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Cited by 61Cold Atom Physics and Bose-Einstein CondensatesQuantum, superfluid, helium dynamicsStrong Light-Matter Interactions

Supersolidity in ultracold dipolar gases

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Recati, Alessio, Stringari, Sandro·2023·Nature Reviews Physics
DOI 10.1038/s42254-023-00648-2
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  1. Gross, E. P. Quantum theory of interacting bosons. Annals Phys. 9, 292-324, DOI: https://doi.org/10.1016/0003-4916(60) 90033-6 (1960). · DOI
  2. Andreev, A. F. & Lifshitz, I. M. Quantum theory of defects in crystals. Sov. Phys. JETP 29, 1107 (1969).
  3. Chester, G. V. Speculations on bose-einstein condensation and quantum crystals. Phys. Rev. A 2, 256-258, DOI: 10.1103/PhysRevA.2.256 (1970). · DOI
  4. Leggett, A. J. Can a solid be "superfluid"? Phys. Rev. Lett. 25, 1543-1546, DOI: 10.1103/PhysRevLett.25.1543 (1970). · DOI
  5. Kim, D. Y. & Chan, M. H. W. Absence of supersolidity in solid helium in porous vycor glass. Phys. Rev. Lett. 109, 155301, DOI: 10.1103/PhysRevLett.109.155301 (2012). · DOI
  6. Balibar, S. The enigma of supersolidity. Nature 464, 176-182, DOI: 10.1038/nature08913 (2010). · DOI
  7. Josserand, C., Pomeau, Y. & Rica, S. Coexistence of ordinary elasticity and superfluidity in a model of a defect-free supersolid. Phys. Rev. Lett. 98, 195301, DOI: 10.1103/PhysRevLett.98.195301 (2007). · DOI
  8. Boninsegni, M. & Prokof'ev, N. V. Colloquium: Supersolids: What and where are they? Rev. Mod. Phys. 84, 759-776, DOI: 10.1103/RevModPhys.84.759 (2012). · DOI
  9. Li, J.-R. et al. A stripe phase with supersolid properties in spin-orbit-coupled bose-einstein condensates. Nature 543, 91-94, DOI: 10.1038/nature21431 (2017). · DOI
  10. Léonard, J., Morales, A., Zupancic, P., Esslinger, T. & Donner, T. Supersolid formation in a quantum gas breaking a continuous translational symmetry. Nature 543, 87-90, DOI: 10.1038/nature21067 (2017). · DOI
  11. Tanzi, L. et al. Observation of a dipolar quantum gas with metastable supersolid properties. Phys. Rev. Lett. 122, 130405, DOI: 10.1103/PhysRevLett.122.130405 (2019). · DOI
  12. Böttcher, F. et al. Transient supersolid properties in an array of dipolar quantum droplets. Phys. Rev. X 9, 011051, DOI: 10.1103/PhysRevX.9.011051 (2019). · DOI
  13. Chomaz, L. et al. Long-lived and transient supersolid behaviors in dipolar quantum gases. Phys. Rev. X 9, 021012, DOI: 10.1103/PhysRevX.9.021012 (2019). · DOI
  14. Pomeau, Y. & Rica, S. Model of superflow with rotons. Phys. Rev. Lett. 71, 247-250, DOI: 10.1103/PhysRevLett.71.247 (1993). · DOI
  15. Pomeau, Y. & Rica, S. Dynamics of a model of supersolid. Phys. Rev. Lett. 72, 2426-2429, DOI: 10.1103/PhysRevLett. 72.2426 (1994). · DOI
  16. Saccani, S., Moroni, S. & Boninsegni, M. Excitation spectrum of a supersolid. Phys. Rev. Lett. 108, 175301, DOI: 10.1103/PhysRevLett.108.175301 (2012). · DOI
  17. Chomaz, L. et al. Dipolar physics: a review of experiments with magnetic quantum gases. Reports on Prog. Phys. 86, 026401, DOI: 10.1088/1361-6633/aca814 (2022). · DOI
