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Gauge fields coupled to dynamical matter are ubiquitous in many disciplines of physics, ranging from particle to condensed matter physics, but their implementation in large-scale quantum simulators remains challenging. Here we propose a…

Quantum simulations of many-body systems are among the most promising applications of quantum computers. In particular, models based on strongly-correlated fermions are central to our understanding of quantum chemistry and materials…

We consider fermionic fully-packed loop and quantum dimer models which serve as effective low-energy models for strongly correlated fermions on a checkerboard lattice at half and quarter filling, respectively. We identify a large number of…

Strongly Correlated Electrons · Physics 2011-06-07 Frank Pollmann , Joseph J. Betouras , Kirill Shtengel , Peter Fulde

Unlike the fundamental forces of the Standard Model the quantum effects of gravity are still experimentally inaccessible. Rather surprisingly quantum aspects of gravity, such as massive gravitons, can emerge in experiments with fractional…

Quantum Physics · Physics 2023-03-22 Patricio Salgado-Rebolledo , Jiannis K. Pachos

It is shown that discrete-time quantum walks can be used to digitize, i.e., to time discretize fermionic models of continuous-time lattice gauge theory. The resulting discrete-time dynamics is thus not only manifestly unitary, but also…

Quantum Physics · Physics 2025-02-28 Pablo Arnault , Armando Pérez , Pablo Arrighi , Terry Farrelly

Simulating quantum many-body systems is a highly demanding task since the required resources grow exponentially with the dimension of the system. In the case of fermionic systems, this is even harder since nonlocal interactions emerge due…

Exploring potential empirical manifestations of quantum gravity is a challenging pursuit. In this study, we utilise a lattice representation of a (2+1)D massive gravity toy model interacting with Dirac fermions that can support specific…

Quantum Physics · Physics 2026-04-24 Jiannis K. Pachos , Patricio Salgado-Rebolledo , Martine Schut

Hybrid classical-quantum algorithms aim at variationally solving optimisation problems, using a feedback loop between a classical computer and a quantum co-processor, while benefitting from quantum resources. Here we present experiments…

We develop a generic method to compute the dynamics induced by quenches in completely connected quantum systems. These models are expected to provide a mean-field description at least of the short time dynamics of finite dimensional system.…

Quantum Gases · Physics 2014-05-13 Bruno Sciolla , Giulio Biroli

Quantum computing promises the possibility of studying the real-time dynamics of nonperturbative quantum field theories while avoiding the sign problem that obstructs conventional lattice approaches. Current and near-future quantum devices…

High Energy Physics - Lattice · Physics 2021-12-15 Christopher Culver , David Schaich

The Fermi-Hubbard model, a fundamental framework for studying strongly correlated phenomena could significantly benefit from quantum simulations when exploring non-trivial settings. However, simulating this problem requires twice as many…

Quantum Physics · Physics 2024-02-05 Arian Vezvaee , Nathan Earnest-Noble , Khadijeh Najafi

Numerical evidence for a new dynamical mechanism of elementary particle mass generation has been found by lattice simulation in a simple, yet highly non-trivial SU(3) gauge model where a SU(2) doublet of strongly interacting fermions is…

High Energy Physics - Lattice · Physics 2018-11-27 Roberto Frezzotti , Giancarlo Rossi

Quantum nanosystems involve the coupled dynamics of fermions or bosons across multiple scales in space and time. Examples include quantum dots, superconducting or magnetic nanoparticles, molecular wires, and graphene nanoribbons. The number…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 D. Balamurugan , Peter. J. Ortoleva

The Hubbard model may be the simplest model of particles interacting on a lattice, but simulation of its dynamics remains beyond the reach of current numerical methods. In this article, we show that general quantum computations can be…

Quantum Physics · Physics 2016-04-05 Ning Bao , Patrick Hayden , Grant Salton , Nathaniel Thomas

We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using…

High Energy Physics - Lattice · Physics 2015-02-11 Haiyuan Zou , Yuzhi Liu , Chen-Yen Lai , J. Unmuth-Yockey , Li-Ping Yang , A. Bazavov , Z. Y. Xie , T. Xiang , S. Chandrasekharan , S. -W. Tsai , Y. Meurice

The simulation of lattice gauge theories with tensor network (TN) methods is becoming increasingly fruitful. The vision is that such methods will, eventually, be used to simulate theories in $(3+1)$ dimensions in regimes difficult for other…

High Energy Physics - Lattice · Physics 2017-09-21 Kai Zapp , Roman Orus

In the previous works, we proposed atomic quantum simulations of the U(1) gauge-Higgs model by ultra-cold Bose gases. By studying extended Bose-Hubbard models (EBHMs) including long-range repulsions, we clarified the locations of the…

Quantum Gases · Physics 2019-07-31 Jonghoon Park , Yoshihito Kuno , Ikuo Ichinose

Quantum computers have the potential to expand the utility of lattice gauge theory to investigate non-perturbative particle physics phenomena that cannot be accessed using a standard Monte Carlo method due to the sign problem. Thanks to the…

High Energy Physics - Lattice · Physics 2023-08-30 Emanuele Mendicelli

Simulating key static and dynamic properties of matter -- from creation in the Big Bang to evolution into sub-atomic and astrophysical environments -- arising from the underlying fundamental quantum fields of the Standard Model and their…

High Energy Physics - Phenomenology · Physics 2024-04-10 Christian W. Bauer , Zohreh Davoudi , Natalie Klco , Martin J. Savage

We consider a system of ultracold atoms in an optical lattice as a quantum simulator for electron-positron pair production in quantum electrodynamics (QED). For a setup in one spatial dimension, we investigate the nonequilibrium phenomenon…

Quantum Gases · Physics 2016-08-09 V. Kasper , F. Hebenstreit , M. Oberthaler , J. Berges
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