The DOI matches its Crossref record; 268 of the 273 references it cites were found in a registry or an index.
Topological bands for ultracold atoms
Open accessAbstract
There have been significant recent advances in realizing band structures with geometrical and topological features in experiments on cold atomic gases. This review summarizes these developments, beginning with a summary of the key concepts of geometry and topology for Bloch bands. Descriptions are given of the different methods that have been used to generate these novel band structures for cold atoms and of the physical observables that have allowed their characterization. The focus is on the physical principles that underlie the different experimental approaches, providing a conceptual framework within which to view these developments. Also described is how specific experimental implementations can influence physical properties. Moving beyond single-particle effects, descriptions are given of the forms of interparticle interactions that emerge when atoms are subjected to these energy bands and of some of the many-body phases that may be sought in future experiments.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The source backs part of the claim, not all of it — or backs it for a different population, condition or comparison.
In the citing paper
“atomic gases enjoy an extraordinary level of cleanness and control at the microscopic level, which permits a quantitative comparison with ab initio theoretical calculations.”
From How to exploit driving and dissipation to stabilize and manipulate quantum many-body states (2025) · cites this paper as [4]
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Colloquium : Topological insulators
Hasan, M. Z., & Kane, C. L. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.3045 · Cited by 19,930
Topological insulators and superconductors
Qi, X.-L., & Zhang, S.-C. (2011) · Reviews of Modern Physics · doi:10.1103/revmodphys.83.1057 · Cited by 14,394
Quantal phase factors accompanying adiabatic changes
Berry, M. V. (1984) · Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences · doi:10.1098/rspa.1984.0023 · Cited by 9,252
On the generators of quantum dynamical semigroups
Lindblad, G. (1976) · Communications in Mathematical Physics · doi:10.1007/bf01608499 · Cited by 7,548 · cited 1×
“…(2004) and Daley (2014)), the master equation describing the evolution of the density operator ρ of the system can be written in the Lindblad form (Lindblad, 1976) ρ̇ = L(ρ) where the linear operator L – the Liouvillian – acts in operator space: L(ρ) = i[ρ,H] + 1 2 ∑ j ( 2LjρL † j − L†jLjρ−…”
Quantized Hall Conductance in a Two-Dimensional Periodic Potential
Thouless, D. J., Kohmoto, M., Nightingale, M. P., & den Nijs, M. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.405 · Cited by 6,973 · cited 2×
“As first shown by Thouless et al. (1982), a band insulator exhibits the integer quantum Hall effect if the total Chern number of the filled bands is nonzero, with a Hall conductivity quantized at C times the fundamental unit of conductance e2/h.”
BackgroundNon-Abelian anyons and topological quantum computation
Nayak, C., Simon, S. H., Stern, A., Freedman, M., & Das Sarma, S. (2008) · Reviews of Modern Physics · doi:10.1103/revmodphys.80.1083 · Cited by 6,861
Su, W. P., Schrieffer, J. R., & Heeger, A. J. (1979) · Physical Review Letters · doi:10.1103/physrevlett.42.1698 · Cited by 6,783
Haldane, F. D. M. (1988) · Physical Review Letters · doi:10.1103/physrevlett.61.2015 · Cited by 6,301
Theory of Bose-Einstein condensation in trapped gases
Dalfovo, F., Giorgini, S., Питаевский, Л. П., & Stringari, S. (1999) · Reviews of Modern Physics · doi:10.1103/revmodphys.71.463 · Cited by 5,773
Berry phase effects on electronic properties
Xiao, D., Chang, M.-C., & Niu, Q. (2010) · Reviews of Modern Physics · doi:10.1103/revmodphys.82.1959 · Cited by 5,277
Research works printed but not linked: 5
- Ashcroft, N. W., 1976, Solid State Physics
- Asteria, L., 2019, Nat. Phys.
