Jul 17 – 22, 2022
Royal Conservatory of Music, Toronto
America/Toronto timezone

Self-pinning transition in a mixture of two non-identical Luttinger Liquids

Jul 19, 2022, 5:00 PM
1h 30m
Hart House (Hart House)

Hart House

Hart House

7 Hart House Cir, Toronto, ON M5S 3H3
Poster presentation Degenerate gases, many-body physics, and quantum simulation Poster session


The pinning quantum phase transition can be observed in both weakly interacting quantum many-body systems described by a 1D Bose-Hubbard model and strongly interacting 1D systems modelled by Luttinger liquid theory. In both these cases an ultra-cold quantum gas can be driven to Mott-insulating state by imposing an infinitesimal small external lattice potential [1]

Recently an analogue to this transition was found for a Tonks-Girardeau gas that is immersed in a Bose-Einstein condensate, which corresponds to a situation of self-pinning state without imposing any external lattice potential [2].

Based on these studies, I present our work on this phase transition by studying a mixture two non-identical Luttinger liquids, whose physical properties can be adjusted from being weakly to strongly correlated. In addition the system allows one to tune the interaction between the components, which therefore gives access to the full phase diagram of the two-component gas. While we are particularly interested in the behaviour of the phase transition as a function of correlations, I will also point out the implications for these systems to act as phonon-carrying matter wave lattices.

[1] E. Haller, R. Hart, M. J. Mark, J. G. Danzl, L. Reichsöllner, M. Gustavsson, M. Dalmonte, G. Pupillo, and H.-C. Nägerl, Pinning quantum phase transition for a Luttinger liquid of strongly interacting bosons, Nature (London) 466, 597 (2010)
[2] T. Keller, T. Fogarty and T. Busch, Self-Pinning Transition of a Tonks-Girardeau Gas in a Bose-Einstein Condensate, Phys. Rev. Lett., 128, 053401 (2022)

Presenter name Serhan Seyyare Aksu
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Primary authors

Mr Tim Keller (Okinawa Institute of Science and Technology Graduate University (OIST)) Dr Serhan Seyyare Aksu (Okinawa Institute of Science and Technology Graduate University (OIST)) Dr Thomas Fogarty (Okinawa Institute of Science and Technology Graduate University (OIST)) Prof. Thomas Busch (Okinawa Institute of Science and Technology Graduate University (OIST))

Presentation materials

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