Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/104624
Title: Scaling behavior of Tan's contact for trapped Lieb-Liniger bosons : from two to many
Authors: Rizzi, Matteo
Miniatura, Christian
Minguzzi, Anna
Vignolo, Patrizia
Keywords: Scaling Behavior
DRNTU::Science::Physics
Lieb-Liniger Bosons
Issue Date: 2018
Source: Rizzi, M., Miniatura, C., Minguzzi, A., & Vignolo, P. (2018). Scaling behavior of Tan's contact for trapped Lieb-Liniger bosons : from two to many. Physical Review A, 98(4), 043607-. doi:10.1103/PhysRevA.98.043607
Series/Report no.: Physical Review A
Abstract: We show that the contact parameter of N harmonically trapped interacting one-dimensional bosons at zero temperature can be analytically and accurately obtained by a simple rescaling of the exact two-boson solution, and that N-body effects can be almost factorized. The small deviations observed between our analytical results and density matrix renormalization group (DMRG) calculations are more pronounced when the interaction energy is maximal (i.e., at intermediate interaction strengths) but they remain bounded by the large-N local-density approximation obtained from the Lieb-Liniger equation of state stemming from the Bethe ansatz. The rescaled two-body solution is so close to the exact ones, that is possible, within a simple expression interpolating the rescaled two-boson result to the local density, to obtain N-boson contact and ground-state energy functions in very good agreement with DMRG calculations. Our results suggest a change of paradigm in the study of interacting quantum systems, giving to the contact parameter a more fundamental role than energy.
URI: https://hdl.handle.net/10356/104624
http://hdl.handle.net/10220/47398
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.98.043607
Rights: © 2018 American Physical Society (APS). All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society (APS).
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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