- Dalibard, J., 2016, Quantum Matter at Ultralow Temperatures
- Gardiner, Crispin, 2004, Quantum Noise
- 1990, The Quantum Hall Effect
Cited by
Sorted by citations
Items 601–700 of 900
Jing, Y.-Z., Xiao, K., Ma, Y., Dou, F.-Q., & Wang, W.-Y. (2025) · New Journal of Physics · doi:10.1088/1367-2630/adbc15 · Cited by 3
Topological chiral edge states in a synthetic dimension of atomic trap states
Reid, D. G., Oliver, C., Regan, P., Smith, A., Easton, T., Salerno, G., Barontini, G., Goldman, N., & Price, H. M. (2025) · Physical Review A · doi:10.1103/physreva.111.033301 · Cited by 3
Constraints on the energy spectrum of non-Hermitian models in open environments
Midtgaard, J. M., Wu, Z., & Chen, Y. (2019) · The European Physical Journal B · doi:10.1140/epjb/e2019-100393-5 · Cited by 4
Ji, Q., Zhang, R., & Zhang, W. (2020) · Physical Review A · doi:10.1103/physreva.102.063313 · Cited by 3
Jalali-Mola, Z., & Asgarnezhad-Zorgabad, S. (2021) · Nanophotonics · doi:10.1515/nanoph-2021-0163 · Cited by 3
Probing Majorana modes via local spin dynamics
Bjerlin, J., Sørensen, A. S., & Haas, S. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.035414 · Cited by 3
Generalized Aubry–André–Harper Models in Optical Superlattices
Li, Y., Zhang, J.-H., Mei, F., Ma, J., Xiao, L., & Jia, S. (2022) · Chinese Physics Letters · doi:10.1088/0256-307x/39/6/063701 · Cited by 4
Díaz-Bonifaz, R. Y., & Ramírez, C. (2022) · Annalen der Physik · doi:10.1002/andp.202200116 · Cited by 3
Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice
Leite, L. S. G., & Doretto, R. L. (2022) · Physical review. B./Physical review. B · doi:10.1103/physrevb.106.155142 · Cited by 3
Adiabatic preparation of fractional Chern insulators from an effective thin-torus limit
Michen, B., Repellin, C., & Budich, J. C. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023100 · Cited by 3
Spectroscopy and topological properties of a Haldane light system
Legendre, J., & Hur, K. L. (2024) · Physical Review A · doi:10.1103/physreva.109.l021701 · Cited by 5
Circular dichroism in Floquet Chern insulator via high-order harmonics spectroscopy
Kim, J. Y., Kim, D. S., Kim, D. E., & Chacón, A. (2023) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ad0015 · Cited by 3
Characterizing Floquet topological phases by quench dynamics: A multiple-subsystem approach
Wang, B., & Zhang, L. (2024) · Physical Review A · doi:10.1103/physreva.109.023303 · Cited by 3
Spin-momentum-mixing interactions with cavity-mediated supersolid in spinor condensates
You, J., Yi, S., & Deng, Y. (2025) · Photonics Research · doi:10.1364/prj.544164 · Cited by 3
Proposal for realizing anomalous Floquet insulators via Chern band annihilation
Zhang, C., Holder, T., Lindner, N. H., Rudner, M. S., & Berg, E. (2022) · SciPost Physics · doi:10.21468/scipostphys.12.4.124 · Cited by 3
Sun, J., Zhao, P., Hu, Z., Jin, S., Liao, R., Liu, X.-J., & Chen, X. (2023) · Chinese Physics Letters · doi:10.1088/0256-307x/40/8/083701 · Cited by 3
Relativistic Anyon Beam: Construction and Properties
Majhi, J., Ghosh, S., & Maiti, S. K. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.164801 · Cited by 5
Metal-insulator phase transition and topology in a three-component system*
Cheng, S., & Xianlong, G. (2020) · Chinese Physics B · doi:10.1088/1674-1056/abb305 · Cited by 3
