Skip to main content
SpringerLink
Log in

Quantum dynamics of few dipolar bosons in a double-well potential

  • Regular Article – Cold Matter and Quantum Gases
  • Published:
The European Physical Journal D Aims and scope Submit manuscript

Abstract

We study the few-body dynamics of dipolar bosons in one-dimensional double-wells. By varying the interaction strength and investigating one-body observables, in the considered few-body systems we study tunneling oscillations, self-trapping, and a regime exhibiting an equilibrating behavior. The corresponding two-body correlation dynamics exhibits a strong interplay between the interatomic correlation due to non-local nature of the repulsion and the inter-well coherence. We also study the link between the correlation dynamics and the occupation of natural orbitals of the one-body density matrix.

Graphical abstract

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The data generated in this article will be shared on reasonable request to the corresponding author.]

References

  1. A. Smerzi, S. Fantoni, S. Giovanazzi, S.R. Shenoy, Phys. Rev. Lett. 79, 4950 (1997)

    Article  ADS  Google Scholar 

  2. F.S. Cataliotti, S. Burger, C. Fort, P. Maddaloni, F. Minardi, A. Trombettoni, A. Smerzi, M. Inguscio, Science 293, 483 (2001)

    Article  Google Scholar 

  3. M. Albiez, R. Gati, J. Fölling, S. Hunsmann, M. Cristiani, M.K. Oberthaler, Phys. Rev. Lett. 95, 010402 (2005)

  4. T. Schumm, S. Hofferberth, L.M. Andersson, S. Wildermuth, S. Groth, I. Bar-Joseph, J. Schmiedmayer, P. Krüger, Nat. Phys. 1, 57 (2005)

    Article  Google Scholar 

  5. T. Anker, M. Albiez, R. Gati, S. Hunsmann, B. Eiermann, A. Trombettoni, M.K. Oberthaler, Phys. Rev. Lett. 94, 020403 (2005)

    Article  ADS  Google Scholar 

  6. S. Levy, E. Lahoud, I. Shomroni, J. Steinhauer, Nature 449, 579 (2007)

    Article  ADS  Google Scholar 

  7. B.V. Hall, S. Whitlock, R. Anderson, P. Hannaford, A.I. Sidorov, Phys. Rev. Lett. 98, 030402 (2007)

    Article  ADS  Google Scholar 

  8. J. Estève, C. Gross, A. Weller, S. Giovanazzi, M.K. Oberthaler, Nature 455, 1216 (2008)

    Article  ADS  Google Scholar 

  9. L.J. LeBlanc, A.B. Bardon, J. McKeever, M.H.T. Extavour, D. Jervis, J.H. Thywissen, F. Piazza, A. Smerzi, Phys. Rev. Lett. 106, 025302 (2011)

    Article  ADS  Google Scholar 

  10. G. Spagnolli, G. Semeghini, L. Masi, G. Ferioli, A. Trenkwalder, S. Coop, M. Landini, L. Pezzé, G. Modugno, M. Inguscio, A. Smerzi, M. Fattori, Phys. Rev. Lett. 118, 230403 (2017)

    Article  ADS  Google Scholar 

  11. K. Xhani, E. Neri, L. Galantucci, F. Scazza, A. Burchianti, K.-L. Lee, C. F. Barenghi, A. Trombettoni, M. Inguscio, M. Zaccanti, G. Roati, and N. P. Proukakis. Phys. Rev. Lett. 124, 045301 (2020)

  12. K. Xhani, L. Galantucci, C. F. Barenghi, G. Roati, A. Trombettoni, and N. P. Proukakis, New J. Phys. 22, 123006 (2020)

  13. G. Valtolina, A. Burchianti, A. Amico, E. Neri, K. Xhani, J.A. Seman, A. Trombettoni, A. Smerzi, M. Zaccanti, M. Inguscio, G. Roati, Science 350, 1505 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  14. A. Burchianti, F. Scazza, A. Amico, G. Valtolina, J.A. Seman, C. Fort, M. Zaccanti, M. Inguscio, G. Roati, Phys. Rev. Lett. 120, 025302 (2018)

