Crossref journal-article
Proceedings of the National Academy of Sciences
Proceedings of the National Academy of Sciences (341)
Abstract

Significance Quantum phase transitions are characterized by a dramatic change of the ground-state behavior; famous examples include the appearance of magnetic order or superconductivity as a function of doping in cuprates. In this work, we explore how a system dynamically crosses such a transition and in particular, investigate in detail how coherence emerges when an initially incoherent Mott insulating system enters the superfluid regime. We present results from an experimental study using ultracold atoms in an optical lattice as well as numerical simulations and find a rich behavior beyond the scope of any existing theory. This quantum simulation of a complex many-body system is an important stepping stone for a deeper understanding of the intricate dynamics of quantum phase transitions.

Bibliography

Braun, S., Friesdorf, M., Hodgman, S. S., Schreiber, M., Ronzheimer, J. P., Riera, A., del Rey, M., Bloch, I., Eisert, J., & Schneider, U. (2015). Emergence of coherence and the dynamics of quantum phase transitions. Proceedings of the National Academy of Sciences, 112(12), 3641–3646.

Authors 10
  1. Simon Braun (first)
  2. Mathis Friesdorf (additional)
  3. Sean S. Hodgman (additional)
  4. Michael Schreiber (additional)
  5. Jens Philipp Ronzheimer (additional)
  6. Arnau Riera (additional)
  7. Marco del Rey (additional)
  8. Immanuel Bloch (additional)
  9. Jens Eisert (additional)
  10. Ulrich Schneider (additional)
References 55 Referenced 159
  1. S Sachdev Quantum Phase Transitions (Cambridge Univ Press, Cambridge, United Kingdom, 1999). / Quantum Phase Transitions by Sachdev S (1999)
  2. (2008) Focus issue on quantum phase transitions. Nat Phys 4(3):157–204.
  3. 10.1103/RevModPhys.83.863
  4. 10.1103/PhysRevLett.90.107202
  5. 10.1103/PhysRevB.40.546
  6. 10.1103/PhysRevLett.81.3108
  7. 10.1038/415039a
  8. 10.1103/RevModPhys.80.885
  9. 10.1038/nature10748
  10. 10.1103/PhysRevA.85.053625
  11. 10.1007/BF01645779
  12. 10.1080/00018732.2010.514702
  13. 10.1103/PhysRevB.86.064304
  14. 10.1103/PhysRevLett.97.200601
  15. 10.1103/PhysRevB.72.161201
  16. G Nikoghosyan R Nigmatullin MB Plenio Universality in the dynamics of second-order phase transitions. arXiv:1311.1543. (2013).
  17. 10.1103/PhysRevLett.109.015701
  18. 10.1103/PhysRevA.73.043614
  19. 10.1209/0295-5075/84/67008
  20. 10.1103/PhysRevLett.95.105701
  21. 10.1016/0370-1573(80)90091-5
  22. 10.1038/317505a0
  23. A del Campo WH Zurek Universality of phase transition dynamics: Topological defects from symmetry breaking. Int J Mod Phys A 29(08):1430018. (2014). (10.1142/S0217751X1430018X)
  24. 10.1126/science.1227831
  25. 10.1038/nphys1334
  26. 10.1103/PhysRevLett.106.235304
  27. 10.1126/science.1192368
  28. 10.1088/1367-2630/13/4/045011
  29. 10.1126/science.1217990
  30. 10.1038/nature05094
  31. 10.1103/PhysRevA.87.043606
  32. 10.1103/PhysRevA.85.033641
  33. 10.1103/PhysRevLett.106.125301
  34. 10.1016/j.aop.2010.09.012
  35. ML Wall LD Carr Open Source TEBD . Available at physics.mines.edu/downloads/software/tebd. Accessed December 2 2013. (2009).
  36. 10.1103/PhysRevLett.96.136801
  37. 10.1103/PhysRevLett.100.030602
  38. 10.1103/PhysRevLett.97.150404
  39. 10.1103/PhysRevLett.97.050401
  40. 10.1103/PhysRevA.78.033608
  41. 10.1088/1742-5468/2008/05/P05018
  42. 10.1103/PhysRevLett.65.1765
  43. 10.1103/PhysRevA.75.023603
  44. J Dziarmaga WH Zurek Quench in 1D Bose-Hubbard model: Topological defects and excitations from Kosterlitz-Thouless phase transition dynamics. Sci Rep 4:5950. (2014). (10.1038/srep05950)
  45. 10.1038/ncomms3290
  46. 10.1038/ncomms3291
  47. 10.1103/PhysRevLett.98.110402
  48. 10.1038/nphys2734
  49. 10.1103/PhysRevLett.95.040403
  50. 10.1103/PhysRevLett.105.220405
  51. 10.1103/PhysRevLett.108.215302
  52. 10.1103/PhysRevLett.101.050402
  53. 10.1103/PhysRevLett.102.030408
  54. 10.1103/PhysRevLett.101.155303
  55. 10.1103/PhysRevA.78.013627
Dates
Type When
Created 10 years, 5 months ago (March 9, 2015, 10:42 p.m.)
Deposited 3 years, 4 months ago (April 12, 2022, 11 p.m.)
Indexed 6 days, 4 hours ago (Aug. 23, 2025, 9:52 p.m.)
Issued 10 years, 5 months ago (March 9, 2015)
Published 10 years, 5 months ago (March 9, 2015)
Published Online 10 years, 5 months ago (March 9, 2015)
Published Print 10 years, 5 months ago (March 24, 2015)
Funders 0

None

@article{Braun_2015, title={Emergence of coherence and the dynamics of quantum phase transitions}, volume={112}, ISSN={1091-6490}, url={http://dx.doi.org/10.1073/pnas.1408861112}, DOI={10.1073/pnas.1408861112}, number={12}, journal={Proceedings of the National Academy of Sciences}, publisher={Proceedings of the National Academy of Sciences}, author={Braun, Simon and Friesdorf, Mathis and Hodgman, Sean S. and Schreiber, Michael and Ronzheimer, Jens Philipp and Riera, Arnau and del Rey, Marco and Bloch, Immanuel and Eisert, Jens and Schneider, Ulrich}, year={2015}, month=mar, pages={3641–3646} }