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REVIEW 3 major objections 6 minor 71 references

Emergence of nonequilibrium Lieb excitations in periodically driven strongly interacting bosons

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Pith's one-line read This paper claims that a periodically driven Tonks-Girardeau gas exhibits exact nonequilibrium Lieb-I and Lieb-II excitations whenever the initial drive phase makes the mapped fermions occupy a single Floquet-Fermi sea, with low-frequency…

desk verdict Exact Floquet spectral functions for a driven Tonks-Girardeau gas with a new Floquet-Fermi sea mechanism; a solid paper that needs a convergence study before acceptance. read the letter →

arxiv 2412.17443 v1 pith:O2NQ2I37 submitted 2024-12-23 cond-mat.quant-gas quant-ph

Hoshu Hiyane , Giedrius Žlabys , Thomas Busch , Shohei Watabe This is my paper · ORCID
classification cond-mat.quant-gasquant-ph PACS 67.85.-d05.30.Jp
keywords Tonks-GirardeaugasFloquetspectralfunctionLiebexcitationsBose-FermimappingperiodicdrivingFloquet-Fermisealow-frequencynonequilibrium
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

The paper analyzes a one-dimensional gas of strongly interacting Tonks-Girardeau bosons in an optical lattice when a strong periodic drive is suddenly switched on. It claims that the exact time-averaged Floquet spectral function of the gas develops sharp nonequilibrium Lieb-I and Lieb-II excitation branches, but only when the initial phase of the drive is such that the mapped noninteracting fermions fill a single Floquet-Fermi sea, $p_m \approx \delta_{m,\mathrm{FFS}}$. When that condition fails, the excitation spectrum becomes broad and featureless. In the low-frequency regime, the exact calculation shows the Lieb branches becoming linear across almost the entire Brillouin zone while the mapped fermions develop a wide Dirac-like linear dispersion. If correct, this gives an exact, parameter-free window into driven strongly correlated bosons without relying on an effective static Hamiltonian.

What carries the argument

The central object is the time-averaged Floquet spectral function $A_\ell(\omega) = -(1/\pi)\,\mathrm{Im}\,G^R_\ell(\omega)$, built from the Lehmann representation of the lesser and greater Green's functions together with the exact determinant formulas for the Tonks-Girardeau Green's functions obtained through the Bose-Fermi mapping. The load-bearing condition is the formation of a Floquet-Fermi sea, meaning the occupations $p_m(t_0)$ of the many-body Floquet states reduce to $\delta_{m,\mathrm{FFS}}$; this condition, controlled by the initial drive phase $t_0$, is what selects sharp Lieb-I and Lieb-II peaks. The exactness comes from computing the Green's functions directly from time-evolved single-particle fermionic orbitals, with no effective static Hamiltonian used anywhere in the derivation.

What would settle it

Repeat the numerical spectral function for the same parameters while progressively increasing the relative-time cutoff $t_{\mathrm{cut}}$ and decreasing the broadening $\epsilon$; if the sharp Lieb peaks shift, change weight, or disappear, the claimed nonequilibrium modes are artifacts of the finite simulation window.

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Extended reading notes

Core claim

By combining the Bose-Fermi mapping theorem with the Lehmann representation of the Floquet Green's function, the paper derives the exact time-averaged spectral function of the driven Tonks-Girardeau gas and identifies its sharp peaks with the Lieb-I and Lieb-II branches, the two boundary branches of particle-hole excitations of the one-dimensional Bose gas. The appearance of these peaks is governed by the occupations of the many-body Floquet states: when the drive starts at a phase such that the mapped fermions occupy a single Floquet-Fermi sea state, $p_m \approx \delta_{m,\mathrm{FFS}}$, the spectral function acquires poles at $E_m - E_{\mathrm{FFS}}$ and sharp Lieb modes emerge. For other starting phases the occupations of many Floquet states mix, no Fermi sea forms, and the spectrum broadens. In the low-frequency regime, where effective Hamiltonians from high-frequency expansions are not reliable, the exact spectral function reveals linear Lieb modes extending over nearly the whole first Brillouin zone, which the paper attributes to effective many-body interactions generated by the periodic drive rather than to the single-particle band structure alone.

Load-bearing premise

The central claim rests on the assumption that the finite relative-time cutoff $t_{\mathrm{cut}}$ and the broadening $\epsilon$ used in the numerical Fourier transform are at convergence, so the sharp peaks are genuine Floquet Lieb modes rather than finite-time artifacts.