  18. Santos, L., Shlyapnikov, G. V. & Lewenstein, M. Roton-maxon spectrum and stability of trapped dipolar bose-einstein condensates. Phys. Rev. Lett. 90, 250403, DOI: 10.1103/PhysRevLett.90.250403 (2003). · DOI
  19. O'Dell, D. H. J., Giovanazzi, S. & Kurizki, G. Rotons in gaseous bose-einstein condensates irradiated by a laser. Phys. Rev. Lett. 90, 110402, DOI: 10.1103/PhysRevLett.90.110402 (2003). · DOI
  20. Bisset, R. N., Blakie, P. B. & Stringari, S. Static-response theory and the roton-maxon spectrum of a flattened dipolar bose-einstein condensate. Phys. Rev. A 100, 013620, DOI: 10.1103/PhysRevA.100.013620 (2019). · DOI
  21. Celli, V. & Ruvalds, J. Theory of the liquid-solid phase transition in helium ii. Phys. Rev. Lett. 28, 539-542, DOI: 10.1103/PhysRevLett.28.539 (1972). · DOI
  22. Balibar, S. Rotons, Superfluidity, and Helium Crystals. AIP Conf. Proc. 850, 18-25, DOI: 10.1063/1.2354593 (2006). https://pubs.aip.org/aip/acp/article-pdf/850/1/18/11577074/18_1_online.pdf. · DOI
  23. Lee, T. D., Huang, K. & Yang, C. N. Eigenvalues and eigenfunctions of a bose system of hard spheres and its low- temperature properties. Phys. Rev. 106, 1135-1145, DOI: 10.1103/PhysRev.106.1135 (1957). · DOI
  24. Schützhold, R., Uhlmann, M., Xu, Y. & Fischer, U. R. Mean-field expansion in Bose-Einstein condensates with finite-range interactions. Int. J. Mod. Phys. B 20, 3555-3565, DOI: 10.1142/S0217979206035631 (2006). · DOI
  25. Lima, A. R. P. & Pelster, A. Beyond mean-field low-lying excitations of dipolar bose gases. Phys. Rev. A 86, 063609, DOI: 10.1103/PhysRevA.86.063609 (2012). · DOI
  26. Petrov, D. S. Quantum mechanical stabilization of a collapsing bose-bose mixture. Phys. Rev. Lett. 115, 155302, DOI: 10.1103/PhysRevLett.115.155302 (2015). · DOI
  27. Wächtler, F. & Santos, L. Quantum filaments in dipolar bose-einstein condensates. Phys. Rev. A 93, 061603, DOI: 10.1103/PhysRevA.93.061603 (2016). · DOI
  28. Ferrier-Barbut, I., Kadau, H., Schmitt, M., Wenzel, M. & Pfau, T. Observation of quantum droplets in a strongly dipolar bose gas. Phys. Rev. Lett. 116, 215301, DOI: 10.1103/PhysRevLett.116.215301 (2016). · DOI
  29. Kadau, H. et al. Observing the rosensweig instability of a quantum ferrofluid. Nature 530, 194-197, DOI: 10.1038/ nature16485 (2016). · DOI
  30. Schmitt, M., Wenzel, M., Böttcher, F., Ferrier-Barbut, I. & Pfau, T. Self-bound droplets of a dilute magnetic quantum liquid. Nature 539, 259-262, DOI: 10.1038/nature20126 (2016). · DOI
  31. Chomaz, L. et al. Quantum-fluctuation-driven crossover from a dilute bose-einstein condensate to a macrodroplet in a dipolar quantum fluid. Phys. Rev. X 6, 041039, DOI: 10.1103/PhysRevX.6.041039 (2016). · DOI
  32. Semeghini, G. et al. Self-bound quantum droplets of atomic mixtures in free space. Phys. Rev. Lett. 120, 235301, DOI: 10.1103/PhysRevLett.120.235301 (2018). · DOI
  33. Cabrera, C. R. et al. Quantum liquid droplets in a mixture of bose-einstein condensates. Science 359, 301-304, DOI: 10.1126/science.aao5686 (2018). https://science.sciencemag.org/content/359/6373/301.full.pdf. 10/14 · DOI
  34. Cheiney, P. et al. Bright soliton to quantum droplet transition in a mixture of bose-einstein condensates. Phys. Rev. Lett. 120, 135301, DOI: 10.1103/PhysRevLett.120.135301 (2018). · DOI
