbaum , author C. Overstreet , author T. Kovachy , author D. D. \ Brown , author J. M. \ Hogan ,\ and\ author M. A. \ Kasevich ,\ title title Atom-Interferometric Test of the Equivalence Principle at the 10^ -12 Level , \ https://doi.org/10.1103/PhysRevLett...

    doi

  10. [18]

    Dupont , author F

    author author N. Dupont , author F. Arrouas , author L. Gabardos , author N. Ombredane , author J. Billy , author B. Peaudecerf , author D. Sugny ,\ and\ author D. Guéry-Odelin ,\ title title Phase-space distributions of B ose– E instein condensates in an optical lattice: opti...

    doi

  11. [19]

    Dionis , author B

    author author E. Dionis , author B. Peaudecerf , author S. Guérin , author D. Guéry‑Odelin ,\ and\ author D. Sugny ,\ title title Optimal control of a B ose– E instein condensate in an optical lattice: the non‑linear and two‑dimensional cases , \ https://doi.org/10.3389/frqst....

  12. [20]

    ockenberger , author R. Kosloff , author I. Kuprov , author B. Luy , author S. Schirmer , author T. Schulte-Herbr\

    author author S. J. \ Glaser , author U. Boscain , author T. Calarco , author C. P. \ Koch , author W. K\"ockenberger , author R. Kosloff , author I. Kuprov , author B. Luy , author S. Schirmer , author T. Schulte-Herbr\"uggen , author D. Sugny ,\ and\ author F. K. \ Wilhelm ,...

    doi

  13. [21]

    ager , author K. Wintersperger , author C. Str\

    author author M. Reitter , author J. N\"ager , author K. Wintersperger , author C. Str\"ater , author I. Bloch , author A. Eckardt ,\ and\ author U. Schneider ,\ title title Interaction dependent heating and atom loss in a periodically driven optical lattice , \ https://doi.or...

    doi

  14. [22]

    author author C. P. \ Koch , author U. Boscain , author T. Calarco , author G. Dirr , author S. Filipp , author S. J. \ Glaser , author R. Kosloff , author S. Montangero , author T. Schulte-Herbr \"u ggen , author D. Sugny ,\ and\ author F. K. \ Wilhelm ,\ title title Quantum ...

    doi

  15. [23]

    Ansel , author E

    author author Q. Ansel , author E. Dionis , author F. Arrouas , author B. Peaudecerf , author S. Guérin , author D. Guéry-Odelin ,\ and\ author D. Sugny ,\ title title Introduction to theoretical and experimental aspects of quantum optimal control , \ https://doi.org/10.1088/1...

    doi

  16. [24]

    Rodzinka , author E

    author author T. Rodzinka , author E. Dionis , author L. Calmels , author S. Beldjoudi , author A. Béguin , author D. Guéry-Odelin , author B. Allard , author D. Sugny ,\ and\ author A. Gauguet ,\ title title Optimal Floquet state engineering for large scale atom interferomete...

    doi

  17. [25]

    Chen , author A

    author author X. Chen , author A. Ruschhaupt , author S. Schmidt , author A. del Campo , author D. Gu\'ery-Odelin ,\ and\ author J. G. \ Muga ,\ title title Fast optimal frictionless atom cooling in harmonic traps: Shortcut to adiabaticity , \ https://doi.org/10.1103/PhysRevLe...

    doi

  18. [26]

    Torrontegui , author S

    author author E. Torrontegui , author S. Ibáñez , author S. Martínez-Garaot , author M. Modugno , author A. del Campo , author D. Guéry-Odelin , author A. Ruschhaupt , author X. Chen ,\ and\ author J. G. \ Muga ,\ title title Chapter 2 - shortcuts to adiabaticity , \ in\ https...

    doi

  19. [27]