Symmetry-protected solitons and bulk-boundary correspondence in generalized Jackiw–Rebbi models
Oh, C., Han, S., & Cheon, S. (2021) · Scientific Reports · doi:10.1038/s41598-021-01117-5 · Cited by 3
Aharonov–Bohm and Aharonov–Casher effects in condensed matter physics: A brief review
Avishai, Y., & Band, Y. B. (2023) · Elsevier eBooks · doi:10.1016/b978-0-323-90800-9.00183-9 · Cited by 3
Quantum simulation of spin models with assembled arrays of Rydberg atoms
de Léséleuc, S. (2018) · theses.fr (ABES) · doi:10.70675/65355ccbzd2cez4a99zaefdz1265453f47d4 · Cited by 3
Aspects of multiband systems : Quantum geometry, flat bands, and multifold fermions
Graf, A. (2022) · theses.fr (ABES) · doi:10.70675/ce2c91cez5c8cz47fez808cza593a34abd73 · Cited by 3
Measurable fractional spin for quantum Hall quasiparticles on the disk
Comparin, T., Opler, A., Macaluso, E., Biella, A., Polychronakos, A. P., & Mazza, L. (2022) · INO Open Portal · doi:10.1103/physrevb.105.085125 · Cited by 15
Zitterbewegung of Dirac quasiparticles emerged in a Su-Schrieffer–Heeger lattice*
Hu, Y. X., Guo, Z.-X., Zhong, Z.-M., & Li, Z. (2020) · Chinese Physics B · doi:10.1088/1674-1056/abb45b · Cited by 2
Liao, M.-J., Wei, M.-S., Wang, Y., Xu, J., & Yang, Y. (2024) · Physical Review A · doi:10.1103/physreva.110.032406 · Cited by 2
Lv, Y.-J., Peng, Y., Liu, Y.-K., & Zheng, Y. (2025) · Physical Review A · doi:10.1103/physreva.111.013311 · Cited by 2
Phases and criticality of the triangular lattice SU ( N ) Hofstadter-Hubbard model
Zhang, L., Liu, R., & Song, X.-Y. (2025) · Physical review. B./Physical review. B · doi:10.1103/j9mv-75ls · Cited by 2
Designer gapped and tilted Dirac cones in lateral graphene superlattices
Wild, A., Hartmann, R., Mariani, E., & Portnoi, M. E. (2025) · APL Quantum · doi:10.1063/5.0251887 · Cited by 2
Correlated-hopping-induced topological order in an atomic mixture
Padhan, A., Barbiero, L., & Mishra, T. (2025) · Physical Review A · doi:10.1103/lw8k-7h6p · Cited by 2
Reciprocal Floquet thermalization in a one-dimensional Rydberg atom array
He, Y., Jiao, Y., Zhao, J., & Li, W. (2026) · Physical review. B./Physical review. B · doi:10.1103/3gpm-9psv · Cited by 2
Floquet composite Dirac semimetals
Wu, H., Zhu, J.-J., Li, J., Yang, X. M., Chen, J., & Zhou, M. (2025) · Physical review. B./Physical review. B · doi:10.1103/r1w7-v1gs · Cited by 2
Salih, M. A., & Shirgawi, M. Y. (2025) · International Journal of Theoretical Physics · doi:10.1007/s10773-025-06193-1 · Cited by 2
Lasing zero modes are not always topological
Alizadeh, M., Özdemir, Ş. K., Yacomotti, A. M., & El‐Ganainy, R. (2025) · Communications Physics · doi:10.1038/s42005-025-02377-7 · Cited by 2
Wu, H., Yang, X., Liu, H., & Liu, H. (2026) · Physical review. B./Physical review. B · doi:10.1103/f37j-l6wp · Cited by 3
Magnon topology driven by altermagnetism
Khatua, S., Kravchuk, V. P., Yershov, K. V., & van den Brink, J. (2025) · Physical review. B./Physical review. B · doi:10.1103/xg1x-sj4c · Cited by 2
Projective crystal symmetry and topological phases
Zhang, C., Yang, S. A., & Zhao, Y. X. (2025) · Materials Today Quantum · doi:10.1016/j.mtquan.2025.100055 · Cited by 2
Universal quantum control over Majorana zero modes
