Testing universality of Feynman-Tan relation in interacting Bose gases using high-order Bragg spectra

Yunfei Wang; Huiying Du; Yuqing Li; Feng Mei; Ying Hu; Liantuan Xiao; Jie Ma; Suotang Jia

doi:10.1038/s41377-023-01103-8

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Testing universality of Feynman-Tan relation in interacting Bose gases using high-order Bragg spectra

Original Articles

- Testing universality of Feynman-Tan relation in interacting Bose gases using high-order Bragg spectra
- Light: Science & Applications Vol. 12, Issue 3, Pages: 409-414(2023)
- Affiliations：
  
  1.State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Laser Spectroscopy, Shanxi University, Taiyuan, China
  2.Collaborative Innovation Center of Extreme Optics, Shanxi University, Taiyuan, China
  3.Hefei National Laboratory, Hefei, China
- Author bio：
  
  Yuqing Li (lyqing.2006@163.com)
  Jie Ma (mj@sxu.edu.cn)
- Funds：
- DOI：10.1038/s41377-023-01103-8
  CLC：
- Published：31 March 2023，
  
  Published Online：28 February 2023，
  
  Received：2 August 2022，
  
  Revised：6 February 2023，
  
  Accepted：13 February 2023
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Wang, Y. F. et al. Testing universality of Feynman-Tan relation in interacting Bose gases using high-order Bragg spectra. Light: Science & Applications, 12, 409-414 (2023).
DOI：

Wang, Y. F. et al. Testing universality of Feynman-Tan relation in interacting Bose gases using high-order Bragg spectra. Light: Science & Applications, 12, 409-414 (2023). DOI： 10.1038/s41377-023-01103-8.

摘要

Abstract

The Feynman-Tan relation

obtained by combining the Feynman energy relation with the Tan's two-body contact

can explain the excitation spectra of strongly interacting

K Bose-Einstein condensate (BEC). Since the shift of excitation resonance in the Feynman-Tan relation is inversely proportional to atomic mass

the test of whether this relation is universal for other atomic systems is significant for describing the effect of interaction in strongly correlated Bose gases. Here we measure the high-momentum excitation spectra of

133

Cs BEC with widely tunable interactions by using the second- and third-order Bragg spectra. We observe the backbending of frequency shift of excitation resonance with increasing interaction

and even the shift changes its sign under the strong interactions in the high-order Bragg spectra. Our finding shows good agreement with the prediction based on the Feynman-Tan relation. Our results provide significant insights for understanding the profound properties of strongly interacting Bose gases.

关键词

Keywords

references

F. Chevy, C. Salomon. Strongly correlated Bose gases. J. Phys. B, 2016. 49192001DOI:10.1088/0953-4075/49/19/192001http://doi.org/10.1088/0953-4075/49/19/192001.

S. J. Deng, 等. Observation of the Efimovian expansion in scale-invariant Fermi gases. Science, 2016. 353371DOI:10.1126/science.aaf0666http://doi.org/10.1126/science.aaf0666.

C. Gao, M. Y. Sun, P. Zhang, H. Zhai. Universal dynamics of a degenerate Bose gas quenched to unitarity. Phys. Rev. Lett., 2020. 124040403DOI:10.1103/PhysRevLett.124.040403http://doi.org/10.1103/PhysRevLett.124.040403.

C. Chin, R. Grimm, P. Julienne, E. Tiesinga. Feshbach resonances in ultracold gases. Rev. Mod. Phys., 2010. 821225DOI:10.1103/RevModPhys.82.1225http://doi.org/10.1103/RevModPhys.82.1225.

S. Tan. Energetics of a strongly correlated Fermi gas. Ann. Phys. (Amst.), 2008. 3232952DOI:10.1016/j.aop.2008.03.004http://doi.org/10.1016/j.aop.2008.03.004.

S. Tan. Large momentum part of a strongly correlated Fermi gas. Ann. Phys. (Amst.), 2008. 3232971DOI:10.1016/j.aop.2008.03.005http://doi.org/10.1016/j.aop.2008.03.005.

S. Tan. Generalized virial theorem and pressure relation for a strongly correlated Fermi gas. Ann. Phys. (Amst.), 2008. 3232987DOI:10.1016/j.aop.2008.03.003http://doi.org/10.1016/j.aop.2008.03.003.

R. J. Wild, P. Makotyn, J. M. Pino, E. A. Cornell, D. S. Jin. Measurements of Tan's contact in an atomic Bose-Einstein condensate. Phys. Rev. Lett., 2012. 108145305DOI:10.1103/PhysRevLett.108.145305http://doi.org/10.1103/PhysRevLett.108.145305.

S. Hoinka, 等. Precise determination of the structure factor and contact in a unitary Fermi gas. Phys. Rev. Lett., 2013. 110055305DOI:10.1103/PhysRevLett.110.055305http://doi.org/10.1103/PhysRevLett.110.055305.

R. J. Fletcher, 等. Two- and three-body contacts in the unitary Bose gas. Science, 2017. 355377DOI:10.1126/science.aai8195http://doi.org/10.1126/science.aai8195.

