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The Rydberg blockade mechanism is an important ingredient in quantum simulators based on neutral atom arrays. It enables the emergence of a rich variety of quantum phases of matter, such as topological spin liquids. The typically isotropic…

Quantum Physics · Physics 2025-01-15 Zhongda Zeng , Giuliano Giudici , Hannes Pichler

We propose an optical lattice setup to investigate spin chains and ladders. Electric and magnetic fields allow us to vary at will the coupling constants, producing a variety of quantum phases including the Haldane phase, critical phases,…

Strongly Correlated Electrons · Physics 2007-05-23 J. J. Garcia-Ripoll , M. A. Martin-Delgado , J. I. Cirac

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

Simulating the real-time dynamics of lattice gauge theories, underlying the Standard Model of particle physics, is a notoriously difficult problem where quantum simulators can provide a practical advantage over classical approaches. In this…

Quantum Physics · Physics 2023-10-18 Torsten V. Zache , Daniel González-Cuadra , Peter Zoller

We develop a hybrid qubit-qumode framework for simulating quantum electrodynamics in 2+1 dimensions. In this approach, fermionic matter fields are represented by qubits, while U(1) gauge fields are encoded in continuous-variable bosonic…

Quantum Physics · Physics 2025-11-27 Victor Ale , Tommaso Rainaldi , Enrique Rico , Felix Ringer , George Siopsis

To date, all proposed quantum algorithms for simulating quantum field theory (QFT) simulate (continuous-time) Hamiltonian lattice QFT as a stepping stone. Two overlooked issues are how large we can take the timestep in these simulations…

Quantum Physics · Physics 2020-07-27 Terry Farrelly , Julien Streich

Quantum lattice models with large local Hilbert spaces emerge across various fields in quantum many-body physics. Problems such as the interplay between fermions and phonons, the BCS-BEC crossover of interacting bosons, or decoherence in…

Strongly Correlated Electrons · Physics 2021-04-26 Thomas Köhler , Jan Stolpp , Sebastian Paeckel

Quantum simulators could provide an alternative to numerical simulations for understanding minimal models of condensed matter systems in a controlled way. Typically, cold atom systems are used to simulate e.g. Hubbard models. In this paper,…

Strongly Correlated Electrons · Physics 2014-03-25 J. P. Hague , S. Downes , C. MacCormick , P. E. Kornilovitch

Quantum many-body systems exhibit an extremely diverse range of phases and physical phenomena. Here, we prove that the entire physics of any other quantum many-body system is replicated in certain simple, "universal" spin-lattice models. We…

Quantum Physics · Physics 2019-10-07 Toby Cubitt , Ashley Montanaro , Stephen Piddock

Abelian and non-Abelian gauge theories are of central importance in many areas of physics. In condensed matter physics, Abelian U(1) lattice gauge theories arise in the description of certain quantum spin liquids. In quantum information…

Quantum Physics · Physics 2015-06-15 U. -J. Wiese

Rydberg atoms held in optical tweezer arrays combine vibrational and electronic degrees of freedom which can be coupled and manipulated at a microscopic level. This opens opportunities for the quantum simulation of artificial molecular…

Quantum Physics · Physics 2025-10-21 Simon Euchner , Igor Lesanovsky

We propose and implement a lattice scheme for coherently manipulating atomic spins. Using the vector light shift and a superlattice structure, we demonstrate experimentally the capability on parallel spin addressing in double-wells and…

Quantum Gases · Physics 2017-08-25 Bing Yang , Han-Ning Dai , Hui Sun , Andreas Reingruber , Zhen-Sheng Yuan , Jian-Wei Pan

We propose a (theoretical ;-) model for quantum computation where the result can be read out from the time average of the Hamiltonian dynamics of a 2-dimensional crystal on a cylinder. The Hamiltonian is a spatially local interaction among…

Quantum Physics · Physics 2007-05-23 Dominik Janzing , Pawel Wocjan

We explore the potential application of quantum computers to the examination of lattice holography, which extends to the strongly-coupled bulk theory regime. With adiabatic evolution, we compute the ground state of a spin system on a…

High Energy Physics - Lattice · Physics 2023-12-19 Ying-Ying Li , Muhammad Omer Sajid , Judah Unmuth-Yockey

We study the states of one and two atoms in a rotating ring lattice in a Hubbard type tight-binding model. The model is developed carefully from basic principles in order to properly identify the physical observables. The one-particle…

Quantum Physics · Physics 2015-06-04 Juha Javanainen , Otim Odong , Jerome C. Sanders

Gauge theories establish the standard model of particle physics, and lattice gauge theory (LGT) calculations employing Markov Chain Monte Carlo (MCMC) methods have been pivotal in our understanding of fundamental interactions. The present…

Classical atomistic simulations based on interatomic potentials resolve lattice instabilities, defect nucleation, and microstructure evolution with high fidelity, but their accessible system sizes remain far below those required for…

Numerical Analysis · Mathematics 2026-05-26 Aagashram Neelakandan , Karsten Albe , Bernhard Eidel

Classical simulation of quantum systems plays an important role in the study of many-body phenomena and in the benchmarking and verification of quantum technologies. Exact simulation is often limited to small systems because the dimension…

Quantum Physics · Physics 2024-06-04 Dominik S. Wild , Sabina Drăgoi , Corbin McElhanney , Jonathan Wurtz , Sheng-Tao Wang

The relativistic spinning particle model, proposed in [3,4], is analyzed in a Hamiltonian framework. The spin is simulated by extending the configuration space by introducing a light-like four vector degree of freedom. The model is heavily…

High Energy Physics - Theory · Physics 2009-11-06 Sudipta Das , Subir Ghosh

Rydberg atom arrays have emerged as a powerful platform to simulate a number of exotic quantum ground states and phase transitions. To verify these capabilities numerically, we develop a versatile quantum Monte Carlo sampling technique…

Strongly Correlated Electrons · Physics 2026-01-28 Pranay Patil
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