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A framework for quantum simulations of real-time weak decays of hadrons and nuclei in a 2-flavor lattice theory in one spatial dimension is presented. A single generation of the Standard Model is found to require 16 qubits per spatial…

We investigate fermion--anti-fermion production in 1+1 dimensional QED using real-time lattice techniques. In this non-perturbative approach the full quantum dynamics of fermions is included while the gauge field dynamics can be accurately…

High Energy Physics - Phenomenology · Physics 2013-05-24 Florian Hebenstreit , Jürgen Berges , Daniil Gelfand

For over twenty years, ultra-cold atomic systems have formed an almost perfect arena for simulating different quantum many-body phenomena and exposing their non-obvious and very often counterintuitive features. Thanks to extremely precise…

Quantum Gases · Physics 2020-06-12 Jacek Dobrzyniecki , Tomasz Sowiński

Locally constrained gauge theories underpin our understanding of fundamental interactions in particle physics and the emergent behaviour of quantum materials. In strongly correlated systems, they can give rise to quantum spin liquids that…

The central idea of this review is to consider quantum field theory models relevant for particle physics and replace the fermionic matter in these models by a bosonic one. This is mostly motivated by the fact that bosons are more…

Lattice Gauge Theories form a very successful framework for studying nonperturbative gauge field physics, in particular in Quantum Chromodynamics. Recently, their quantum simulation on atomic and solid-state platforms has been discussed,…

Quantum Physics · Physics 2020-03-04 Erez Zohar

In the past decade we have witnessed remarkable developments in the gauge-gravity duality, which suggested a new approach to superstring theory and quantum space-time. In this context it is important to study supersymmetric large-N gauge…

High Energy Physics - Lattice · Physics 2010-11-05 Jun Nishimura

State-of-the-art algorithms for simulating fermions coupled to gauge fields often rely on integrating fermion degrees of freedom. While successful in simulating QCD at zero chemical potential, at finite density these approaches are hindered…

High Energy Physics - Lattice · Physics 2024-02-05 Joao C. Pinto Barros , Thea Budde , Marina Krstic Marinkovic

String breaking is a fundamental concept in gauge theories, describing the decay of a flux string connecting two charges through the production of particle-antiparticle pairs. This phenomenon is particularly important in particle physics,…

Quantum Gases · Physics 2024-11-26 Ying Liu , Wei-Yong Zhang , Zi-Hang Zhu , Ming-Gen He , Zhen-Sheng Yuan , Jian-Wei Pan

We propose a method of simulating efficiently many-body interacting fermion lattice models in trapped ions, including highly nonlinear interactions in arbitrary spatial dimensions and for arbitrarily distant couplings. We map products of…

Quantum Physics · Physics 2015-05-30 J. Casanova , A. Mezzacapo , L. Lamata , E. Solano

Scattering processes are fundamental for understanding the structure of matter, yet simulating their real-time dynamics remains challenging for classical computers. Quantum computing and quantum-inspired methods offer a promising avenue for…

Quantum Physics · Physics 2025-07-15 Yahui Chai , Yibin Guo , Stefan Kühn

We present a scheme for robust finite temperature quantum simulation of stabilizer Hamiltonians. The scheme is designed for realization in a physical system consisting of a finite set of neutral atoms trapped in an addressable optical…

Quantum Physics · Physics 2015-06-04 Kevin C. Young , Mohan Sarovar , Jon Aytac , C. M. Herdman , K. Birgitta Whaley

Due to rapidly improving quantum computing hardware, Hamiltonian simulations of relativistic lattice field theories have seen a resurgence of attention. This computational tool requires turning the formally infinite-dimensional Hilbert…

High Energy Physics - Phenomenology · Physics 2023-07-25 Christian W. Bauer , Irian D'Andrea , Marat Freytsis , Dorota M. Grabowska

Abelian gauge theories formulated on a space-time lattice can be used as a prototype for investigating the confinement mechanism. In U(1) lattice gauge theory it is possible to perform a dual transformation of the path integral. Simulating…

High Energy Physics - Lattice · Physics 2007-05-23 Martin Zach , Manfried Faber , Alexandra Müller , Peter Skala

We study how to numerically simulate quantum fermions out of thermal equilibrium, in the context of electroweak baryogenesis. We find that by combining the lattice implementation of Aarts and Smit [1] with the "low cost" fermions of…

High Energy Physics - Phenomenology · Physics 2015-05-28 Paul M. Saffin , Anders Tranberg

In this paper, we study theoretically atomic quantum simulations of a U(1) gauge-Higgs model on a three-dimensional (3D) spatial lattice by using an extended Bose-Hubbard model with intersite repulsions on a 3D optical lattice. Here, the…

Quantum Gases · Physics 2016-12-30 Yoshihito Kuno , Shinya Sakane , Kenichi Kasamatsu , Ikuo Ichinose , Tetsuo Matsui

In this work, we address the problem of a resource-efficient formulation of non-Abelian LGTs by focusing on the difficulty of simulating fermionic degrees of freedom and the Hilbert space redundancy. First, we show a procedure that removes…

High Energy Physics - Lattice · Physics 2026-01-19 Emanuele Gaz , Pavel P. Popov , Guy Pardo , Maciej Lewenstein , Philipp Hauke , Erez Zohar

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

One of the methods proposed in the last years for studying non-perturbative gauge theory physics is quantum simulation, where lattice gauge theories are mapped onto quantum devices which can be built in the laboratory, or quantum computers.…

High Energy Physics - Lattice · Physics 2024-04-02 Judy Shir , Erez Zohar

A Hamiltonian lattice formulation of lattice gauge theories opens the possibility for quantum simulations of the non-perturbative dynamics of QCD. By parametrizing the gauge invariant Hilbert space in terms of plaquette degrees of freedom,…

High Energy Physics - Lattice · Physics 2024-11-27 Anthony N. Ciavarella , Christian W. Bauer