    Gu\'ery-Odelin , author A

    author author D. Gu\'ery-Odelin , author A. Ruschhaupt , author A. Kiely , author E. Torrontegui , author S. Mart\' nez-Garaot ,\ and\ author J. G. \ Muga ,\ title title Shortcuts to adiabaticity: Concepts, methods, and applications , \ https://doi.org/10.1103/RevModPhys.91.04...

    doi

  20. [28]

    Whitty , author A

    author author C. Whitty , author A. Kiely ,\ and\ author A. Ruschhaupt ,\ title title Quantum control via enhanced shortcuts to adiabaticity , \ https://doi.org/10.1103/PhysRevResearch.2.023360 journal journal Phys. Rev. Res. \ volume 2 ,\ pages 023360 ( year 2020 ) NoStop

    doi

  21. [29]

    Zhou , author S

    author author X. Zhou , author S. Jin ,\ and\ author J. Schmiedmayer ,\ title title Shortcut loading a B ose– E instein condensate into an optical lattice , \ https://doi.org/10.1088/1367-2630/aac11b journal journal New J. Phys. \ volume 20 ,\ pages 055005 ( year 2018 ) NoStop

    doi

  22. [30]

    Whitty , author A

    author author C. Whitty , author A. Kiely ,\ and\ author A. Ruschhaupt ,\ title title Robustness of enhanced shortcuts to adiabaticity in lattice transport , \ https://doi.org/10.1103/PhysRevA.105.013311 journal journal Phys. Rev. A \ volume 105 ,\ pages 013311 ( year 2022 ) NoStop

    doi

  23. [31]

    author author C. A. \ Weidner , author H. Yu , author R. Kosloff ,\ and\ author D. Z. \ Anderson ,\ title title Atom interferometry using a shaken optical lattice , \ https://doi.org/10.1103/PhysRevA.95.043624 journal journal Phys. Rev. A \ volume 95 ,\ pages 043624 ( year 201...

    doi

  24. [32]

    author author K. E. \ McAlpine , author D. Gochnauer ,\ and\ author S. Gupta ,\ title title Excited-band bloch oscillations for precision atom interferometry , \ https://doi.org/10.1103/PhysRevA.101.023614 journal journal Phys. Rev. A \ volume 101 ,\ pages 023614 ( year 2020 ) NoStop

    doi

  25. [33]

    LeDesma , author K

    author author C. LeDesma , author K. Mehling ,\ and\ author M. Holland ,\ title title Vector atom accelerometry in an optical lattice , \ https://doi.org/10.1126/sciadv.adt7480 journal journal Sci. Adv. \ volume 11 ,\ pages eadt7480 ( year 2025 ) NoStop

    doi

  26. [34]

    Chai , author E

    author author X. Chai , author E. Nolasco-Martinez , author X. Liang , author J. L. \ Tanlimco , author E. Q. \ Simmons , author E. Zhu , author R. Sajjad , author H. Mas , author S. N. \ Halawani , author A. Cao ,\ and\ author D. M. \ Weld ,\ https://arxiv.org/abs/2506.11881 ...

    2025 arXiv

  27. [35]

    Clad\'e , author M

    author author P. Clad\'e , author M. Andia ,\ and\ author S. Guellati-Kh\'elifa ,\ title title Improving efficiency of bloch oscillations in the tight-binding limit , \ https://doi.org/10.1103/PhysRevA.95.063604 journal journal Phys. Rev. A \ volume 95 ,\ pages 063604 ( year 2...

    doi

  28. [36]

    Chamakhi , author H

    author author R. Chamakhi , author H. Ahlers , author M. Telmini , author C. Schubert , author E. M. \ Rasel ,\ and\ author N. Gaaloul ,\ title title Species-selective lattice launch for precision atom interferometry , \ https://doi.org/10.1088/1367-2630/17/12/123002 journal j...

    doi

  29. [37]

    Chamakhi , author H

    author author R. Chamakhi , author H. Ahlers , author M. Telmini , author C. Schubert , author E. M. \ Rasel ,\ and\ author N. Gaaloul ,\ title title Reply to Comment on ‘Species-selective lattice launch for precision atom interferometry’ , \ https://doi.org/10.1088/1367-2630/...

