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  Emergence of coherence and the dynamics of quantum phase transitions

Braun, S., Friesdorf, M., Hodgman, S. S., Schreiber, M., Ronzheimer, J. P., Riera, A., et al. (2015). Emergence of coherence and the dynamics of quantum phase transitions. Proceedings of the National Academy of Sciences of the United States of America, PNAS, 112(12), 3641-3646. doi:10.1073/pnas.1408861112.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-BA2F-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0026-BA30-D
Genre: Journal Article

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 Creators:
Braun, S., Author
Friesdorf, M., Author
Hodgman, S. S., Author
Schreiber, M., Author
Ronzheimer, J. P., Author
Riera, A.1, Author
del Rey, M., Author
Bloch, I., Author
Eisert, J., Author
Schneider, U., Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, escidoc:24008              

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Free keywords: Condensed Matter, Quantum Gases, cond-mat.quant-gas, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech, Condensed Matter, Strongly Correlated Electrons, cond-mat.str-el,Quantum Physics, quant-ph
 Abstract: The dynamics of quantum phase transitions poses one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of coherence when crossing the Mott insulator to superfluid quantum phase transition. In the one-dimensional Bose-Hubbard model, we find perfect agreement between experimental observations and numerical simulations for the resulting coherence length. We thereby perform a largely certified analogue quantum simulation of this strongly correlated system reaching beyond the regime of free quasiparticles. Experimentally, we additionally explore the emergence of coherence in higher dimensions where no classical simulations are available, as well as for negative temperatures. For intermediate quench velocities, we observe a power-law behaviour of the coherence length, reminiscent of the Kibble-Zurek mechanism. However, we find exponents that strongly depend on the final interaction strength and thus lie outside the scope of this mechanism.

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 Dates: 2014-03-272015
 Publication Status: Published in print
 Pages: 5 pages, 4 figures + supplementary material
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1403.7199
DOI: 10.1073/pnas.1408861112
URI: http://arxiv.org/abs/1403.7199
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Title: Proceedings of the National Academy of Sciences of the United States of America, PNAS
Source Genre: Journal
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Pages: - Volume / Issue: 112 (12) Sequence Number: - Start / End Page: 3641 - 3646 Identifier: -