Jin, Z.-Y., & Jing, J. (2025) · Physical Review A · doi:10.1103/sf19-3dc4 · Cited by 2
Sub‐Symmetry‐Protected Compact Edge States
Cheng, R., Bongiovanni, D., Wang, Z., Hu, Z., Tang, L., Song, D., Morandotti, R., Buljan, H., & Chen, Z. (2026) · Advanced Optical Materials · doi:10.1002/adom.202503497 · Cited by 2
Recent progress on disorder-induced topological phases
Zhang, D.-W., & Tang, L.-Z. (2026) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ae7cca · Cited by 4
Charge- 4 e anyon superconductor from doping an SU ( 4 ) 1 chiral spin liquid
Zhang, L., Zhang, Y.-H., & Song, X.-Y. (2026) · Physical review. B./Physical review. B · doi:10.1103/j8dx-kl16 · Cited by 2
Many-body localization in the random-field Heisenberg chain with Dzyaloshinskii-Moriya interaction
Cao, Y., & Wu, N. (2023) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/acb9b7 · Cited by 2
Mumford, J., Kamp, D., & O’Dell, D. H. J. (2024) · Physical Review A · doi:10.1103/physreva.110.043310 · Cited by 2
Nonadiabatic braiding of Majorana modes
Yu, F., Zhao, P. Z., & Gong, J. (2025) · Physical review. B./Physical review. B · doi:10.1103/kfwb-71wf · Cited by 2
Observation of higher-order topological bound states in the continuum using ultracold atoms
Wang, H., Li, H., Dong, Z., Pan, Y., Yi, W., & Yan, B. (2026) · The Innovation Physics · doi:10.59717/j.tip.2026.100015 · Cited by 8
Zhu, H., Yin, S., & Liu, W.-M. (2021) · Chinese Physics B · doi:10.1088/1674-1056/ac398f · Cited by 2
Topological phases of ultracold molecules in an optical tweezer ladder
Jiang, J., Zhang, J.-H., Mei, F., Ji, Z., Hu, Y., Ma, J., Xiao, L., & Jia, S. (2022) · Physical Review A · doi:10.1103/physreva.106.023318 · Cited by 2
Steering edge currents through a Floquet topological insulator
Drüeke, H., Meschede, M. J., & Bauer, D. (2023) · Physical Review Research · doi:10.1103/physrevresearch.5.023056 · Cited by 2
Topology in the space-time scaling limit of quantum dynamics
Rossi, L., Budich, J. C., & Dolcini, F. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.107.l241402 · Cited by 3
Jeong, S.-G., Han, S., Kim, T.-H., & Cheon, S. (2023) · Communications Physics · doi:10.1038/s42005-023-01367-x · Cited by 2
Dynamically Characterizing the Structures of Dirac Points via Wave Packets
Liang, D.-D., 沈, X. 鑫. S., & Li, Z. (2023) · Chinese Physics Letters · doi:10.1088/0256-307x/40/11/110302 · Cited by 2
Floquet engineering in quantum materials
Bao, C., Fan, B., Tang, P., Duan, W., & Zhou, S. (2023) · Acta Physica Sinica · doi:10.7498/aps.72.20231423 · Cited by 2
Ultracold atoms carrying orbital angular momentum: Engineering topological phases in lattices
Nicolau, E., Pelegrí, G., Polo, J., Marques, A. M., Daley, A. J., Mompart, J., Dias, R. G., & Ahufinger, V. (2024) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ad2432 · Cited by 2
All-dielectric photonic higher-order topological insulator induced by a staggered bianisotropy
Sang, X., Hou, J., Gu, Y., Wu, Y.-J., & Li, Z. (2024) · Physical Review A · doi:10.1103/physreva.109.063518 · Cited by 3
Phonon excitations of Floquet-driven superfluids in a tilted optical lattice
Cruickshank, R., Carli, A. D., Mitchell, M., Rooij, A. L., Kuhr, S., Creffield, C. E., & Haller, E. (2024) · Physical Review Research · doi:10.1103/physrevresearch.6.023323 · Cited by 2
