Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps

Year: 2021

Authors: Barfknecht R.E., Mendes-Santos T., Fallani L.

Autors Affiliation: INO-CNR Istituto Nazionale di Ottica Del CNR, Sezione di Sesto Fiorentino, Sesto Fiorentino, 50019, Italy; LENS, European Laboratory for Non-Linear Spectroscopy, Sesto Fiorentino, 50019, Italy; Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, Trieste, 34151, Italy; Department of Physics and Astronomy, University of Florence, Sesto Fiorentino, 50019, Italy

Abstract: We present a proposal for the realization of entanglement Hamiltonians in one-dimensional critical spin systems with strongly interacting cold atoms. Our approach is based on the notion that the entanglement spectrum of such systems can be realized with a physical Hamiltonian containing a set of position-dependent couplings. We focus on reproducing the universal ratios of the entanglement spectrum for systems in two different geometries: a harmonic trap, which corresponds to a partition embedded in an infinite system, and a linear potential, which reproduces the properties of a half partition with open boundary conditions. Our results demonstrate the possibility of measuring the entanglement spectra of the Heisenberg and XX models in a realistic cold-atom experimental setting by simply using gravity and standard trapping techniques.


Volume: 3 (1)      Pages from: 013112-1  to: 013112-10

More Information: The authors thank Marcello Dalmonte for discussing the project and for valuable comments on the manuscript. Jacopo Catani is acknowledged for important remarks on the experimental feasibility of the proposal. We acknowledge support from the European Research Council (ERC Consolidator Grant TOPSIM, Grant Agreement No. 682629), European QuantERA ERA-NET Cofund in Quantum Technologies (Project QTFLAG, Grant Agreement No. 731473), Ministero dell´Istruzione, dell´Universita e della Ricerca (MIUR Project FARE TOPSPACE R16SPCCRCW, and MIUR PRIN Project No. 2017E44HRF). The DMRG calculations shown in this paper were performed using the ITensor library [76].
KeyWords: ultracold atoms; quantum simulations; duality condiction; gas; fermions
DOI: 10.1103/PhysRevResearch.3.013112