Abstract
Ultracold bosonic atoms trapped in a two-leg ladder pierced by a magnetic field provide a minimal and quasi-one-dimensional instance to study the interplay between orbital magnetism and interactions. Using time-dependent matrix-product-state simulations, we investigate the properties of the so-called 'Meissner' and 'vortex' phases which appear in such a system, focusing on the experimentally accessible observables. We discuss how to experimentally monitor the phase transition, and show that the response to the modulation of the density imbalance between the two legs of the ladder is qualitatively different in the two phases. We argue that this technique can be used as a tool for many-body spectroscopy, allowing us to quantitatively measure the spin gap in the Meissner phase. We finally discuss its experimental implementation.
Original language | English |
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Article number | 015004 |
Journal | New Journal of Physics |
Volume | 20 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2018 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2018 The Author(s). Published by IOP Publishing Ltd on behalf of Deutsche Physikalische Gesellschaft.
Funding
We thank J Beugnon, M Bosch, Aguilera, R Bouganne, S De Palo and R Fazio for fruitful discussions. We are also grateful to D Rossini for providing the MPS code and for support. L M was supported by LabEX ENS-ICFP: ANR-10-LABX-0010/ANR-10-IDEX-0001-02 PSL*. This work was granted access to the HPC resources of MesoPSL financed by the Region Ile de France and the project Equip@Meso (reference ANR-10-EQPX-29-01) of the program Investissements d’Avenir supervised by the Agence Nationale pour la Recherche. We also acknowledge the CINECA award under the ISCRA initiative, for the availability of high performance computing resources and support.
Funders | Funder number |
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Labex | ANR-10-IDEX-0001-02 PSL*, ANR-10-LABX-0010 |
Agence Nationale pour le Développement de la Recherche en Santé | |
Cancéropôle Ile de France | ANR-10-EQPX-29-01 |
Keywords
- Meissner and vortex phases
- flux ladders
- matrix-product states
- synthetic gauge fields