  35. Ferioli, G. et al. Collisions of self-bound quantum droplets. Phys. Rev. Lett. 122, 090401, DOI: 10.1103/PhysRevLett. 122.090401 (2019). · DOI
  36. Chomaz, L. et al. Observation of roton mode population in a dipolar quantum gas. Nat. Phys. 14, 442-446, DOI: 10.1038/s41567-018-0054-7 (2018). · DOI
  37. Petter, D. et al. Probing the roton excitation spectrum of a stable dipolar bose gas. Phys. Rev. Lett. 122, 183401, DOI: 10.1103/PhysRevLett.122.183401 (2019). · DOI
  38. Schmidt, J.-N. et al. Roton excitations in an oblate dipolar quantum gas. Phys. Rev. Lett. 126, 193002, DOI: 10.1103/ PhysRevLett.126.193002 (2021). · DOI
  39. Roccuzzo, S. M. & Ancilotto, F. Supersolid behavior of a dipolar bose-einstein condensate confined in a tube. Phys. Rev. A 99, 041601, DOI: 10.1103/PhysRevA.99.041601 (2019). · DOI
  40. Norcia, M. A. et al. Two-dimensional supersolidity in a dipolar quantum gas. Nature 596, 357-361, DOI: 10.1038/ s41586-021-03725-7 (2021). · DOI
  41. Bland, T. et al. Two-dimensional supersolid formation in dipolar condensates. Phys. Rev. Lett. 128, 195302, DOI: 10.1103/PhysRevLett.128.195302 (2022). · DOI
  42. Macrì, T., Maucher, F., Cinti, F. & Pohl, T. Elementary excitations of ultracold soft-core bosons across the superfluid- supersolid phase transition. Phys. Rev. A 87, 061602, DOI: 10.1103/PhysRevA.87.061602 (2013). · DOI
  43. Ancilotto, F., Rossi, M. & Toigo, F. Supersolid structure and excitation spectrum of soft-core bosons in three dimensions. Phys. Rev. A 88, 033618, DOI: 10.1103/PhysRevA.88.033618 (2013). · DOI
  44. Tanzi, L. et al. Supersolid symmetry breaking from compressional oscillations in a dipolar quantum gas. Nature 574, 382, DOI: 10.1038/s41586-019-1568-6 (2019). · DOI
  45. Guo, M. et al. The low-energy Goldstone mode in a trapped dipolar supersolid. Nature 574, 386, DOI: 10.1038/ s41586-019-1569-5 (2019). · DOI
  46. Mossman, S. M. Sounds of a supersolid detected in dipolar atomic gases for the first time. Nature 574, 382, DOI: 10.1038/d41586-019-03045-x (2019). · DOI
  47. Natale, G. et al. Excitation spectrum of a trapped dipolar supersolid and its experimental evidence. Phys. Rev. Lett. 123, 050402, DOI: 10.1103/PhysRevLett.123.050402 (2019). · DOI
  48. Norcia, M. A. et al. Two-dimensional supersolidity in a dipolar quantum gas. Nature 596, 357-361, DOI: 10.1038/ s41586-021-03725-7 (2021). · DOI
  49. Biagioni, G. et al. Dimensional crossover in the superfluid-supersolid quantum phase transition. Phys. Rev. X 12, 021019, DOI: 10.1103/PhysRevX.12.021019 (2022). · DOI
  50. Norcia, M. A. et al. Can angular oscillations probe superfluidity in dipolar supersolids? Phys. Rev. Lett. 129, 040403, DOI: 10.1103/PhysRevLett.129.040403 (2022). · DOI
  51. Roccuzzo, S. M., Recati, A. & Stringari, S. Moment of inertia and dynamical rotational response of a supersolid dipolar gas. Phys. Rev. A 105, 023316, DOI: 10.1103/PhysRevA.105.023316 (2022). · DOI
  52. Roccuzzo, S. M., Gallemí, A., Recati, A. & Stringari, S. Rotating a supersolid dipolar gas. Phys. Rev. Lett. 124, 045702, DOI: 10.1103/PhysRevLett.124.045702 (2020). · DOI