Editorial extensions

If this is right

  • The nonequilibrium Lieb modes are properties of the driven many-body bosonic system and not of the mapped noninteracting fermions, since the fermionic spectral function shows a two-band quasi-energy spectrum while the bosonic one displays the Lieb-I, Lieb-II, and upper lattice branches.
  • Because the calculation is exact, the same approach covers arbitrarily low driving frequencies and strong drives, including regimes where Magnus or high-frequency expansions are uncontrolled.
  • The low-frequency linearization of the Lieb modes means many excitations share the same phase velocity, which the paper suggests could enhance mobility and be relevant for atomtronic devices.
  • The predicted sharp Lieb peaks and their linear dispersion are in principle observable with time-resolved photoemission spectroscopy implemented through quantum gas microscopes.

Reading between the lines

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

  • A natural experimental test would be to scan the initial drive phase $t_0$ continuously: the predicted sharp transition from well-defined Lieb modes to a broad spectrum whenever the Floquet-Fermi sea is lost is a distinctive, easy-to-look-for signature.
  • The same Floquet-Fermi-sea criterion is likely to control sharp spectral features in other exactly solvable one-dimensional models, such as hard-core anyons or the strongly interacting Hubbard model, where exact Green's functions are available.
  • If the low-frequency linearization survives finite-size and finite-temperature checks, it suggests a way to Floquet-engineer ballistic transport in strongly interacting bosonic systems without relying on special lattice geometries.
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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

3 major / 6 minor

Summary. The manuscript studies a one-dimensional Tonks-Girardeau (TG) gas in an optical lattice under a suddenly switched periodic drive. Using the Bose-Fermi mapping, the authors compute the exact time-averaged Floquet spectral function of the TG gas from time-evolved single-particle orbitals, without an effective-Hamiltonian approximation. They report sharp nonequilibrium Lieb-I and Lieb-II excitations for one representative initial drive time, t0^(1) = -751.75T, attribute their emergence to the formation of a Floquet-Fermi sea in the mapped fermions, and show a qualitatively different, broad spectrum for t0^(2) = -752T. In a low-frequency example (Ω = 2.5J, V0 = 5J), they report linear Lieb excitations extending across nearly the whole Brillouin zone. The Supplemental Material contains the derivation of the determinant formulas for the TG Green's functions, the numerical scheme, and supplementary movies of the t0 dependence.

Significance. If the central claim is correct, this is a valuable contribution: it extends the exact spectral-function method for TG gases to periodically driven systems, covers the low-frequency regime where Magnus expansions are difficult, uses no fitted parameters, and provides a concrete prediction for angle-resolved photoemission experiments with quantum gas microscopes. The static benchmark in Fig. 1(d) and the comparison with the known Lieb-mode structure are genuine strengths. The main weakness is that the sharp nonequilibrium Lieb peaks are established only through a numerical spectral function whose convergence parameters (tcut and epsilon) are not demonstrated, and the central 'Floquet-Fermi sea' criterion is stated purely qualitatively. Both issues are fixable within the manuscript's scope.