C. Carcy, 等. Contact and sum rules in a near-uniform Fermi gas at unitarity. Phys. Rev. Lett., 2019. 122203401DOI:10.1103/PhysRevLett.122.203401http://doi.org/10.1103/PhysRevLett.122.203401.

N. N. Bogoliubov. On the theory of superfluidity. J. Phys. USSR, 1947. 1123.

S. Giorgini, J. Boronat, J. Casulleras. Ground state of a homogeneous Bose gas: a diffusion monte carlo calculation. Phys. Rev. A, 1999. 605129DOI:10.1103/PhysRevA.60.5129http://doi.org/10.1103/PhysRevA.60.5129.

D. M. Stamper-Kurn, 等. Excitation of phonons in a Bose-Einstein condensate by light scattering. Phys. Rev. Lett., 1999. 832876DOI:10.1103/PhysRevLett.83.2876http://doi.org/10.1103/PhysRevLett.83.2876.

J. Stenger, 等. Bragg spectroscopy of a Bose-Einstein condensate. Phys. Rev. Lett., 1999. 824569DOI:10.1103/PhysRevLett.82.4569http://doi.org/10.1103/PhysRevLett.82.4569.

J. Steinhauer, R. Ozeri, N. Katz, N. Davidson. Excitation spectrum of a Bose-Einstein condensate. Phys. Rev. Lett., 2002. 88120407DOI:10.1103/PhysRevLett.88.120407http://doi.org/10.1103/PhysRevLett.88.120407.

I. Gotlibovych, 等. Observing properties of an interacting homogeneous Bose-Einstein condensate: Heisenberg-limited momentum spread, interaction energy, and free-expansion dynamics. Phys. Rev. A, 2014. 89061604(R)DOI:10.1103/PhysRevA.89.061604http://doi.org/10.1103/PhysRevA.89.061604.

S. B. Papp, 等. Bragg spectroscopy of a strongly interacting 85Rb Bose-Einstein condensate. Phys. Rev. Lett., 2008. 101135301DOI:10.1103/PhysRevLett.101.135301http://doi.org/10.1103/PhysRevLett.101.135301.

S. Ronen. The dispersion relation of a Bose gas in the intermediate- and high-momentum regimes. J. Phys. B, 2009. 42055301DOI:10.1088/0953-4075/42/5/055301http://doi.org/10.1088/0953-4075/42/5/055301.

J. J. Kinnunen, M. J. Holland. Bragg spectroscopy of a strongly interacting Bose-Einstein condensate. N. J. Phys., 2009. 11013030DOI:10.1088/1367-2630/11/1/013030http://doi.org/10.1088/1367-2630/11/1/013030.

R. Sarjonen, M. Saarela, F. Mazzanti. The effective two-particle interaction of cold atoms as derived from Bragg scattering. J. Low. Temp. Phys., 2012. 169400DOI:10.1007/s10909-012-0745-xhttp://doi.org/10.1007/s10909-012-0745-x.

C. E. Sahlberg, R. J. Ballagh, C. W. Gardiner. Dynamic effects of a Feshbach resonance on Bragg scattering from a Bose-Einstein condensate. Phys. Rev. A, 2013. 87043621DOI:10.1103/PhysRevA.87.043621http://doi.org/10.1103/PhysRevA.87.043621.

J. Hofmann, W. Zwerger. Deep inelastic scattering on ultracold gases. Phys. Rev. X, 2017. 7011022.

R. Lopes, 等. Quasiparticle energy in a strongly interacting homogeneous Bose-Einstein condensate. Phys. Rev. Lett., 2017. 118210401DOI:10.1103/PhysRevLett.118.210401http://doi.org/10.1103/PhysRevLett.118.210401.

G. Veeravalli, E. Kuhnle, P. Dyke, C. J. Vale. Bragg spectroscopy of a strongly interacting Fermi gas. Phys. Rev. Lett., 2008. 101250403DOI:10.1103/PhysRevLett.101.250403http://doi.org/10.1103/PhysRevLett.101.250403.

S. Hoinka, M. Lingham, M. Delehaye, C. J. Vale. Dynamic spin response of a strongly interacting Fermi gas. Phys. Rev. Lett., 2012. 109050403DOI:10.1103/PhysRevLett.109.050403http://doi.org/10.1103/PhysRevLett.109.050403.

R. Lopes, 等. Quantum depletion of a homogeneous Bose-Einstein condensate. Phys. Rev. Lett., 2017. 119190404DOI:10.1103/PhysRevLett.119.190404http://doi.org/10.1103/PhysRevLett.119.190404.

T. L. Yang, 等. Measurement of the dynamical structure factor of a 1D interacting Fermi gas. Phys. Rev. Lett., 2018. 121103001DOI:10.1103/PhysRevLett.121.103001http://doi.org/10.1103/PhysRevLett.121.103001.

