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We demonstrate how to build a simulation of two dimensional physical theories describing topologically ordered systems whose excitations are in one to one correspondence with irreducible representations of a Hopf algebra, D(G), the quantum…

Quantum Physics · Physics 2009-05-25 G. K. Brennen , M. Aguado , J. I. Cirac

The exploration of phase diagrams of strongly interacting gauge theories coupled to matter in lower dimensions promises the identification of exotic phases and possible new universality classes, and it facilitates a better understanding of…

Strongly Correlated Electrons · Physics 2022-08-17 Tomohiro Hashizume , Jad C. Halimeh , Philipp Hauke , Debasish Banerjee

We propose a scheme for constructing versatile quantum simulators using ultracold Rydberg atoms in long-lived circular and elliptical states. By exciting different subspaces of internal atomic states, the atoms can be used to simulate two…

Quantum Physics · Physics 2025-03-31 Jacek Dobrzyniecki , Paula Heim , Michał Tomza

After many years of development of the basic tools, quantum simulation with ultracold atoms has now reached the level of maturity where it can be used to investigate complex quantum processes. Planning of new experiments and upgrading…

Quantum Gases · Physics 2020-07-13 Florian Schäfer , Takeshi Fukuhara , Seiji Sugawa , Yosuke Takasu , Yoshiro Takahashi

The production of molecules from dual species atomic quantum gases has enabled experiments that employ molecules at nanoKelvin temperatures. As a result, every degree of freedom of these molecules is in a well-defined quantum state and…

Quantum Gases · Physics 2018-04-27 Jacob P. Covey , Steven A. Moses , Jun Ye , Deborah S. Jin

In quantum mechanical many-body systems, long-range and anisotropic interactions promote rich spatial structure and can lead to quantum frustration, giving rise to a wealth of complex, strongly correlated quantum phases. Long-range…

Quantum link models provide an extension of Wilson's lattice gauge theory in which the link Hilbert space is finite-dimensional and corresponds to a representation of an embedding algebra. In contrast to Wilson's parallel transporters,…

High Energy Physics - Lattice · Physics 2022-01-12 Uwe-Jens Wiese

Gauge theories appear broadly in physics, ranging from the standard model of particle physics to long-wavelength descriptions of topological systems in condensed matter. However, systems with sign problems are largely inaccessible to…

Quantum Physics · Physics 2020-09-24 Di Luo , Jiayu Shen , Michael Highman , Bryan K. Clark , Brian DeMarco , Aida X. El-Khadra , Bryce Gadway

We propose that negative absolute temperatures in ultracold atomic clouds in optical lattices can be used to simulate quantum systems in new regions of phase diagrams. First we discuss how the attractive SU(3) Hubbard model in three…

Quantum Gases · Physics 2012-04-19 Akos Rapp

We propose an effective Ising spin chain constructed with dipolar quantum gases confined in a one-dimensional optical superlattice. Mapping the motional degrees of freedom of a single particle in the lattice onto a pseudo-spin results in…

Quantum Gases · Physics 2014-11-18 Xiangguo Yin , Lushuai Cao , Peter Schmelcher

In the last decade, quantum simulators, and in particular cold atoms in optical lattices, have emerged as a valuable tool to study strongly correlated quantum matter. These experiments are now reaching regimes that are numerically difficult…

Quantum Gases · Physics 2022-01-05 Annabelle Bohrdt , Lukas Homeier , Christian Reinmoser , Eugene Demler , Fabian Grusdt

We present an architecture for the quantum simulation of many-body spin interactions based on ultracold polar molecules trapped in optical lattices. Our approach employs digital quantum simulation, i.e., the dynamics of the simulated system…

Quantum Gases · Physics 2015-02-20 Hendrik Weimer

Cold atoms in optical lattices is the application of two formerly distinct aspects of physics: quantum gases from atomic physics and laser theory from quantum optics. Its use to simulate quantum phenomena and models in condensed matter…

Quantum Physics · Physics 2013-06-06 Godfrey E. Akpojotor

We propose a scheme for digital quantum simulation of lattice gauge theories with dynamical fermions. Using a layered optical lattice with ancilla atoms that can move and interact with the other atoms (simulating the physical degrees of…

Quantum Physics · Physics 2017-02-21 Erez Zohar , Alessandro Farace , Benni Reznik , J. Ignacio Cirac

We revisit the quantum lattice gas model of a spinor quantum field theory-the smallest scale particle dynamics is partitioned into unitary collide and stream operations. The construction is covariant (on all scales down to a small length…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Jeffrey Yepez

Quantum link models (QLMs) are extensions of Wilson-type lattice gauge theories, and show rich physics beyond the phenomena of conventional Wilson gauge theories. Here we explore the physics of $U(1)$ symmetric QLMs, both using a more…

High Energy Physics - Lattice · Physics 2022-09-21 Debasish Banerjee , Emilie Huffman , Lukas Rammelmüller

In the present work, we propose a scheme for digital formulation of lattice gauge theories with dynamical fermions in 3+1 dimensions. All interactions are obtained as a stroboscopic sequence of two-body interactions with an auxiliary…

Quantum Physics · Physics 2018-10-25 Julian Bender , Erez Zohar , Alessandro Farace , J. Ignacio Cirac

The lattice compact Abelian Higgs model is a non-perturbative regularized formulation of low-energy scalar quantum electrodynamics. In 1+1 dimensions, this model can be quantum simulated using a ladder-shaped optical lattice with…

Quantum Physics · Physics 2021-12-01 Yannick Meurice

We review recent developments in the physics of ultracold atomic and molecular gases in optical lattices. Such systems are nearly perfect realisations of various kinds of Hubbard models, and as such may very well serve to mimic condensed…

Other Condensed Matter · Physics 2007-06-13 Maciej Lewenstein , Anna Sanpera , Veronica Ahufinger , Bogdan Damski , Aditi Sen De , Ujjwal Sen

In condensed matter, it is often difficult to untangle the effects of competing interactions, and this is especially problematic for superconductors. Quantum simulators may help: here we show how exploiting the properties of highly excited…

Superconductivity · Physics 2012-11-30 J. P. Hague , C. MacCormick