major comments (3)
  1. [Supplemental Material, 'Time-dependent Green's function and simulation scheme', Eqs. (23)-(26) and Fig. 1] The central numerical claim rests on convergence in the relative-time cutoff tcut and the broadening epsilon, but no convergence study is shown. The text asserts that the computed spectral function becomes independent of these parameters (footnote [11]) without displaying data. This matters because A_0(q,ω) is obtained by a Fourier transform truncated at tcut and regularized by a finite epsilon: insufficient tcut*epsilon can produce Gibbs-type oscillations, while overly large epsilon can merge nearby peaks or make broad features appear featureless. Since the sharp Lieb modes in Fig. 1(b) and their absence in Fig. 1(c) are the main results, please report the actual values of tcut and epsilon and show, for representative q and for both t0 values, the convergence of A_0(q,ω) as tcut is increased and epsilon is decreased. Also show that t0 ≈ -752T is far enough into the Floquet regime, e.g., by comparing A_0 for t0 and t0 - T/2 or by scanning |t0|.
  2. [Emergence of nonequilibrium Lieb modes, Figs. 2(a)-(b), 3, and Supplemental movies] The paper's abstract and conclusion state that nonequilibrium Lieb modes emerge if the underlying mapped fermions form a Floquet-Fermi sea, but the FFS condition is identified only by visual inspection of the imaginary parts of the lesser and greater Green's functions. No quantitative measure is given for 'clear particle and hole separation' versus 'broad and overlapping' occupations, and the approximation pm ≈ δ_m,FFS is not computed from the exact Floquet-state occupations. Because this condition is the proposed organizing principle for the t0 dependence, please define a quantitative FFS diagnostic (for example, the gap between occupied and empty quasi-energy branches, or the overlap between the particle and hole distributions) and evaluate it over the full t0 scan shown in the Supplemental movies. Without such a criterion, the claim that Lieb modes appear exactly when an FFS forms is not falsifiable.
  3. [Abstract and Conclusion; Fig. 4] The statement that the linear low-frequency Lieb excitations emerge 'due to the effective many-body interaction mediated by the periodic drive' is not established by the presented analysis. In Fig. 4(a) the mapped noninteracting fermions already display a wide linear dispersion, and the Lieb-I mode of a TG gas is the boundary of the fermionic particle-hole continuum; a linear single-particle band therefore produces a linear lower edge without invoking many-body interactions. To support the interaction-mediation claim, the manuscript should either directly compute the effective interaction terms (e.g., from the higher-order Magnus expansion) or identify a feature in the bosonic spectrum that cannot be understood from the mapped-fermion particle-hole continuum. Otherwise, the claim should be softened to say that the linearization is inherited from the single-particle Floquet spectrum.
minor comments (6)
  1. [Main text, Eqs. (1)-(2)] The operator ˆa is described as 'annihilates a single-particle state'; it should be described as a field (annihilation) operator in Fock space, with the matrix elements taken between many-body Floquet states.
  2. [Supplemental Material, Fig. 1 and surrounding text] The condition 'tcut must be much smaller than t0' is confusing because t0 is negative; write it using absolute values, e.g., tcut ≪ |t0|, and specify the time-ordering constraints for Domain I explicitly.
  3. [Main text, 'Exact analysis at low-frequency limit'] There is a typo 'Floquet-Brilluion zone' in the paragraph discussing Fig. 4(a).
  4. [Main text, Acknowledgement section] The heading 'Acknowldgement' is misspelled and should be 'Acknowledgments'.
  5. [Main text, Eq. (5)] The notation 'tavg = t' in Eq. (5) is not defined; specify that tavg is the Wigner average time introduced in the Supplemental Material.
  6. [Main text, Fig. 2] The caption of Fig. 2 is very dense and the main text refers to panels (c)-(e) and (f)-(h) using ranges; labeling each panel explicitly in the caption would improve readability.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the nonequilibrium spectral functions are computed exactly from driven single-particle dynamics, benchmarked against an independent static effective-Hamiltonian calculation, and the Floquet–Fermi-sea picture is a post-hoc interpretation rather than an input.

full rationale

The derivation chain is self-contained and not circular. The exact time-averaged Floquet spectral function of the TG gas is computed from the time-evolved single-particle eigenstates of the pre-drive Hamiltonian under the full time-dependent Hamiltonian (SM Eqs. (5), (14), (29)), then fed into the determinant formulas for the lesser/greater Green's functions (SM Eqs. (18)-(21)), which are standard consequences of the Bose–Fermi mapping [25,27]. No parameter is fitted to the target Lieb peaks: the initial occupied set eta is the static ground state, and t0 is scanned over a driving period rather than tuned to force the observed spectrum; the two representative values t0^(1) and t0^(2) are selected to illustrate contrasting behavior, not to impose it. The Floquet–Fermi-sea criterion is inferred from the computed particle and hole occupation functions (Figs. 2(a)-(b) and 3) and is used as an interpretive explanation of where sharp Lieb peaks appear, not as an input that generates them. The assignment of the sharp bosonic peaks to Lieb-I and Lieb-II modes is benchmarked against the independent static spectral function obtained from the effective Hamiltonian (Fig. 1(d)), which is an external reference. The only self-citation, Ref. [30] by overlapping authors, is cited together with standard references for the Bose–Fermi mapping and exact spectral function and is not load-bearing for any equation or conclusion. The finite-tcut/epsilon convergence assumption is a numerical-validation concern rather than a circularity: it affects whether the plotted peaks are converged, but the derivation does not reduce to its inputs by construction.

Assumptions & free parameters 3 free parameters · 5 assumptions · 1 invented entities

The model rests on the standard Bose-Fermi mapping and the hard-core assumption, both stated in the supplement. The main ad hoc element is the numerical truncation of the relative-time integral (tcut, epsilon) whose convergence is asserted but not demonstrated. The initial time t0 is a physical control parameter, not a fit, but the central claim depends on its value. The only invented conceptual entity is the Floquet-Fermi sea, which has direct numerical evidence in the computed Green's functions.