  53. Tanzi, L. et al. Evidence of superfluidity in a dipolar supersolid from nonclassical rotational inertia. Science 371, 1162-1165, DOI: 10.1126/science.aba4309 (2021). https://www.science.org/doi/pdf/10.1126/science.aba4309. · DOI
  54. Guéry-Odelin, D. & Stringari, S. Scissors mode and superfluidity of a trapped bose-einstein condensed gas. Phys. Rev. Lett. 83, 4452-4455, DOI: 10.1103/PhysRevLett.83.4452 (1999). · DOI
  55. Maragò, O. M. et al. Observation of the scissors mode and evidence for superfluidity of a trapped bose-einstein condensed gas. Phys. Rev. Lett. 84, 2056-2059, DOI: 10.1103/PhysRevLett.84.2056 (2000). · DOI
  56. Ferrier-Barbut, I. et al. Scissors mode of dipolar quantum droplets of dysprosium atoms. Phys. Rev. Lett. 120, 160402, DOI: 10.1103/PhysRevLett.120.160402 (2018). · DOI
  57. Abrikosov, A. A. Nobel lecture: Type-ii superconductors and the vortex lattice. Rev. Mod. Phys. 76, 975-979, DOI: 10.1103/RevModPhys.76.975 (2004). 11/14 · DOI
  58. Donnelly, J. R. Quantized Vortices in Heluim II (Cambridge University Press, 1991).
  59. Carusotto, I. & Ciuti, C. Quantum fluids of light. Rev. Mod. Phys. 85, 299-366, DOI: 10.1103/RevModPhys.85.299 (2013). · DOI
  60. Pitaevskii, L. & Stringari, S. Bose-Einstein condensation and superfluidity (Oxford University Press, 2016).
  61. Klaus, L. et al. Observation of vortices and vortex stripes in a dipolar condensate. Nat. Phys. 18, 1453-1458, DOI: 10.1038/s41567-022-01793-8 (2022). · DOI
  62. Gallemí, A., Roccuzzo, S. M., Stringari, S. & Recati, A. Quantized vortices in dipolar supersolid bose-einstein-condensed gases. Phys. Rev. A 102, 023322, DOI: 10.1103/PhysRevA.102.023322 (2020). · DOI
  63. Ancilotto, F., Barranco, M., Pi, M. & Reatto, L. Vortex properties in the extended supersolid phase of dipolar bose-einstein condensates. Phys. Rev. A 103, 033314, DOI: 10.1103/PhysRevA.103.033314 (2021). · DOI
  64. Lu, H.-Y. et al. Spatial density oscillations in trapped dipolar condensates. Phys. Rev. A 82, 023622, DOI: 10.1103/ PhysRevA.82.023622 (2010). · DOI
  65. Roccuzzo, S. M., Stringari, S. & Recati, A. Supersolid edge and bulk phases of a dipolar quantum gas in a box. Phys. Rev. Res. 4, 013086, DOI: 10.1103/PhysRevResearch.4.013086 (2022). · DOI
  66. Zhang, Y.-C., Maucher, F. & Pohl, T. Supersolidity around a critical point in dipolar bose-einstein condensates. Phys. Rev. Lett. 123, 015301, DOI: 10.1103/PhysRevLett.123.015301 (2019). · DOI
  67. Blakie, P. B., Baillie, D., Chomaz, L. & Ferlaino, F. Supersolidity in an elongated dipolar condensate. Phys. Rev. Res. 2, 043318, DOI: 10.1103/PhysRevResearch.2.043318 (2020). · DOI
  68. Sohmen, M. et al. Birth, life, and death of a dipolar supersolid. Phys. Rev. Lett. 126, 233401, DOI: 10.1103/PhysRevLett. 126.233401 (2021). · DOI
  69. Sánchez-Baena, J., Politi, C., Maucher, F., Ferlaino, F. & Pohl, T. Heating a dipolar quantum fluid into a solid. Nat. Commun. 14, 1868, DOI: 10.1038/s41467-023-37207-3 (2023). · DOI
  70. Ilzhöfer, P. et al. Phase coherence in out-of-equilibrium supersolid states of ultracold dipolar atoms. Nat. Phys. 17, 356-361, DOI: 10.1038/s41567-020-01100-3 (2021). · DOI
  71. Tao, J., Zhao, M. & Spielman, I. Observation of anisotropic superfluid density in an artificial crystal, DOI: 10.48550/ ARXIV.2301.01258 (2023). · DOI
