Probing the conformal Calabrese-Cardy scaling with cold atoms

J Unmuth-Yockey; Jin Zhang; P. M Preiss; Li-Ping Yang; S. -W Tsai; Y Meurice

doi:10.1103/PhysRevA.96.023603

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Probing the conformal Calabrese-Cardy scaling with cold atoms

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Probing the conformal Calabrese-Cardy scaling with cold atoms

J Unmuth-Yockey, Jin Zhang, P. M Preiss, Li-Ping Yang, S. -W Tsai and Y Meurice

Physical review. A, Vol.96(2), 023603

11/15/2016

DOI: 10.1103/PhysRevA.96.023603

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Abstract

Phys. Rev. A 96, 023603 (2017) We demonstrate that current experiments using cold bosonic atoms trapped in one-dimensional optical lattices and designed to measure the second-order Renyi entanglement entropy S_2, can be used to verify detailed predictions of conformal field theory (CFT) and estimate the central charge c. We discuss the adiabatic preparation of the ground state at half-filling where we expect a CFT with c=1. This can be accomplished with a very small hoping parameter J, in contrast to existing studies with density one where a much larger J is needed. We provide two complementary methods to estimate and subtract the classical entropy generated by the experimental preparation and imaging processes. We compare numerical calculations for the classical O(2) model with a chemical potential on a 1+1 dimensional lattice, and the quantum Bose-Hubbard Hamiltonian implemented in the experiments. S_2 is very similar for the two models and follows closely the Calabrese-Cardy scaling, (c/8)\ln(N_s), for N_s sites with open boundary conditions, provided that the large subleading corrections are taken into account.

Details

Title: Subtitle: Probing the conformal Calabrese-Cardy scaling with cold atoms
Creators: J Unmuth-Yockey
Jin Zhang
P. M Preiss
Li-Ping Yang
S. -W Tsai
Y Meurice
Resource Type: Journal article
Publication Details: Physical review. A, Vol.96(2), 023603
DOI: 10.1103/PhysRevA.96.023603
ISSN: 2469-9926
eISSN: 2469-9934
Grant note: DOI: 10.13039/100000015, name: U.S. Department of Energy, award: DE-FG02-05ER41368, DE-SC0010114, DE-FG02-91ER40664; DOI: 10.13039/100000001, name: National Science Foundation, award: DMR-1411345; DOI: 10.13039/100000183, name: Army Research Office, award: W911NF-13-1-0119; DOI: 10.13039/501100001809, name: National Natural Science Foundation of China, award: 11304404; DOI: 10.13039/501100007601, name: Horizon 2020, award: 706487; DOI: 10.13039/501100005713, name: Technische Universität München
Language: English
Date published: 11/15/2016
Academic Unit: Physics and Astronomy
Record Identifier: 9984199948902771

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