free parameters (3)
  • Initial drive time t0 = t0^(1) = -751.75T, t0^(2) = -752T
    The central claim depends on t0: Lieb modes emerge only for t0 values where the mapped fermions form a Floquet-Fermi sea. The two values are chosen to illustrate the two regimes; the paper scans t0 in the supplemental movies.
  • Numerical broadening epsilon = not stated (small, 0+)
    Used in the Fourier transform to truncate large relative times; the authors state results are independent of it, but no value or convergence data is given.
  • Relative-time cutoff tcut = not stated (large but smaller than |t0|)
    Truncates the relative time integral in the Fourier transform; the authors assert independence but provide no convergence study.
assumptions (5)
  • standard math Bose-Fermi mapping theorem for 1D hard-core bosons
    Central tool, maps TG bosons to noninteracting spinless fermions; used in Eq. (4) of main text and Eqs. (18)-(21) of supplement.
  • domain assumption Hard-core (Tonks-Girardeau) limit g to infinity
    Assumes infinite contact interaction so the wavefunction vanishes when two bosons coincide; stated in the supplement Eq. (3).
  • domain assumption Single-band tight-binding approximation for the deep optical lattice
    The mapped fermion Hamiltonian (Eq. (3) main text) is a single-band lattice model; valid for deep lattices but not exact.
  • standard math Floquet-Lehmann representation with occupation probabilities pm(t0)
    Eqs. (1)-(2) of main text define the Floquet Green's functions; occupations pm are fixed by the initial state at t0.
  • ad hoc to paper Numerical convergence: finite tcut and epsilon to 0+ suffice to represent the Floquet spectral function
    Supplement: 'we take tcut sufficiently large ... to ensure that the computed spectral function remains independent of this parameter', but no convergence data is provided.
invented entities (1)
  • Floquet-Fermi sea (FFS) independent evidence
    purpose: Explains the origin of the sharp nonequilibrium Lieb modes: when the mapped fermions occupy a single Floquet state with particle/hole occupations clearly separated, the bosonic spectral function shows sharp Lieb excitations.
    Directly evidenced by the time-averaged lesser and greater Green's functions in Fig. 2(a,b) and Fig. 3, which show separated (FFS) or overlapping (mixed) occupations.

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Pith. "Pith review of Emergence of nonequilibrium Lieb excitations in periodically driven strongly interacting bosons." pith.science (2026). https://pith.science/paper/O2NQ2I37

@misc{pith2026241217443,
  author       = {Pith},
  title        = {Pith review of: Emergence of nonequilibrium Lieb excitations in periodically driven strongly interacting bosons},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/O2NQ2I37}},
  note         = {Machine review of arXiv:2412.17443}
}
read the original abstract

We study the exact nonequilibrium spectral function of a gas of strongly correlated Tonks-Girardeau bosons subjected to a strong periodic drive. Utilizing the theory of Floquet spectral function in conjunction with the Bose-Fermi mapping theorem, we show that nonequilibrium Lieb modes emerge if the underlying mapped fermions form a Floquet-Fermi sea. In the low-frequency regime, the exact analysis reveals the emergence of characteristic linear Lieb excitations for the bosonic system, while the underlying mapped fermions displays the wide Dirac-like linear dispersion.

Figures

Figures reproduced from arXiv: 2412.17443 by the authors.

Figure 1
Figure 1. FIG. 1. Exact time-averaged spectral function of (a) mapped [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. FIG. 2. The occupation of (a) mapped fermions and (b) holes [PITH_FULL_IMAGE:figures/full_fig_p003_2.png] view at source ↗
Figure 4
Figure 4. FIG. 4. Time-averaged spectral function of (a) mapped [PITH_FULL_IMAGE:figures/full_fig_p004_4.png] view at source ↗
Figures from the paper (1 more)
Figure 1
Figure 1. Figure 1: FIG. 1: Schematics of the time region to calculate the time-dependent spectral function. The periodic drive is [PITH_FULL_IMAGE:figures/full_fig_p011_1.png]

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Works this paper leans on

71 extracted references · 46 canonical work pages

  1. [11]

    Kadanoff and G

    L. Kadanoff and G. Baym, Quantum Statistical Me- chanics: Green ’s Function Methods in Equilibrium and Nonequilibrium Problems , Frontiers in Physics. A Lec- ture Note and Reprint Series (W.A. Benjamin, 1962)

    work page 1962

  2. [1]

    Bukov and A

    M. Bukov and A. Polkovnikov, Stroboscopic versus non- stroboscopic dynamics in the Floquet realization of the Harper-Hofstadter Hamiltonian, Phys. Rev. A 90, 043613 (2014)

    work page 2014

  3. [2]

    Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev

    A. Eckardt, Colloquium: Atomic quantum gases in pe- riodically driven optical lattices, Rev. Mod. Phys. 89, 011004 (2017)

    2017

  4. [3]

    Oka and S

    T. Oka and S. Kitamura, Floquet engineering of quantum materials, Annual Review of Condensed Matter Physics 10, 387 (2019)

    2019

  5. [5]