C. C. N. Kuhn, 等. High-frequency sound in a unitary Fermi gas. Phys. Rev. Lett., 2020. 124150401DOI:10.1103/PhysRevLett.124.150401http://doi.org/10.1103/PhysRevLett.124.150401.

C. J. Vale, M. Zwierlein. Spectroscopic probes of quantum gases. Nat. Phys., 2021. 171305DOI:10.1038/s41567-021-01434-6http://doi.org/10.1038/s41567-021-01434-6.

R. P. Feynman. Atomic theory of the two-fluid model of liquid Helium. Phys. Rev., 1954. 94262DOI:10.1103/PhysRev.94.262http://doi.org/10.1103/PhysRev.94.262.

T. Weber, J. Herbig, M. Mark, H.-C. Nӓgerl, R. Grimm. Bose-Einstein condensation of cesium. Science, 2003. 299232DOI:10.1126/science.1079699http://doi.org/10.1126/science.1079699.

C.-L. Hung, X. B. Zhang, N. Gemelke, C. Chin. Accelerating evaporative cooling of atoms into Bose-Einstein condensation in optical traps. Phys. Rev. A, 2008. 78011604(R)DOI:10.1103/PhysRevA.78.011604http://doi.org/10.1103/PhysRevA.78.011604.

Y. F. Wang, 等. Hybrid evaporative cooling of 133Cs atoms to Bose-Einstein condensation. Opt. Express, 2021. 2913960DOI:10.1364/OE.419854http://doi.org/10.1364/OE.419854.

E. J. Meier, F. A. An, B. Gadway. Atom-optics simulator of lattice transport phenomena. Phys. Rev. A, 2016. 93051602(R)DOI:10.1103/PhysRevA.93.051602http://doi.org/10.1103/PhysRevA.93.051602.

F. A. An, E. J. Meier, J. Ang'ong'a, B. Gadway. Correlated dynamics in a synthetic lattice of momentum states. Phys. Rev. Lett., 2018. 120040407DOI:10.1103/PhysRevLett.120.040407http://doi.org/10.1103/PhysRevLett.120.040407.

W. Gou, 等. Tunable nonreciprocal quantum transport through a dissipative Aharonov-Bohm Ring in ultracold atoms. Phys. Rev. Lett., 2020. 124070402DOI:10.1103/PhysRevLett.124.070402http://doi.org/10.1103/PhysRevLett.124.070402.

Y. Q. Li, 等. Atom-optically synthetic gauge fields for a noninteracting Bose gas. Light Sci. Appl., 2022. 1113DOI:10.1038/s41377-021-00702-7http://doi.org/10.1038/s41377-021-00702-7.

Y. F. Wang, 等. Observation of Interaction-induced mobility edge in an atomic Aubry-André wire. Phys. Rev. Lett., 2022. 129103401DOI:10.1103/PhysRevLett.129.103401http://doi.org/10.1103/PhysRevLett.129.103401.

T. Kraemer, 等. Evidence for Efimov quantum states in an ultracold gas of cesium atoms. Nature, 2006. 440315DOI:10.1038/nature04626http://doi.org/10.1038/nature04626.

E. Giese, A. Roura, G. Tackmann, E. M. Rasel, W. P. Schleich. Double Bragg diffraction: a tool for atom optics. Phys. Rev. A, 2013. 88053608DOI:10.1103/PhysRevA.88.053608http://doi.org/10.1103/PhysRevA.88.053608.

S. Hartmann, J. Jenewein, S. Abend, A. Roura, E. Giese. Atomic Raman scattering: third-order diffraction in a double geometry. Phys. Rev. A, 2020. 102063326DOI:10.1103/PhysRevA.102.063326http://doi.org/10.1103/PhysRevA.102.063326.

H. Müller, S.-W. Chiow, Q. Long, S. Herrmann, S. Chu. Atom interferometry with up to 24-photon-momentum transfer beam splitters. Phys. Rev. Lett., 2008. 100180405DOI:10.1103/PhysRevLett.100.180405http://doi.org/10.1103/PhysRevLett.100.180405.

L. Zhou, 等. Test of equivalence principle at 10−8 level by a dual-species double-diffraction raman atom interferometer. Phys. Rev. Lett., 2015. 115013004DOI:10.1103/PhysRevLett.115.013004http://doi.org/10.1103/PhysRevLett.115.013004.

P. Berg, 等. Composite-light-pulse technique for high-precision atom interferometry. Phys. Rev. Lett., 2015. 114063002DOI:10.1103/PhysRevLett.114.063002http://doi.org/10.1103/PhysRevLett.114.063002.

H. Ahlers, 等. Double Bragg interferometry. Phys. Rev. Lett., 2016. 116173601DOI:10.1103/PhysRevLett.116.173601http://doi.org/10.1103/PhysRevLett.116.173601.

B. Plotkin-Swing, 等. Three-path atom interferometry with large momentum separation. Phys. Rev. Lett., 2018. 121133201DOI:10.1103/PhysRevLett.121.133201http://doi.org/10.1103/PhysRevLett.121.133201.

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