    Article  ADS  Google Scholar 

  15. N. Luick, L. Sobirey, M. Bohlen, V. P. Singh, L. Mathey, T. Lompe, and H. Moritz. arXiv:1908.09776

  16. W. J. Kwon, G. Del Pace, R. Panza, M. Inguscio, W. Zwerger, M. Zaccanti, F. Scazza, and G. Roati. arXiv:1908.09696

  17. I. Zapata, F. Sols, A.J. Leggett, Phys. Rev. A 57, R28 (1998)

    Article  ADS  Google Scholar 

  18. S. Raghavan, A. Smerzi, S. Fantoni, S.R. Shenoy, Phys. Rev. A 59, 620 (1999)

    Article  ADS  Google Scholar 

  19. A. Smerzi, A. Trombettoni, Phys. Rev. A 68, 023613 (2003)

    Article  ADS  Google Scholar 

  20. D. Ananikian, T. Bergeman, Phys. Rev. A 73, 013604 (2006)

    Article  ADS  Google Scholar 

  21. D.M. Jezek, P. Capuzzi, H.M. Cataldo, Phys. Rev. A 87, 053625 (2013)

    Article  ADS  Google Scholar 

  22. J. Javanainen, M. Wilkens, Phys. Rev. Lett. 78, 4675 (1997)

    Article  ADS  Google Scholar 

  23. S. Raghavan, A. Smerzi, V.M. Kenkre, Phys. Rev. A 60, R1787(R) (1999)

    Article  ADS  Google Scholar 

  24. R. Franzosi, V. Penna, R. Zecchina, Int. J. Mod. Phys. B 14, 943 (2000)

    ADS  Google Scholar 

  25. A. Smerzi, S. Raghavan, Phys. Rev. A 61, 063601 (2000)

    Article  ADS  Google Scholar 

  26. R. Gati, M.K. Oberthaler, J. Phys. B 40, R61 (2007)

    Article  ADS  Google Scholar 

  27. S. Giovanazzi, Estéve, and M. K. Oberthaler, New J. Phys. 10, 045009 (2008)

  28. L. Dell’Anna, Phys. Rev. A 85, 053608 (2012)

  29. M. Bilardello, A. Trombettoni, A. Bassi, Phys. Rev. A 95, 032134 (2017)

    Article  ADS  Google Scholar 

  30. G.-B. Jo, Y. Shin, S. Will, T.A. Pasquini, M. Saba, W. Ketterle, D.E. Pritchard, M. Vengalattore, M. Prentiss, Phys. Rev. Lett. 98, 030407 (2007)