    Miyake, G

    H. Miyake, G. A. Siviloglou, C. J. Kennedy, W. C. Bur- ton, and W. Ketterle, Realizing the Harper Hamiltonian with Laser-Assisted Tunneling in Optical Lattices, Phys. Rev. Lett. 111, 185302 (2013)

    2013

  6. [6]

    C. D. Bruzewicz, J. Chiaverini, R. McConnell, and J. M. Sage, Trapped-ion quantum computing: Progress and challenges, Applied Physics Reviews 6, 021314 (2019)

    2019

  7. [7]

    A. F. Kemper, M. A. Sentef, B. Moritz, T. P. Devereaux, and J. K. Freericks, Review of the theoretical descrip- tion of time-resolved angle-resolved photoemission spec- troscopy in electron-phonon mediated superconductors, Annalen der Physik 529, 1600235 (2017)

    work page 2017

  8. [8]

    Tsuji, Floquet states, in Encyclopedia of Con- densed Matter Physics (Second Edition) , edited by T

    N. Tsuji, Floquet states, in Encyclopedia of Con- densed Matter Physics (Second Edition) , edited by T. Chakraborty (Academic Press, Oxford, 2024) second edition ed., pp. 967–980

    work page 2024

Show all 71 references
  1. [9]

    Grifoni and P

    M. Grifoni and P. H¨ anggi, Driven quantum tunneling, Physics Reports 304, 229 (1998)

    1998

  2. [10]

    M. Lenz, S. W¨ uster, C. J. Vale, N. R. Heckenberg, H. Rubinsztein-Dunlop, C. A. Holmes, G. J. Milburn, and M. J. Davis, Dynamical tunneling with ultracold atoms in magnetic microtraps, Phys. Rev. A 88, 013635 (2013)

    2013

  3. [12]

    J. A. Sobota, Y. He, and Z.-X. Shen, Angle-resolved photoemission studies of quantum materials, Rev. Mod. Phys. 93, 025006 (2021)

    2021

  4. [13]

    J. T. Stewart, J. P. Gaebler, and D. S. Jin, Using pho- toemission spectroscopy to probe a strongly interacting fermi gas, Nature 454, 744 (2008)

    2008

  5. [14]

    Rinott, K

    S. Rinott, K. B. Chashka, A. Ribak, E. D. L. Rienks, A. Taleb-Ibrahimi, P. L. Fevre, F. Bertran, M. Rande- ria, and A. Kanigel, Tuning across the bcs-bec crossover in the multiband superconductor Fe 1+ySexTe1−x: An angle-resolved photoemission study, Science Advances 3, e16023...

    2017

  6. [15]

    Fujisawa, A

    Y. Fujisawa, A. Krishnadas, C.-H. Hsu, T. Takeda, S. Liu, M. Pardo-Almanza, Y. Obata, D. van Din- ter, K. Yamagami, G. Chang, M. Kobayashi, C.-Y. Kuo, and Y. Okada, Imaging emergent exotic quasipar- ticle state in a frustrated transition metal oxide (2023), arXiv:2306.06708 [c...

    2023 arXiv

  7. [16]

    Damascelli, Z

    A. Damascelli, Z. Hussain, and Z.-X. Shen, Angle- resolved photoemission studies of the cuprate supercon- ductors, Rev. Mod. Phys. 75, 473 (2003)

    2003

  8. [17]

    Keimer, S

    B. Keimer, S. A. Kivelson, M. R. Norman, S. Uchida, and J. Zaanen, From quantum matter to high-temperature superconductivity in copper oxides, Nature 518, 179 (2015)

    2015

  9. [18]

    Giamarchi, Quantum Physics in One Dimension (Ox- ford University Press, 2003)

    T. Giamarchi, Quantum Physics in One Dimension (Ox- ford University Press, 2003)

    2003

  10. [19]

    Tsuji, T

    N. Tsuji, T. Oka, and H. Aoki, Correlated electron sys- tems periodically driven out of equilibrium: Floquet + DMFT formalism, Phys. Rev. B 78, 235124 (2008)

    2008

  11. [20]

    M. A. Cazalilla, R. Citro, T. Giamarchi, E. Orignac, and M. Rigol, One dimensional bosons: From condensed mat- ter systems to ultracold gases, Rev. Mod. Phys. 83, 1405 (2011)

    2011

  12. [21]

    Adams, L

    A. Adams, L. D. Carr, T. Sch¨ afer, P. Steinberg, and J. E. Thomas, Strongly correlated quantum fluids: ultracold quantum gases, quantum chromodynamic plasmas and 6 holographic duality, New Journal of Physics 14, 115009 (2012)

    2012

  13. [22]

