Skip to main content
SpringerLink
Log in

Relaxation dynamics of two coherently coupled one-dimensional bosonic gases

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

    We’re sorry, something doesn't seem to be working properly.

    Please try refreshing the page. If that doesn't work, please contact support so we can address the problem.

Abstract

In this work we consider the non-equilibrium dynamics of two tunnel coupled bosonic gases which are created from the coherent splitting of a one-dimensional gas. The consequences of the tunneling both in the non-stationary regime as well as at large time are investigated and compared with equilibrium results. In particular, within a semiclassical approximation, we compute correlation functions for the relative phase which are experimentally measurable and we observe a transient regime displaying oscillations as a function of the distance. The steady regime is very well approximated by a thermal state with a temperature independent of the tunneling strength.

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

Similar content being viewed by others

References

  1. E. Altman, Lecture Notes of the 2012 Les Houches Summer School of Physics “Strongly Interacting Quantum Systems Out of Equilibrium”, arXiv:1512.00870 (2015)

  2. B. Rauer, T. Schweigler, T. Langen, J. Schmiedmayer, Proc. Int. Sch. Phys. Enrico Fermi. 191, 485 (2016)

    Google Scholar 

  3. A. Polkovnikov, K. Sengupta, A. Silva, M. Vengalattore, Rev. Mod. Phys. 83, 863 (2011)

    Article  ADS  Google Scholar 

  4. I. Bloch, J. Dalibard, W. Zwerger, Rev. Mod. Phys. 80, 885 (2008)

    Article  ADS  Google Scholar 

  5. T. Langen, R. Geiger, J. Schmiedmayer, Annu. Rev. Condens. Matter Phys. 6, 201 (2014)

    Article  ADS  Google Scholar 

  6. M. Greiner, O. Mandel, T.W. Hänsch, I. Bloch, Nature 419, 51 (2002)

    Article  ADS  Google Scholar 

  7. T. Kinoshita, T. Wenger, D.S. Weiss, Nature 440, 900 (2006)

    Article  ADS  Google Scholar 

  8. M. Gring, M. Kuhnert, T. Langen, T. Kitagawa, B. Rauer, M. Schreitl, I. Mazets, D.A. Smith, E. Demler, J. Schmiedmayer, Science 337, 1318 (2012)

    Article  ADS  Google Scholar 

  9. T. Langen, S. Erne, R. Geiger, B. Rauer, T. Schweigler, M. Kuhnert, W. Rohringer, I.E. Mazets, T. Gasenzer, J. Schmiedmayer, Science 348, 207 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  10. M. Schreiber, S.S. Hodgman, P. Bordia, H.P. Lüschen, M.H. Fischer, R. Vosk, E. Altman, U. Schneider, I. Bloch, Science 349, 842 (2015)

    Article  ADS  MathSciNet  Google Scholar 

  11. M. Srednicki, Phys. Rev. E 50, 888 (1994)

    Article  ADS  Google Scholar 

  12. L. Vidmar, M. Rigol, J. Stat. Mech.: Theory Exp. 2016, 064007 (2016)

    Article  Google Scholar 

  13. P. Calabrese, F.H. Essler, M. Fagotti, Phys. Rev. Lett. 106, 227203 (2011)

    Article  ADS  Google Scholar 

  14. E. Ilievski, J. De Nardis, B. Wouters, J.-S. Caux, F.H. Essler, T. Prosen, Phys. Rev. Lett. 115, 157201 (2015)

    Article  ADS  Google Scholar 

  15. J.-S. Caux, R.M. Konik, Phys. Rev. Lett. 109, 175301 (2012)

    Article  ADS  Google Scholar 

  16. M.A. Cazalilla, A. Iucci, M.-C. Chung, Phys. Rev. E 85, 011133 (2012)

    Article  ADS  Google Scholar 

  17. G. Mussardo, Phys. Rev. Lett. 111, 100401 (2013)

    Article  ADS  Google Scholar 

  18. J. Berges, S. Borsányi, C. Wetterich, Phys. Rev. Lett. 93, 142002 (2004)

    Article  ADS  Google Scholar 

  19. A. Mitra, T. Giamarchi, Phys. Rev. Lett. 107, 150602 (2011)

    Article  ADS  Google Scholar 

  20. T. Kitagawa, A. Imambekov, J. Schmiedmayer, E. Demler, New J. Phys. 13, 073018 (2011)

    Article  ADS  Google Scholar 

  21. D.A. Smith, M. Gring, T. Langen, M. Kuhnert, B. Rauer, R. Geiger, T. Kitagawa, I. Mazets, E. Demler, J. Schmiedmayer, New J. Phys. 15, 075011 (2013)

    Article  Google Scholar 

  22. T. Langen, R. Geiger, M. Kuhnert, B. Rauer, J. Schmiedmayer, Nat. Phys. 9, 607 (2013)

    Article  Google Scholar 

  23. T. Langen, T. Gasenzer, J. Schmiedmayer, J. Stat. Mech. 064009 (2016)

  24. A.A. Burkov, M.D. Lukin, E. Demler, Phys. Rev. Lett. 98, 200404 (2007)

    Article  ADS  Google Scholar 

  25. L. Foini, T. Giamarchi, Phys. Rev. A 91, 023627 (2015)

    Article  ADS  Google Scholar 

  26. T. Giamarchi, Quantum physics in one dimension (Oxford University Press, 2003)

  27. L.F. Cugliandolo, J. Phys. A: Math. Theor. 44, 483001 (2011)

    Article  MathSciNet  Google Scholar 

  28. M. Knap, A. Kantian, T. Giamarchi, I. Bloch, M.D. Lukin, E. Demler, Phys. Rev. Lett. 111, 147205 (2013)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  30. A. Kamenev, Field theory of non-equilibrium systems (Cambridge University Press, 2011)

  31. P. Calabrese, J. Cardy, J. Stat. Mech.: Theory and Exp. 2007, P06008 (2007)

    Google Scholar 

  32. S. Sotiriadis, J. Cardy, Phys. Rev. B 81, 134305 (2010)

    Article  ADS  Google Scholar 

  33. S. Hofferberth, I. Lesanovsky, B. Fischer, T. Schumm, J. Schmiedmayer, Nature 449, 324 (2007)

    Article  ADS  Google Scholar 

  34. L. Foini, A. Gambassi, R. Konik, L.F. Cugliandolo, arXiv:1610.00101 (2016)

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Physique Statistique (UMR 8550 CNRS), École Normale Supérieure, 75005, Paris, France

    L. Foini

  2. Department of Quantum Matter Physics, University of Geneva, 24 Quai Ernest-Ansermet, CH-1211, Geneva, Switzerland

    T. Giamarchi

Authors
  1. L. Foini
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. T. Giamarchi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to L. Foini.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Foini, L., Giamarchi, T. Relaxation dynamics of two coherently coupled one-dimensional bosonic gases. Eur. Phys. J. Spec. Top. 226, 2763–2774 (2017). https://doi.org/10.1140/epjst/e2016-60383-x

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2016-60383-x

Search

Navigation