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Over the last years the exciting developments in the field of ultracold atoms confined in optical lattices have led to numerous theoretical proposals devoted to the quantum simulation of problems e.g. known from condensed matter physics.…

Quantum Gases · Physics 2010-07-01 C. Becker , P. Soltan-Panahi , J. Kronjäger , S. Dörscher , K. Bongs , K. Sengstock

In an array of coupled cavities where the cavities are doped with an atomic V-system, and the two excited levels couple to cavity photons of different polarizations, we show how to construct various spin models employed in characterizing…

Quantum Physics · Physics 2009-11-13 Alastair Kay , Dimitris G. Angelakis

We load atoms into every site of an optical lattice and selectively spin flip atoms in a sublattice consisting of every other site. These selected atoms are separated from their unselected neighbors by less than an optical wavelength. We…

Quantum Physics · Physics 2007-08-15 P. J. Lee , M. Anderlini , B. L. Brown , J. Sebby-Strabley , W. D. Phillips , J. V. Porto

A unified model of molecular and atomistic spin dynamics is presented enabling simulations both in microcanonical and canonical ensembles without the necessity of additional phenomenological spin damping. Transfer of energy and angular…

We review recent suggestions to quantum simulate scalar electrodynamics (the lattice Abelian Higgs model) in $1+1$ dimensions with rectangular arrays of Rydberg atoms. We show that platforms made publicly available recently allow empirical…

High Energy Physics - Lattice · Physics 2023-12-29 Yannick Meurice , James Corona , Sergio Cantu , Fangli Liu , Shengtao Wang , Kenny Heitritter , Steve Mrenna , Jin Zhang , Shan-Wen Tsai

Classical simulations of high-temperature nuclear spin dynamics in solids are known to accurately predict relaxation for spin 1/2 lattices with a large number of interacting neighbors. Once the number of interacting neighbors becomes four…

Strongly Correlated Electrons · Physics 2019-02-20 Patrick Navez , Grigory A. Starkov , Boris V. Fine

Presented are several example quantum computing representations of quantum systems with a relativistic energy relation. Basic unitary representations of free Dirac particles and BCS superconductivity are given. Then, these are combined into…

Quantum Physics · Physics 2013-07-16 Jeffrey Yepez

Quantum simulations of High Energy Physics, and especially of gauge theories, is an emerging and exciting direction in quantum simulations. However, simulations of such theories, compared to simulations of condensed matter physics, must…

Quantum Physics · Physics 2013-08-29 Erez Zohar , J. Ignacio Cirac , Benni Reznik

We present an algorithm to simulate two-dimensional quantum lattice systems in the thermodynamic limit. Our approach builds on the {\em projected entangled-pair state} algorithm for finite lattice systems [F. Verstraete and J.I. Cirac,…

Strongly Correlated Electrons · Physics 2009-11-13 J. Jordan , R. Orus , G. Vidal , F. Verstraete , J. I. Cirac

The Hubbard model is one of the primary models for understanding the essential many-body physics in condensed matter systems such as Mott insulators and cuprate high-Tc superconductors. Recent advances in atomically precise fabrication in…

Simulating many-body quantum systems poses significant challenges due to the large size of the state space. To address this issue, we propose using an SU(2) coherent state for individual spins to simulate spins on a lattice and derive…

Quantum Physics · Physics 2025-02-14 Grace Hsiao-Han Chuang , Abhijit Pendse

The isolation and control of disparate degrees of freedom underpin quantum simulators. We advance the programmability of cold atom quantum simulators with a first realization of the dynamic interplay of spatial and spin degrees of freedom.…

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean…

High Energy Physics - Theory · Physics 2016-08-25 R. Brower , S. Chandrasekharan , U. -J. Wiese

Over the recent years, the relatively young field of quantum simulation of lattice gauge theories - aiming at implementing simulators of gauge theories with quantum platforms, has gone through a rapid development process. It is now of…

Quantum Physics · Physics 2022-01-12 Erez Zohar

We study a scheme of quantum simulator for two-dimensional xy-model Hamiltonian. Previously the quantum simulator for a coupled cavity array spin model has been explored, but the coupling strength is fixed by the system parameters. In the…

Quantum Physics · Physics 2019-01-15 Mun Dae Kim

An experiment demonstrating the quantum simulation of a spin-lattice Hamiltonian is proposed. Dipolar interactions between nuclear spins in a solid state lattice can be modulated by rapid radio-frequency pulses. In this way, the effective…

Quantum Physics · Physics 2007-05-23 Georgios Roumpos , Cyrus P. Master , Yoshihisa Yamamoto

A major challenge in the burgeoning field of quantum simulation for high-energy physics is the realization of scalable $2+1$D lattice gauge theories on state-of-the-art quantum hardware, which is an essential step towards the overarching…

Encoding a dimension in the internal degree of freedom of an atom provides an interesting tool for quantum simulation, facilitating the realization of artificial gauge fields. We propose an extension of the synthetic dimension toolbox,…

A lattice quantum gravity model in 4 dimensional Riemannian spacetime is constructed based on the SU(2) Ashtekar formulation of general relativity. This model can be understood as one of the family of models sometimes called ``spin foam…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Junichi Iwasaki

Quantum simulators have the exciting prospect of giving access to real-time dynamics of lattice gauge theories, in particular in regimes that are difficult to compute on classical computers. Future progress towards scalable quantum…

Quantum Gases · Physics 2018-08-21 T. V. Zache , F. Hebenstreit , F. Jendrzejewski , M. K. Oberthaler , J. Berges , P. Hauke
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