    Mistakidis, A

    S. Mistakidis, A. Volosniev, R. Barfknecht, T. Fogarty, T. Busch, A. Foerster, P. Schmelcher, and N. Zinner, Few-body bose gases in low dimensions—a laboratory for quantum dynamics, Physics Reports 1042, 1 (2023)

    2023

  14. [23]

    E. H. Lieb and W. Liniger, Exact Analysis of an Interact- ing Bose Gas. I. The General Solution and the Ground State, Phys. Rev. 130, 1605 (1963)

    1963

  15. [24]

    E. H. Lieb, Exact Analysis of an Interacting Bose Gas. II. The Excitation Spectrum, Phys. Rev. 130, 1616 (1963)

    1963

  16. [25]

    Girardeau, Relationship between Systems of Impene- trable Bosons and Fermions in One Dimension, Journal of Mathematical Physics 1, 516 (1960)

    M. Girardeau, Relationship between Systems of Impene- trable Bosons and Fermions in One Dimension, Journal of Mathematical Physics 1, 516 (1960)

    1960

  17. [26]

    Amico, D

    L. Amico, D. Anderson, M. Boshier, J.-P. Brantut, L.-C. Kwek, A. Minguzzi, and W. von Klitzing, Colloquium: Atomtronic circuits: From many-body physics to quan- tum technologies, Rev. Mod. Phys. 94, 041001 (2022)

    2022

  18. [28]

    Wang, Exact dynamical correlations of hard-core anyons in one-dimensional lattices, Phys

    Q.-W. Wang, Exact dynamical correlations of hard-core anyons in one-dimensional lattices, Phys. Rev. B 105, 205143 (2022)

    2022

  19. [29]

    O. I. Pˆ at ¸u, A. Kl¨ umper, and A. Foerster, Exact spectral function and nonequilibrium dynamics of the strongly interacting Hubbard model, Phys. Rev. B 110, 205101 (2024)

    2024

  20. [30]

    W.-B. He, G. ˇZlabys, H. Hiyane, S. S. Nair, and T. Busch, The Lieb excitations and topological flat mode of spec- tral function of Tonks–Girardeau gas in Kronig-Penney potential (2024), arXiv:2410.13302 [cond-mat.quant-gas]

    2024 arXiv

  21. [31]

    G. S. Uhrig, M. H. Kalthoff, and J. K. Freericks, Positiv- ity of the Spectral Densities of Retarded Floquet Green Functions, Phys. Rev. Lett. 122, 130604 (2019)

    2019

  22. [32]

    Bukov, L

    M. Bukov, L. D’Alessio, and A. Polkovnikov, Univer- sal high-frequency behavior of periodically driven sys- tems: from dynamical stabilization to Floquet engineer- ing, Adv. Phys. (2015)

    2015

  23. [33]

    See supplemental materials for further details

  24. [35]

    Goldman, J

    N. Goldman, J. Dalibard, M. Aidelsburger, and N. R. Cooper, Periodically driven quantum matter: The case of resonant modulations, Phys. Rev. A91, 033632 (2015)

    2015

  25. [36]

    Cruickshank, A

    R. Cruickshank, A. Di Carli, M. Mitchell, A. La Rooij, S. Kuhr, C. E. Creffield, and E. Haller, Phonon exci- tations of Floquet-driven superfluids in a tilted optical lattice, Phys. Rev. Res. 6, 023323 (2024)

    2024

  26. [37]

    Eckardt, P

    A. Eckardt, P. Hauke, P. Soltan-Panahi, C. Becker, K. Sengstock, and M. Lewenstein, Frustrated quantum antiferromagnetism with ultracold bosons in a triangular lattice, Europhysics Letters 89, 10010 (2010)

    2010

  27. [38]

    Struck, C

    J. Struck, C. ¨Olschl¨ ager, M. Weinberg, P. Hauke, J. Si- monet, A. Eckardt, M. Lewenstein, K. Sengstock, and P. Windpassinger, Tunable gauge potential for neutral and spinless particles in driven optical lattices, Phys. Rev. Lett. 108, 225304 (2012)

    2012

  28. [39]

    W. P. Su, J. R. Schrieffer, and A. J. Heeger, Solitons in polyacetylene, Phys. Rev. Lett. 42, 1698 (1979)

    1979

  29. [41]

    Al- though no direct connection to Moise’s state is estab- lished here, we adopt their nomenclature and refer to the left and the right Fermi sea

    This split Fermi-sea state is reminiscent of the highly excited state known as Moise’s state, previously inves- tigated in the context of the Lieb–Liniger gas [59]. Al- though no direct connection to Moise’s state is estab- lished here, we adopt their nomenclature and refer to...