    doi

  30. [38]

    author author C. J. \ Pethick \ and\ author H. Smith ,\ @noop title Bose--Einstein Condensation in Dilute Gases ,\ edition 2nd \ ed.\ ( publisher Cambridge University Press ,\ year 2008 ) NoStop

    2008

  31. [39]

    author author M. Olshanii ,\ title title Atomic Scattering in the Presence of an External Confinement and a Gas of Impenetrable Bosons , \ https://doi.org/10.1103/PhysRevLett.81.938 journal journal Phys. Rev. Lett. \ volume 81 ,\ pages 938--941 ( year 1998 ) NoStop

    doi

  32. [40]

    Salasnich , author A

    author author L. Salasnich , author A. Parola ,\ and\ author L. Reatto ,\ title title Effective wave equations for the dynamics of cigar-shaped and disk-shaped B ose condensates , \ https://doi.org/10.1103/PhysRevA.65.043614 journal journal Phys. Rev. A \ volume 65 ,\ pages 04...

    doi

  33. [41]

    Kosloff \ and\ author R

    author author D. Kosloff \ and\ author R. Kosloff ,\ title title A F ourier method solution for the time dependent Schrödinger equation as a tool in molecular dynamics , \ https://doi.org/https://doi.org/10.1016/0021-9991(83)90015-3 journal journal J. Comput. Phys. \ volume 52...

    doi

  34. [42]

    author author M. D. \ Feit \ and\ author J. A. \ Fleck ,\ title title Solution of the S chrödinger equation by a spectral method II : V ibrational energy levels of triatomic molecules , \ https://doi.org/10.1063/1.444501 journal journal J. Chem. Phys. \ volume 78 ,\ pages 301-...

    doi

  35. [43]

    author author M. L. \ Chiofalo , author S. Succi ,\ and\ author M. P. \ Tosi ,\ title title Ground state of trapped interacting bose-einstein condensates by an explicit imaginary-time algorithm , \ https://doi.org/10.1103/PhysRevE.62.7438 journal journal Phys. Rev. E \ volume ...

    doi

  36. [44]

    Bao \ and\ author Q

    author author W. Bao \ and\ author Q. Du ,\ title title Computing the ground state solution of bose--einstein condensates by a normalized gradient flow , \ https://doi.org/10.1137/S1064827503422956 journal journal SIAM J. Sci. Comput. \ volume 25 ,\ pages 1674--1697 ( year 200...

    doi

  37. [45]

    Garcion , author Q

    author author C. Garcion , author Q. Bouton , author J. Lecoffre , author N. Fabre , author E. Charron , author G. Dutier ,\ and\ author N. Gaaloul ,\ title title Quantum description of atomic diffraction by material nanostructures , \ https://doi.org/10.1103/PhysRevResearch.6...

    doi

  38. [46]

    Lecoffre , author A

    author author J. Lecoffre , author A. Hadi , author M. Bruneau , author C. Garcion , author N. Fabre , author E. Charron , author N. Gaaloul , author G. Dutier ,\ and\ author Q. Bouton ,\ title title Measurement of C asimir- P older interaction for slow atoms through a materia...

    doi

  39. [47]

    author author V. M. \ P\'erez-Garc\' a , author H. Michinel , author J. I. \ Cirac , author M. Lewenstein ,\ and\ author P. Zoller ,\ title title Low Energy Excitations of a B ose- E instein Condensate: A Time-Dependent Variational Analysis , \ https://doi.org/10.1103/PhysRevL...

    doi

  40. [48]

    author author V. M. \ P\'erez-Garc\' a , author H. Michinel , author J. I. \ Cirac , author M. Lewenstein ,\ and\ author P. Zoller ,\ title title Dynamics of Bose-Einstein condensates: Variational solutions of the Gross-Pitaevskii equations , \ https://doi.org/10.1103/PhysRevA...

    doi

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