Dimensional confinement and Yang-Baxter integrability in cold-atom systems via optical lattices

6th International Symposium on Quantum Theory and Symmetries

Bolech, C.J.^1,3 ; Kakashvili, P.^2,3

Department of Physics, University of Cincinnati, OH 45221-0011, United States^1

Nordic Institute for Theoretical Physics (NORDITA), 106 91 Stockholm, Sweden^2

Physics and Astronomy Department, Rice University, Houston, TX 77005, United States^3

关键词: Attractive interactions;    Contact interaction;    Feshbach resonances;    Interatomic interactions;    Spatially modulated;    Spin-charge separation;    Superconducting state;    Two-dimensional optical lattices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/462/1/012004/pdf
DOI  :  10.1088/1742-6596/462/1/012004

来源: IOP

【 摘 要 】

Using two-dimensional optical lattices, it has recently become possible to split up clouds of ultra cold atoms into collections of parallel one-dimensional tubes in which the dynamics is restricted to the direction along their axis. Since the Feshbach-resonance interactions among atoms are short ranged, they can be approximated as contact interactions. It is thus possible to realize optical-trap versions of some classic integrable systems first studied by Lieb, Gaudin, Yang and others. Such systems can display exotic physics like spin-charge separation and unusual paired states. We focus on the study of systems of fermions in one-dimension. At finite temperatures, regimes such as the spin-coherent and the spin-incoherent Luttinger liquids can be realized by tuning the inter-atomic interaction strength and trap parameters. We identify the noise correlation of density fluctuations as a robust observable to discriminate between these two regimes. We also address the effects of spin imbalance for the case of attractive interactions, and study the one-dimensional analog of spatially modulated (FFLO) superconducting states. Our focus is on how the temperature affects the density profiles that are being measured in the experiments. The theoretical study of temperature effects in these systems is of experimental relevance for the problem of thermometry.