    Article  ADS  Google Scholar 

  31. V. Gritsev, A. Polkovnikov, E. Demler, Phys. Rev. B 75, 174511 (2007)

    Article  ADS  Google Scholar 

  32. K. Agarwal, E.G. DallaTorre, J. Schmiedmayer, E. Demler, Phys. Rev. B 95, 195157 (2017)

    Article  ADS  Google Scholar 

  33. J. Polo, V. Ahufinger, F.W.J. Hekking, A. Minguzzi, Phys. Rev. Lett. 121, 090404 (2018)

    Article  ADS  Google Scholar 

  34. M. Pigneur, T. Berrada, M. Bonneau, T. Schumm, E. Demler, J. Schmiedmayer, Phys. Rev. Lett. 120, 173601 (2018)

    Article  ADS  Google Scholar 

  35. J. Polo, R. Dubessy, P. Pedri, H. Perrin, A. Minguzzi, Phys. Rev. Lett. 123, 195301 (2019)

    Article  ADS  Google Scholar 

  36. A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 73, 063626 (2006)

    Article  ADS  Google Scholar 

  37. A.I. Streltsov, Phys. Rev. A 88, 041602(R) (2013)

    Article  ADS  Google Scholar 

  38. O.I. Streltsov, O.E. Alon, L.S. Cederbaum, A.I. Streltsov, Phys. Rev. A 89, 061602(R) (2014)

    Article  ADS  Google Scholar 

  39. U.R. Fischer, A.U.J. Lode, B. Chatterjee, Phys. Rev. A 91, 063621 (2015)

    Article  ADS  Google Scholar 

  40. S. Zöllner, H. Meyer, P. Schmelcher, Phys. Rev. Lett. 100, 040401 (2008)

    Article  ADS  Google Scholar 

  41. K. Sakmann, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 103, 220601 (2009)

    Article  ADS  Google Scholar 

  42. K. Sakmann, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 82, 013620 (2010)

    Article  ADS  Google Scholar 

  43. K. Sakmann, A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. A 89, 023602 (2014)

    Article  ADS  Google Scholar 

  44. S.K. Haldar, O.E. Alon, New J. Phys. 21, 103037 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  45. A. Griesmaier, J. Werner, S. Hensler, J. Stuhler, T. Pfau, Phys. Rev. Lett. 94, 160401 (2005)

    Article  ADS  Google Scholar 

  46. Q. Beaufils, R. Chicireanu, T. Zanon, B. Laburthe-Tolra, E. Maréchal, L. Vernac, J.-C. Keller, O. Gorceix, Phys. Rev. A 77, 061601 (2008)

    Article  ADS  Google Scholar 

  47. M. Lu, N.Q. Burdick, S.H. Youn, B.L. Lev, Phys. Rev. Lett. 107, 190401 (2011)

    Article  ADS  Google Scholar 

  48. K. Aikawa, A. Frisch, M. Mark, S. Baier, A. Rietzler, R. Grimm, F. Ferlaino, Phys. Rev. Lett. 108, 210401 (2012)

    Article  ADS  Google Scholar 

  49. M.A. Baranov, Phys. Rep. 464, 71 (2008)

    Article  ADS  Google Scholar 

  50. T. Lahaye, C. Menotti, L. Santos, M. Lewenstein, T. Pfau, Rep. Prog. Phys. 72, 126401 (2009)

    Article  ADS  Google Scholar 

  51. Y. Tang, W. Kao, K.-Y. Li, S. Seo, K. Mallayya, M. Rigol, S. Gopalakrishnan, B. Lev, Phys. Rev. X 8, 021030 (2018)

    Google Scholar 

  52. D. Vodola, L. Lepori, E. Ercolessi, A.V. Gorshkov, G. Pupillo, Phys. Rev. Lett. 113, 156402 (2014)

    Article  ADS  Google Scholar 

  53. Z.-X. Gong, M.F. Maghrebi, A. Hu, M. Foss-Feig, P. Richerme, C. Monroe, A.V. Gorshkov, Phys. Rev. B 93, 205115 (2016)

