Dresden 2017 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 20: Poster Session: Correlated Electrons 2

TT 20.16: Poster

Monday, March 20, 2017, 15:00–19:00, P2-OG1

Higher-order local and non-local correlations for 1D strongly interacting Bose gas — EJKP Nandani^1,2,3, •Rudolf A Römer⁴, Shina Tan^5,6, and Xi-Wen Guan^1,7 — ¹Wuhan Institute of Physics and Mathematics, CAS, Wuhan 430071, China — ²Chinese Academy of Sciences, Beijing, China — ³University of Ruhuna, Matara, Sri Lanka — ⁴University of Warwick, Coventry CV4 7AL, UK — ⁵Georgia Institute of Technology, Atlanta, GA, USA — ⁶Center for Cold Atom Physics, Wuhan, China — ⁷Australian National University, Canberra ACT 0200, AUS

The correlation function is an important quantity in the physics of ultracold quantum gases because it provides information about the quantum many-body wave function beyond the simple density profile. In this paper we first study the M-body local correlation functions of the one-dimensional (1D) strongly repulsive Bose gas within the Lieb-Liniger model using the analytical method proposed by Gangardt and Shlyapnikov (2003 Phys. Rev. Lett. 90 010401; 2003 New J. Phys. 5 79). In the strong repulsion regime the 1D Bose gas at low temperatures is equivalent to a gas of ideal particles obeying the non-mutual generalized exclusion statistics with a statistical parameter α =1−2/γ. Here γ is the dimensionless interaction strength within the Lieb-Liniger model. We rigorously prove that such a statistical parameter solely determines the sub-leading order contribution to the M-body local correlation function of the gas at strong but finite interaction strengths. We explicitly calculate the correlation functions at zero, low, and intermediate temperatures.