Quantized polarization and Majorana fermions beyond tenfold classification
Han, S., Kang, M., Park, M. J., & Cheon, S. (2024) · Communications Physics · doi:10.1038/s42005-024-01737-z · Cited by 2
Topology reconstruction for asymmetric systems by homomorphic mapping or perturbation approximation
Li, Y., Chen, J. G., Qi, X., Xiong, L., Wang, X., Liu, Y., Guan, F., Shi, L., & Jiang, X. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.104106 · Cited by 2
Floquet dynamical chiral spin liquid at finite frequency
Poilblanc, D., Mambrini, M., & Goldman, N. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.224408 · Cited by 3
Symmetry-Protected Topological Optical Lattice Clock
Xu, T., Chu, A., Kim, K., Thompson, J. K., Ye, J., Esslinger, T., & Rey, A. M. (2025) · PRX Quantum · doi:10.1103/h1nh-thg9 · Cited by 2
Collective oscillations of Bose-Einstein condensates in a synthetic magnetic field
He, H., Pang, F., Zhang, Y., & Qu, C. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.013219 · Cited by 2
Unconventional spin Hall effect in PT -symmetric spin-orbit-coupled quantum gases
Tang, H., Huang, G.-H., Zhang, S., Yan, Z., & Wu, Z. (2025) · Physical Review A · doi:10.1103/physreva.111.l051301 · Cited by 2
Design and characterization of all 2D fragile topological bands
Bird, S., Devescovi, C., Engeler, P., Valenti, A., Gökmen, D. E., Worreby, R., Peri, V., & Huber, S. D. (2025) · PNAS Nexus · doi:10.1093/pnasnexus/pgaf285 · Cited by 2
Chiral Graviton Modes on the Lattice
Xavier, H. B., Bacciconi, Z., Chanda, T., Son, D. T., & Dalmonte, M. (2025) · Physical Review Letters · doi:10.1103/1636-kl65 · Cited by 5
High efficient Raman sideband cooling and strong three-body recombination of atoms
李, Y. 玉. L., 刘, Z. 震. L., 王, Y. 云. W., 武, J. 寄. W., 刘, W. 文. L., 付, Y. 永. F., 李, P. 鹏. L., Ma, J., Xiao, L., & 贾, S. 锁. J. (2023) · Chinese Physics B · doi:10.1088/1674-1056/acec42 · Cited by 2
Shi, P., Qi, X., Liu, Y., Wang, X., Xiong, L., & Jiang, X. (2023) · Photonics · doi:10.3390/photonics10090992 · Cited by 2
Observability of a sharp Majorana transition in a few-body model
Bland, J., Greene, C. H., & Wehefritz–Kaufmann, B. (2021) · Physical Review A · doi:10.1103/physreva.103.023310 · Cited by 2
Zhang, H., Ai, M.-Z., Cui, J., Han, Y., Li, C., & Guo, G. (2021) · Physical Review A · doi:10.1103/physreva.104.022213 · Cited by 2
Adiabatic Pumping in a Generalized Aubry–André Model Family with Mobility Edges
Xing, Y., Qi, L., Zhao, X., Lü, Z., Liu, S., Zhang, S., & Wang, H. (2021) · Annalen der Physik · doi:10.1002/andp.202100270 · Cited by 2
Polaritonic Tamm states induced by cavity photons
Downing, C. A., & Martín-Moreno, L. (2021) · De Gruyter eBooks · doi:10.1515/9783110710687-040 · Cited by 2
Strong to weak topological interacting phase transition of bosons on a lattice
Ghosh, A., & Grosfeld, E. (2023) · Physical review. B./Physical review. B · doi:10.1103/physrevb.108.035125 · Cited by 2
Pancharatnam-Zak phasePreprint
Vyas, V. M., & Roy, D. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1909.00818 · Cited by 2
Buljan, H., Jukić, D., & Chen, Z. (2022) · Nature Physics · doi:10.1038/s41567-022-01518-x · Cited by 2
Mostaan, N., Grusdt, F., & Goldman, N. (2022) · doi:10.26226/m.6275705f66d5dcf63a31178d · Cited by 2