    Article  ADS  Google Scholar 

  54. L. Lepori, D. Vodola, G. Pupillo, G. Gori, A. Trombettoni, Ann. Phys. 374, 35 (2016)

    Article  ADS  Google Scholar 

  55. G.L. Celardo, R. Kaiser, F. Borgonovi, Phys. Rev. B 94, 144206 (2016)

    Article  ADS  Google Scholar 

  56. N. Defenu, A. Trombettoni, S. Ruffo, Phys. Rev. B 94, 224411 (2016)

    Article  ADS  Google Scholar 

  57. N. Defenu, A. Trombettoni, S. Ruffo, Phys. Rev. B 96, 104432 (2017)

    Article  ADS  Google Scholar 

  58. L. Lepori, A. Trombettoni, D. Vodola, J. Stat. Mech. 033102(2017)

  59. F. Iglói, B. Bla\(\beta \), G. Roósz, and H. Rieger, Phys. Rev. B 98, 184415 (2018)

  60. B. Blaß, H. Rieger, G. Roósz, F. Iglói, Phys. Rev. Lett. 121, 095301 (2018)

    Article  ADS  Google Scholar 

  61. N. Defenu, T. Enss, M. Kastner, G. Morigi, Phys. Rev. Lett. 121, 240403 (2018)

    Article  ADS  Google Scholar 

  62. L. Lerose, B. Zunkovic, A. Silva, A. Gambassi, Phys. Rev. B 99, 121112 (2019)

    Article  ADS  Google Scholar 

  63. L. Santos, G.V. Shlyapnikov, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 85, 1791 (2000)

    Article  ADS  Google Scholar 

  64. S. Sinha, L. Santos, Phys. Rev. Lett. 99, 140406 (2007)

    Article  ADS  Google Scholar 

  65. R. Citro, E. Orignac, S. De Palo, M.-L. Chiofalo, Phys. Rev. A 75, 051602 (2007)

    Article  ADS  Google Scholar 

  66. P. Bader, U.R. Fischer, Phys. Rev. Lett. 103, 060402 (2009)

    Article  ADS  Google Scholar 

  67. N. Henkel, F. Cinti, P. Jain, G. Pupillo, T. Pohl, Phys. Rev. Lett. 108, 265301 (2012)

    Article  ADS  Google Scholar 

  68. F. Cinti, T. Macrì, W. Lechner, G. Pupillo, T. Pohl, Nat. Commun. 5, 3235 (2014)

    Article  ADS  Google Scholar 

  69. S. De Palo, R. Citro, E. Orignac, Phys. Rev. B 101, 045102 (2020)

    Article  ADS  Google Scholar 

  70. M. Abad, M. Guilleumas, R. Mayol, M. Pi, D.M. Jezek, Phys. Rev. A 84, 035601 (2011)

    Article  ADS  Google Scholar 

  71. M. Abad, M. Guilleumas, R. Mayol, M. Pi, D.M. Jezek, Eur. Phys. Lett. 94, 10004 (2011)

    Article  ADS  Google Scholar 

  72. A. Gallem, M. Guilleumas, R. Mayol, A. Sanpera, Phys. Rev. A 88, 063645 (2013)

    Article  ADS  Google Scholar 

  73. M. Asad-uz-Zaman, D. Blume, Phys. Rev. A 80, 053622 (2009)

    Article  ADS  Google Scholar 

  74. G. Mazzarella, L. Dell’Anna, EPJ ST 217, 197 (2013)

  75. S.K. Haldar, O.E. Alon, Chem. Phys. 509, 72 (2018)

    Article  Google Scholar 

  76. S.K. Haldar, O.E. Alon, J. Phys. Conf. Ser. 1206, 012010 (2019)

    Article  Google Scholar 

  77. M. Olshanii, Phys. Rev. Lett. 81, 938 (1998)

    Article  ADS  Google Scholar 

  78. A.J. Leggett, Rev. Mod. Phys. 73, 307 (2001)

    Article  ADS  Google Scholar 

  79. A.I. Streltsov, O.E. Alon, L.S. Cederbaum, Phys. Rev. Lett. 99, 030402 (2007)

    Article  ADS  Google Scholar 

  80. O.E. Alon, A.I. Streltsov, L.S. Cederbaum, Phys. Rev. A 77, 033613 (2008)

    Article  ADS  Google Scholar 

  81. E. Fasshauer, A.U.J. Lode, Phys. Rev. A 93, 033635 (2016)

    Article  ADS  Google Scholar 

  82. Rui Lin et al., Quantum Sci. Technol. 5, 024004 (2020)

    Article  ADS  Google Scholar 

  83. A. U. J. Lode, M. C. Tsatsos, E. Fasshauer, R. Lin, L. Papariello, P. Molignini, C. Lévêque, and S. E. Weiner, MCTDH-X:The time-dependent multiconfigurational Hartree for indistinguishable particles software. http://ultracold.org (2018)

  84. A.U.J. Lode, Phys. Rev. A 93, 063601 (2016)

    Article  ADS  Google Scholar 

  85. B. Chatterjee, C. Lévêque, J. Schmiedmayer, A.U.J. Lode, Phys. Rev. Lett. 125, 093602 (2020)

    Article  ADS  Google Scholar 

  86. Budhaditya Chatterjee, Axel U J. Lode, Phys. Rev. A 98, 053624 (2018)

    Article  ADS  Google Scholar 

  87. Budhaditya Chatterjee et al., New J. Phys. 21, 033030 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  88. J. Grond, J. Schmiedmayer, U. Hohenester, Phys. Rev. A 79, 021603(R) (2009)