  30. [42]

    Note that the spectral weights for ω ≶Eeff F differ signif- icantly, as can be seen from Fig. 1(b). This asymmetry arises because the sector of ω >Eeff F corresponds to par- ticle excitations governed by the propagator G>, while ω < Eeff F corresponds to hole excitations descr...

  31. [43]

    Pezer and H

    R. Pezer and H. Buljan, Momentum Distribution Dy- namics of a Tonks–Girardeau Gas: Bragg Reflections of a Quantum Many-Body Wave Packet, Phys. Rev. Lett. 98, 240403 (2007)

    2007

  32. [44]

    Y. Y. Atas, I. Bouchoule, D. M. Gangardt, and K. V. Kheruntsyan, Collective many-body bounce in the breathing-mode oscillations of a Tonks–Girardeau gas, Phys. Rev. A 96, 041605 (2017)

    2017

  33. [45]

    Y. Y. Atas, D. M. Gangardt, I. Bouchoule, and K. V. Kheruntsyan, Exact nonequilibrium dynamics of finite- temperature Tonks–Girardeau gases, Phys. Rev. A 95, 043622 (2017)

    2017

  34. [46]

    T. Mori, T. Kuwahara, and K. Saito, Rigorous bound on energy absorption and generic relaxation in periodically driven quantum systems, Phys. Rev. Lett. 116, 120401 (2016)

    2016

  35. [47]

    Kuwahara, T

    T. Kuwahara, T. Mori, and K. Saito, Floquet–Magnus theory and generic transient dynamics in periodically driven many-body quantum systems, Annals of Physics 367, 96 (2016)

    2016

  36. [48]

    O. A. D. Sandberg, M. T. Reeves, and M. J. Davis, Flo- quet analysis of time-averaged trapping potentials, Phys. Rev. A 101, 033615 (2020)

    2020

  37. [49]

    1(a) and (b), it is significantly smaller than the weight in the first Floquet–Brillouin zone

    While the occupation of the second Floquet–Brillouin zone is also visible in Fig. 1(a) and (b), it is significantly smaller than the weight in the first Floquet–Brillouin zone

  38. [50]

    J¨ ahrling, V

    S. J¨ ahrling, V. P. Singh, and L. Mathey, Design- ing atomtronic circuits via superfluid dynamics (2024), arXiv:2411.13642 [cond-mat.quant-gas]

    2024

  39. [51]

    J. Polo, W. J. Chetcuti, E. C. Domanti, P. Kitson, A. Os- terloh, F. Perciavalle, V. P. Singh, and L. Amico, Per- spective on new implementations of atomtronic circuits, Quantum Science and Technology 9, 030501 (2024)

    2024

  40. [52]

    J. K. Freericks, H. R. Krishnamurthy, and T. Pruschke, Theoretical description of time-resolved photoemission spectroscopy: Application to pump-probe experiments, Phys. Rev. Lett. 102, 136401 (2009)

    2009

  41. [53]

    Y. Chen, Y. Wang, C. Jia, B. Moritz, A. M. Shvaika, J. K. Freericks, and T. P. Devereaux, Theory for time- resolved resonant inelastic x-ray scattering, Phys. Rev. B 99, 104306 (2019)

    2019

  42. [54]

    Mad´ eo, M

    J. Mad´ eo, M. K. L. Man, C. Sahoo, M. Campbell, V. Pa- reek, E. L. Wong, A. Al-Mahboob, N. S. Chan, A. Kar- makar, B. M. K. Mariserla, X. Li, T. F. Heinz, T. Cao, and K. M. Dani, Directly visualizing the momentum- 7 forbidden dark excitons and their dynamics in atomically thi...

    2020

  43. [55]

    Mahmood, C.-K

    F. Mahmood, C.-K. Chan, Z. Alpichshev, D. Gardner, Y. Lee, P. A. Lee, and N. Gedik, Selective scattering between Floquet–Bloch and Volkov states in a topological insulator, Nature Physics 12, 306 (2016)

    2016

  44. [56]

    Boschini, M

    F. Boschini, M. Zonno, and A. Damascelli, Time-resolved arpes studies of quantum materials, Rev. Mod. Phys. 96, 015003 (2024)

    2024

  45. [57]

    Bohrdt, D

    A. Bohrdt, D. Greif, E. Demler, M. Knap, and F. Grusdt, Angle-resolved photoemission spectroscopy with quan- tum gas microscopes, Phys. Rev. B 97, 125117 (2018)

    2018

  46. [58]

    Senaratne, D

    R. Senaratne, D. Cavazos-Cavazos, S. Wang, F. He, Y.-T. Chang, A. Kafle, H. Pu, X.-W. Guan, and R. G. Hulet, Spin-charge separation in a one-dimensional fermi gas with tunable interactions, Science 376, 1305 (2022)

    2022

  47. [59]

    Fokkema, I

    T. Fokkema, I. S. Eli¨ ens, and J.-S. Caux, Split Fermi seas in one-dimensional Bose fluids, Phys. Rev. A 89, 033637 (2014). Supplemental Material: Emergence of nonequilibrium Lieb excitations in periodically driven strongly interacting bosons Hoshu Hiyane,1,∗ Giedrius ˇZlabys...