Quantum hall and synthetic magnetic-field effects in ultra-cold atomic systems
Hauke, P., & Carusotto, I. (2023) · Elsevier eBooks · doi:10.1016/b978-0-323-90800-9.00061-5 · Cited by 2
Magnetotransport in the quantum wires comprised of vertically stacked quantum dots
Kushwaha, M. S. (2021) · Europhysics Letters (EPL) · doi:10.1209/0295-5075/ac40eb · Cited by 1
Degenerate Rabi spectroscopy of the Floquet engineered optical lattice clock
Liu, W., Lu, X., Li, T., Zhang, X., Chang, H., Wang, T., & Li, W. (2023) · Physical Review A · doi:10.1103/physreva.107.013315 · Cited by 1
Random Kronig-Penney-type potentials for ultracold atoms using dark states
Łącki, M., & Zakrzewski, J. (2023) · Physical Review A · doi:10.1103/physreva.108.053326 · Cited by 1
Composite photonic lattice with a broad channel to sustain topological interface states
Xiang, A., Zhang, Z., Jiang, T., Wu, G., Han, L., & Cai, Y. (2024) · Optics Express · doi:10.1364/oe.526154 · Cited by 1
Kuzmenko, I., Brewczyk, M., Łach, G., Trippenbach, M., & Band, Y. B. (2024) · Physical review. B./Physical review. B · doi:10.1103/physrevb.110.205430 · Cited by 1
He, W.-B., Žlabys, G., Hiyane, H., Nair, S. S., & Busch, T. (2025) · Physical Review A · doi:10.1103/physreva.111.013312 · Cited by 3
Quantum band structure and topology in a one-dimensional modulated plasmonic crystal
Brey, L., & Fertig, H. A. (2025) · Physical review. B./Physical review. B · doi:10.1103/physrevb.111.045430 · Cited by 1
Role of symmetry in antiferromagnetic topological insulators
Ghasemi, S., & Ebrahimkhas, M. (2025) · Chinese Physics B · doi:10.1088/1674-1056/adcb1e · Cited by 1
Anomalous wave-packet transport on boundaries of Floquet topological systems
Yang, X., Shi, K., Ünal, F. N., & Zhang, W. (2025) · Physical Review Research · doi:10.1103/physrevresearch.7.023077 · Cited by 1
Interaction-induced higher-order topological insulator via Floquet engineering
Su, C.-P., Cai, Z.-F., & Liu, T. (2025) · Physical Review A · doi:10.1103/physreva.111.053312 · Cited by 1
Tiesinga, E., Kłos, J. A., Li, H., Kotochigova, S., & DeMille, D. P. (2025) · Physical Review A · doi:10.1103/rd26-sgz1 · Cited by 1
Topological phases in two-dimensional Rydberg lattices
Svendsen, M. B. M., & Olmos, B. (2025) · Physical Review A · doi:10.1103/lf2c-h1kk · Cited by 2
Isospectrally patterned lattices
Schmelcher, P. (2025) · Scientific Reports · doi:10.1038/s41598-025-13336-1 · Cited by 1
D'Elia, J. P. G., & Paiva, T. (2025) · Physical review. B./Physical review. B · doi:10.1103/rspn-4cyr · Cited by 1
Bose-Einstein condensates in a synthetic magnetic field with tunable orientation
Pang, F., He, H., Zhang, Y., & Qu, C. (2025) · Physical Review A · doi:10.1103/1pmq-3sxg · Cited by 1
Constructing Qubit Edge States by Inverse-Designing the Electromagnetic Environment
Miguel-Torcal, A., Allard, T. F., Huidobro, P. A., García-Vidal, F. J., & Fernández‐Domínguez, A. I. (2025) · ACS Photonics · doi:10.1021/acsphotonics.5c00986 · Cited by 1
Scattering of a Dirac particle by a Berry phase domain wall
Mandhour, L., Bouhadida, F., & Piéchon, F. (2025) · Physical review. B./Physical review. B · doi:10.1103/9gt4-3pwl · Cited by 2
Stark Effect Tunable Terahertz Transitions in Finite Carbon Chains
Ng, R. A., Kucherik, A. O., Portnoi, M. E., & Hartmann, R. (2025) · Small Structures · doi:10.1002/sstr.202500266 · Cited by 1
