



01512nas a2200217   4500008004100000245007100041210006900112260001400181490000700195520085300202100002801055700002301083700001901106700001901125700002201144700002401166700002501190700002101215700002101236856003701257       2021                        eng d00aQuench Dynamics of a Fermi Gas with Strong Long-Range Interactions0 aQuench Dynamics of a Fermi Gas with Strong LongRange Interaction  c5/24/20210 v113 a<p>We induce strong non-local interactions in a 2D Fermi gas in an optical lattice using Rydberg dressing. The system is approximately described by a t&minus;V model on a square lattice where the fermions experience isotropic nearest-neighbor interactions and are free to hop only along one direction. We measure the interactions using many-body Ramsey interferometry and study the lifetime of the gas in the presence of tunneling, finding that tunneling does not reduce the lifetime. To probe the interplay of non-local interactions with tunneling, we investigate the short-time relaxation dynamics of charge density waves in the gas. We find that strong nearest-neighbor interactions slow down the relaxation. Our work opens the door for quantum simulations of systems with strong non-local interactions such as extended Fermi-Hubbard models.</p>1 aGuardado-Sanchez, Elmer1 aSpar, Benjamin, M.1 aSchauss, Peter1 aBelyansky, Ron1 aYoung, Jeremy, T.1 aBienias, Przemyslaw1 aGorshkov, Alexey, V.1 aIadecola, Thomas1 aBakr, Waseem, S.  uhttps://arxiv.org/abs/2010.0587101783nas a2200169   4500008004100000245010500041210006900146260001400215490000800229520122700237100002001464700002401484700001901508700002401527700002501551856003701576       2020                        eng d00aQuantum Simulation of Hyperbolic Space with Circuit Quantum Electrodynamics: From Graphs to Geometry0 aQuantum Simulation of Hyperbolic Space with Circuit Quantum Elec  c9/11/20200 v1023 a<p>We show how quantum many-body systems on hyperbolic lattices with nearest-neighbor hopping and local interactions can be mapped onto quantum field theories in continuous negatively curved space. The underlying lattices have recently been realized experimentally with superconducting resonators and therefore allow for a table-top quantum simulation of quantum physics in curved background. Our mapping provides a computational tool to determine observables of the discrete system even for large lattices, where exact diagonalization fails. As an application and proof of principle we quantitatively reproduce the ground state energy, spectral gap, and correlation functions of the noninteracting lattice system by means of analytic formulas on the Poincaré disk, and show how conformal symmetry emerges for large lattices. This sets the stage for studying interactions and disorder on hyperbolic graphs in the future. Our analysis also reveals in which sense discrete hyperbolic lattices emulate the continuous geometry of negatively curved space and thus can be used to resolve fundamental open problems at the interface of interacting many-body systems, quantum field theory in curved space, and quantum gravity.</p>1 aBoettcher, Igor1 aBienias, Przemyslaw1 aBelyansky, Ron1 aKollár, Alicia, J.1 aGorshkov, Alexey, V.  uhttps://arxiv.org/abs/1910.12318