    2014 arXiv

  48. [60]

    Domain I (t1,t 2 >t 0): Both operators are within the regime of the periodic drive

  49. [61]

    Domain II (t1,t 2 <t 0): Neither operator experiences the periodic drive and the system remains static

  50. [62]

    Ft0dependence.mp4

    Domain III ( t1(2) <t 0,t 2(1) >t 0): One operator experiences the periodic drive, while the other remains in the static regime. Both operators experience the periodic drive in domain I, which is the only relevant regime in this study. To study the spectral function in the Flo...

  51. [63]

    Girardeau, Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension, Journal of Mathe- matical Physics 1, 516 (1960)

    M. Girardeau, Relationship between Systems of Impenetrable Bosons and Fermions in One Dimension, Journal of Mathe- matical Physics 1, 516 (1960)

    1960

  52. [64]

    Aidelsburger, M

    M. Aidelsburger, M. Atala, S. Nascimb` ene, S. Trotzky, Y.-A. Chen, and I. Bloch, Experimental realization of strong effective magnetic fields in an optical lattice, Phys. Rev. Lett. 107, 255301 (2011)

    2011

  53. [65]

    Aidelsburger, M

    M. Aidelsburger, M. Atala, M. Lohse, J. T. Barreiro, B. Paredes, and I. Bloch, Realization of the hofstadter hamiltonian with ultracold atoms in optical lattices, Phys. Rev. Lett. 111, 185301 (2013)

    2013

  54. [66]

    Bukov and A

    M. Bukov and A. Polkovnikov, Stroboscopic versus nonstroboscopic dynamics in the Floquet realization of the Harper- Hofstadter Hamiltonian, Phys. Rev. A 90, 043613 (2014)

    2014

  55. [67]

    Lelas, N

    K. Lelas, N. Drpi´ c, T. Dubˇ cek, D. Juki´ c, R. Pezer, and H. Buljan, Laser assisted tunneling in a Tonks–Girardeau gas, New Journal of Physics 18, 095002 (2016)

    2016

  56. [68]

    Struck, C

    J. Struck, C. ¨Olschl¨ ager, M. Weinberg, P. Hauke, J. Simonet, A. Eckardt, M. Lewenstein, K. Sengstock, and P. Wind- passinger, Tunable gauge potential for neutral and spinless particles in driven optical lattices, Phys. Rev. Lett.108, 225304 (2012)

    2012

  57. [69]

    Settino, N

    J. Settino, N. Lo Gullo, F. Plastina, and A. Minguzzi, Exact Spectral Function of a Tonks–Girardeau Gas in a Lattice, Phys. Rev. Lett. 126, 065301 (2021)

    2021

  58. [70]

    M. S. Rudner and N. H. Lindner, The Floquet Engineer’s Handbook (2020), arXiv:2003.08252 [cond-mat.mes-hall]

    2020 arXiv

  59. [71]

    M. H. Kalthoff, G. S. Uhrig, and J. K. Freericks, Emergence of Floquet behavior for lattice fermions driven by light pulses, Phys. Rev. B 98, 035138 (2018)

    2018

  60. [72]

    T. N. Ikeda, S. Tanaka, and Y. Kayanuma, Floquet-Landau-Zener interferometry: Usefulness of the Floquet theory in pulse-laser-driven systems, Phys. Rev. Res. 4, 033075 (2022)

    2022

  61. [73]

    This cutoff time is similarly used to compute the static spectral function presented in Fig.1(d) in the main text. In both cases, the convergence is guaranteed by selecting a sufficiently large tcut and a small ϵ, which introduces a broadening in the spectral function due to a...

  62. [74]

    G. S. Uhrig, M. H. Kalthoff, and J. K. Freericks, Positivity of the Spectral Densities of Retarded Floquet Green Functions, Phys. Rev. Lett. 122, 130604 (2019)

    2019

  63. [75]

    Eckardt, Colloquium: Atomic quantum gases in periodically driven optical lattices, Rev

    A. Eckardt, Colloquium: Atomic quantum gases in periodically driven optical lattices, Rev. Mod. Phys. 89, 011004 (2017)

    2017

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