  72. Chauveau, G. et al. Superfluid fraction in an interacting spatially modulated bose-einstein condensate, DOI: 10.48550/ ARXIV.2302.01776 (2023). · DOI
  73. Saslow, W. M. Microscopic and hydrodynamic theory of superfluidity in periodic solids. Phys. Rev. B 15, 173-186, DOI: 10.1103/PhysRevB.15.173 (1977). · DOI
  74. Yoo, C.-D. & Dorsey, A. T. Hydrodynamic theory of supersolids: Variational principle, effective lagrangian, and density-density correlation function. Phys. Rev. B 81, 134518, DOI: 10.1103/PhysRevB.81.134518 (2010). · DOI
  75. Hofmann, J. & Zwerger, W. Hydrodynamics of a superfluid smectic. J. Stat. Mech. 033104, DOI: 10.1088/1742-5468/ abe598 (2021). · DOI
  76. Zapata, I., Sols, F. & Leggett, A. J. Josephson effect between trapped bose-einstein condensates. Phys. Rev. A 57, R28-R31, DOI: 10.1103/PhysRevA.57.R28 (1998). · DOI
  77. Trautmann, A. et al. Dipolar quantum mixtures of erbium and dysprosium atoms. Phys. Rev. Lett. 121, 213601, DOI: 10.1103/PhysRevLett.121.213601 (2018). · DOI
  78. Durastante, G. et al. Feshbach resonances in an erbium-dysprosium dipolar mixture. Phys. Rev. A 102, 033330, DOI: 10.1103/PhysRevA.102.033330 (2020). · DOI
  79. Politi, C. et al. Interspecies interactions in an ultracold dipolar mixture. Phys. Rev. A 105, 023304, DOI: 10.1103/ PhysRevA.105.023304 (2022). · DOI
  80. Li, S., Le, U. N. & Saito, H. Long-lifetime supersolid in a two-component dipolar bose-einstein condensate. Phys. Rev. A 105, L061302, DOI: 10.1103/PhysRevA.105.L061302 (2022). · DOI
  81. Bland, T. et al. Alternating-domain supersolids in binary dipolar condensates. Phys. Rev. A 106, 053322, DOI: 10.1103/ PhysRevA.106.053322 (2022). · DOI
  82. Bombin, R., Boronat, J. & Mazzanti, F. Dipolar bose supersolid stripes. Phys. Rev. Lett. 119, 250402, DOI: 10.1103/ PhysRevLett.119.250402 (2017). 12/14 · DOI
  83. Cinti, F. & Boninsegni, M. Absence of superfluidity in 2d dipolar bose striped crystals. J. Low Temp. Phys. 196, 413-422, DOI: 10.1007/s10909-019-02209-3 (2019). · DOI
  84. Bombín, R., Mazzanti, F. & Boronat, J. Berezinskii-Kosterlitz-Thouless transition in two-dimensional dipolar stripes. Phys. Rev. A 100, 063614, DOI: 10.1103/PhysRevA.100.063614 (2019). · DOI
  85. Staudinger, C., Hufnagl, D., Mazzanti, F. & Zillich, R. E. Striped ultradilute liquid of dipolar bosons in two dimensions, DOI: 10.48550/ARXIV.2208.05028 (2022). · DOI
  86. Wenzel, M., Böttcher, F., Langen, T., Ferrier-Barbut, I. & Pfau, T. Striped states in a many-body system of tilted dipoles. Phys. Rev. A 96, 053630, DOI: 10.1103/PhysRevA.96.053630 (2017). · DOI
  87. Ho, T.-L. & Zhang, S. Bose-einstein condensates with spin-orbit interaction. Phys. Rev. Lett. 107, 150403, DOI: 10.1103/PhysRevLett.107.150403 (2011). · DOI
  88. Li, Y., Pitaevskii, L. P. & Stringari, S. Quantum tricriticality and phase transitions in spin-orbit coupled bose-einstein condensates. Phys. Rev. Lett. 108, 225301, DOI: 10.1103/PhysRevLett.108.225301 (2012). · DOI
  89. Zhai, H. Degenerate quantum gases with spin-orbit coupling: a review. Reports on Prog. Phys. 78, 026001, DOI: 10.1088/0034-4885/78/2/026001 (2015). · DOI