    Article  ADS  Google Scholar 

  89. J. Grond, T. Betz, U. Hohenester, N.J. Mauser, J. Schmiedmayer, T. Schumm, New J. Phys. 13, 065026 (2011)

    Article  ADS  Google Scholar 

  90. L. Cao, S. Krönke, O. Vendrell, P. Schmelcher, J. Chem. Phys. 139, 134103 (2013)

    Article  ADS  Google Scholar 

  91. R. Schmitz, S. Krönke, L. Cao, P. Schmelcher, Phys. Rev. A 88, 043601 (2013)

    Article  ADS  Google Scholar 

  92. J.M. Schurer, A. Negretti, P. Schmelcher, New J. Phys. 17, 083024 (2015)

    Article  ADS  Google Scholar 

  93. A.U.J. Lode, B. Chakrabarti, V.K.B. Kota, Phys. Rev. A 92, 033622 (2015)

    Article  ADS  Google Scholar 

  94. A.U.J. Lode, C. Bruder, Phys. Rev. Lett. 118, 013603 (2017)

    Article  ADS  Google Scholar 

  95. C. Lévêque, L.B. Madsen, New J. Phys. 19, 043007 (2017)

    Article  ADS  Google Scholar 

  96. G.C. Katsimiga, S.I. Mistakidis, G.M. Koutentakis, P.G. Kevrekidis, P. Schmelcher, New J. Phys. 19, 123012 (2017)

    Article  ADS  Google Scholar 

  97. R. Roy, A. Gammal, M.C. Tsatsos, B. Chatterjee, B. Chakrabarti, A.U.J. Lode, Phys. Rev. A 97, 043625 (2018)

    Article  ADS  Google Scholar 

  98. R. Roy, C. Lévêque, A.U.J. Lode, A. Gammal, B. Chakrabarti, Quantum Rep. 1, 304 (2019)

    Article  Google Scholar 

  99. S. Bera, R. Roy, A. Gammal, B. Chakrabarti, B. Chatterjee, J. Phys. B 52, 21 (2019)

  100. J.H.V. Nguyen, M.C. Tsatsos, D. Luo, A.U.J. Lode, G.D. Telles, V.S. Bagnato, R.G. Hulet, Phys. Rev. X 9, 011052 (2019)

  101. A. Lode, C. Lévêque, L. Madsen, A. Streltsov, O.E. Alon, Rev. Mod. Phys. 92, 011001 (2020)

    Article  ADS  Google Scholar 

  102. P. Kramer, M. Saracento, Geometry of the Time-Dependent Variational Principle (Springer, Berlin, 1981)

    Book  Google Scholar 

  103. H.-J. Kull, D. Pfirsch, Phys. Rev. E 61, 5940 (2000)

    Article  ADS  Google Scholar 

  104. T. Macrì, F. Maucher, F. Cinti, T. Pohl, Phys. Rev. A 87, 061602(R) (2013)

    Article  ADS  Google Scholar 

  105. S. Bera, B. Chakrabarti, A. Gammal, M.C. Tsatsos, M.L. Lekala, B. Chatterjee, C. Lévêque, A.U.J. Lode, Sci. Rep. 9, 17873 (2019)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

R. Roy acknowledges the University Grant Commission (UGC), India, for the financial support as a senior research fellow. B. Chakrabarti acknowledges ICTP support where major portion of the work was done.

Author information

Authors and Affiliations

  1. Department of Physics, Presidency University, 86/1 College Street, Kolkata, 700073, India

    Rhombik Roy & Barnali Chakrabarti

  2. The Abdus Salam International Center for Theoretical Physics, 34100, Trieste, Italy

    Barnali Chakrabarti

  3. Department of Physics, University of Trieste, Strada Costiera 11, I-34151, Trieste, Italy

    Andrea Trombettoni

  4. CNR-IOM DEMOCRITOS Simulation Centre and SISSA, Via Bonomea 265, I-34136, Trieste, Italy

    Andrea Trombettoni

Authors
  1. Rhombik Roy
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Barnali Chakrabarti
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Andrea Trombettoni
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Barnali Chakrabarti.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Roy, R., Chakrabarti, B. & Trombettoni, A. Quantum dynamics of few dipolar bosons in a double-well potential. Eur. Phys. J. D 76, 24 (2022). https://doi.org/10.1140/epjd/s10053-022-00345-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epjd/s10053-022-00345-2

Search

Navigation