Emergence of a Landau Level Structure in Dark Optical Lattices
Nascimbène, S., & Dalibard, J. (2025) · Physical Review Letters · doi:10.1103/rmw9-8cft · Cited by 4
Self-citationTopological transitions controlled by the interaction range
Simonyan, V., & Gorlach, M. A. (2026) · Physical Review A · doi:10.1103/y9vn-bbnk · Cited by 1
Tunable optical lattices for the creation of matter-wave lattice solitons
Cruickshank, R., Rooij, A. L., Kerr, E. F., Hilker, T., Kuhr, S., & Haller, E. (2025) · Optics Express · doi:10.1364/oe.581265 · Cited by 1
Entanglement entropy as a probe of topological phase transitions
Kumar, M., Vedula, B., Gangadharaiah, S., & Sharma, A. (2026) · Journal of Physics Condensed Matter · doi:10.1088/1361-648x/ae5583 · Cited by 1
Emergence of Hermitian topology from non-Hermitian knots
Hajong, G., Modak, R., & Mandal, B. P. (2026) · Physical review. B./Physical review. B · doi:10.1103/x749-t8g6 · Cited by 1
Phase-space topology in a single-atom synthetic dimension
Lee, K., Yu, S., Kang, J., Yu, S., Choi, W., Chung, D., Park, S., & Kim, T. (2025) · Physical Review A · doi:10.1103/xgym-bqy5 · Cited by 1
Continuum limit of bipartite lattices: The Su-Schrieffer-Heeger model
Diakonos, F. Κ., & Schmelcher, P. (2025) · Physical review. B./Physical review. B · doi:10.1103/j12q-6bhm · Cited by 1
Computational study of the spectral behaviour of different isospectrally patterned lattices
Schmelcher, P. (2025) · Physics Letters A · doi:10.1016/j.physleta.2025.131310 · Cited by 1
Geometric-phase effects accumulated by the dynamical-phase differences in non-Hermitian systems
Yu, H., Jiang, T., & Zhao, L.-C. (2026) · Physical Review A · doi:10.1103/sprq-fmgr · Cited by 1
Metadata
- Authors
- Cooper, N. R., Dalibard, J., & Spielman, I. B.
- Affiliations
- University of Cambridge (GB)
- Centre National de la Recherche Scientifique (FR)
- National Institute of Standards and Technology (US)
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 2019-03-25
- Volume
- 91
- Issue
- 1
- Pages
- 015005
- ISSN
- 0034-6861 (ISSN-L)
- 1539-0756
- PMC
- PMC7079706
- OpenAlex
- W2790327112
- Cited by
- 940
- References
- 273
- Citations by year
- 2026: 74 · 2025: 113 · 2024: 104 · 2023: 139 · 2022: 140 · 2021: 156 · 2020: 136 · 2019: 68
- FWCI
- 54.96
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Reviews of Modern Physics (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- Europe PMC (PubMed Central) (acceptedVersion)
- PubMed Central (acceptedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University)
- Funders
- Engineering and Physical Sciences Research Council (EP/K030094/1, EP/P009565/1)
- Simons Foundation
- H2020 European Research Council (UQUAM)
- Army Research Office (MURI)
- Air Force Office of Scientific Research (MURI)
- National Institute of Standards and Technology
- National Science Foundation (PFC)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Topological Materials and Phenomena
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- topological band structure, ultracold atoms, cold atoms, Bloch bands, band structure engineering, interparticle interactions, many-body phases, topological phases
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