  90. Li, Y., Martone, G. I. & Stringari, S. SPIN-ORBIT-COUPLED BOSE-EINSTEIN CONDENSATES, chap. CHAPTER 5, 201-250. https://www.worldscientific.com/doi/pdf/10.1142/9789814667746_0005. · DOI
  91. Lin, Y. J., Jiménez-García, K. & Spielman, I. B. Spin-orbit-coupled bose-einstein condensates. Nature 471, 83-86, DOI: 10.1038/nature09887 (2011). · DOI
  92. Li, Y., Martone, G. I., Pitaevskii, L. P. & Stringari, S. Superstripes and the excitation spectrum of a spin-orbit-coupled bose-einstein condensate. Phys. Rev. Lett. 110, 235302, DOI: 10.1103/PhysRevLett.110.235302 (2013). · DOI
  93. Chen, L., Pu, H., Yu, Z.-Q. & Zhang, Y. Collective excitation of a trapped bose-einstein condensate with spin-orbit coupling. Phys. Rev. A 95, 033616, DOI: 10.1103/PhysRevA.95.033616 (2017). · DOI
  94. Geier, K. T., Martone, G. I., Hauke, P. & Stringari, S. Exciting the goldstone modes of a supersolid spin-orbit-coupled bose gas. Phys. Rev. Lett. 127, 115301, DOI: 10.1103/PhysRevLett.127.115301 (2021). · DOI
  95. Geier, K. T., Martone, G. I., Hauke, P., Ketterle, W. & Stringari, S. Dynamics of stripe patterns in supersolid spin-orbit- coupled bose gases, DOI: 10.48550/ARXIV.2210.10064 (2022). · DOI
  96. Mivehvar, F., Piazza, F., Donner, T. & Ritsch, H. Cavity qed with quantum gases: new paradigms in many-body physics. Adv. Phys. 70, 1-153, DOI: 10.1080/00018732.2021.1969727 (2021). https://doi.org/10.1080/00018732.2021.1969727. · DOI
  97. Léonard, J., Morales, A., Zupancic, P., Esslinger, T. & Donner, T. Supersolid formation in a quantum gas breaking a continuous translational symmetry. Nature 543, 87 (2017).
  98. Léonard, J., Morales, A., Zupancic, P., Donner, T. & Esslinger, T. Monitoring and manipulating higgs and goldstone modes in a supersolid quantum gas. Science 358, 1415-1418, DOI: 10.1126/science.aan2608 (2017). https://science. sciencemag.org/content/358/6369/1415.full.pdf. 100. · DOI

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Authors
Recati, A., & Stringari, S.
Affiliations
University of Trento (IT)
Corresponding author
  • Recati, Alessio
  • Stringari, Sandro
ORCID
Venue
Nature Reviews Physics
Publisher
Springer Science and Business Media LLC
Published
2023-10-09
Volume
5
Issue
12
Pages
735-743
ISSN
2522-5820 (ISSN-L)
DOI
10.1038/s42254-023-00648-2
OpenAlex
W4387451262
Cited by
61
References
0
Citations by year
2026: 22 · 2025: 28 · 2024: 10 · 2023: 1
FWCI
1.30
Type
journal article
Language
en
Open access
Licence
Locations
  • Nature Reviews Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion, cc-by)
  • arXiv (Cornell University) (cc-by)
Funders
  • Ministero dell’Istruzione, dell’Università e della Ricerca (PRIN_2017, 20172H2SC4, PE0000023, PE0000023-NQSTI)
  • Provincia Autonoma di Trento (PE0000023-NQSTI)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Cold Atom Physics and Bose-Einstein Condensates
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum, superfluid, helium dynamics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Strong Light-Matter Interactions
Keywords
supersolidity, Bose-Einstein condensate, long-range dipolar interactions, density modulation, coherence effects, Goldstone modes, quantized vortices, dimensionality, phase transitions, cold atoms

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