Scalable cold-atom quantum simulator of a $3+1$D U$(1)$ lattice gauge theory with dynamical matter
- URL: http://arxiv.org/abs/2601.04345v1
- Date: Wed, 07 Jan 2026 19:32:05 GMT
- Title: Scalable cold-atom quantum simulator of a $3+1$D U$(1)$ lattice gauge theory with dynamical matter
- Authors: Simone Orlando, Guo-Xian Su, Bing Yang, Jad C. Halimeh,
- Abstract summary: We propose a scalable cold-atom quantum simulator of a U$(1)$ quantum link model of quantum electrodynamics in three spatial dimensions.<n>We benchmark the performance of this quantum simulator through near- and far-from-equilibrium observables, showing excellent agreement with the ideal gauge theory.<n>Our findings pave the way towards realistic quantum simulators of $3+1$D lattice gauge theories that can probe well beyond classical simulability.
- Score: 2.197737368174698
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The stated overarching goal of the highly active field of quantum simulation of high-energy physics (HEP) is to achieve the capability to study \textit{ab-initio} real-time microscopic dynamics of $3+1$D quantum chromodynamics (QCD). However, existing experimental realizations and theoretical proposals for future ones have remained restricted to one or two spatial dimensions. Here, we take a big step towards this goal by proposing a concrete experimentally feasible scalable cold-atom quantum simulator of a U$(1)$ quantum link model of quantum electrodynamics (QED) in three spatial dimensions, employing \textit{linear gauge protection} to stabilize gauge invariance. Using tree tensor network simulations, we benchmark the performance of this quantum simulator through near- and far-from-equilibrium observables, showing excellent agreement with the ideal gauge theory. Additionally, we introduce a method for \textit{analog quantum error mitigation} that accounts for unwanted first-order tunneling processes, vastly improving agreement between quantum-simulator and ideal-gauge-theory results. Our findings pave the way towards realistic quantum simulators of $3+1$D lattice gauge theories that can probe regimes well beyond classical simulability.
Related papers
- Towards $2+1$D quantum electrodynamics on a cold-atom quantum simulator [2.074088857446944]
We propose a feasible cold-atom quantum simulator of a lattice gauge theory in a spin $S=1$ truncation.<n>We derive a mapping of this theory onto a bosonic computational basis, stabilized by an emergent gauge-protection mechanism.<n>Our work significantly advances the experimental prospects for simulating higher-dimensional lattice gauge theories.
arXiv Detail & Related papers (2026-02-04T19:00:00Z) - Onset of thermalization of q-deformed SU(2) Yang-Mills theory on a trapped-ion quantum computer [1.2744523252873352]
We develop a quantum simulation of thermalization dynamics in a (2+1)-dimensional $q$-deformed $mathrmSU(2)_3$ Yang-Mills theory.<n>We successfully simulate the real-time dynamics of this model using quantum circuits that explicitly implement $F$-moves.
arXiv Detail & Related papers (2026-01-20T02:25:53Z) - Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution.
We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions.
We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
arXiv Detail & Related papers (2024-05-27T17:40:39Z) - Ergodicity Breaking Under Confinement in Cold-Atom Quantum Simulators [1.3367376307273382]
We consider the spin-$1/2$ quantum link formulation of $1+1$D quantum electrodynamics with a topological $theta$-angle.
We show an interplay between confinement and the ergodicity-breaking paradigms of quantum many-body scarring and Hilbert-space fragmentation.
arXiv Detail & Related papers (2023-01-18T19:00:01Z) - Large-Scale $2+1$D $\mathrm{U}(1)$ Gauge Theory with Dynamical Matter in
a Cold-Atom Quantum Simulator [3.1192594881563127]
A major driver of quantum-simulator technology is the prospect of probing high-energy phenomena in synthetic quantum matter setups at a high level of control and tunability.
Here, we propose an experimentally feasible realization of a large-scale $2+1$D $mathrmU(1)$ gauge theory with dynamical matter and gauge fields in a cold-atom quantum simulator with spinless bosons.
arXiv Detail & Related papers (2022-11-02T18:00:00Z) - Studying chirality imbalance with quantum algorithms [62.997667081978825]
We employ the (1+1) dimensional Nambu-Jona-Lasinio (NJL) model to study the chiral phase structure and chirality charge density of strongly interacting matter.
By performing the Quantum imaginary time evolution (QITE) algorithm, we simulate the (1+1) dimensional NJL model on the lattice at various temperature $T$ and chemical potentials $mu$, $mu_5$.
arXiv Detail & Related papers (2022-10-06T17:12:33Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Photon-mediated Stroboscopic Quantum Simulation of a $\mathbb{Z}_{2}$
Lattice Gauge Theory [58.720142291102135]
Quantum simulation of lattice gauge theories (LGTs) aims at tackling non-perturbative particle and condensed matter physics.
One of the current challenges is to go beyond 1+1 dimensions, where four-body (plaquette) interactions, not contained naturally in quantum simulating devices, appear.
We show how to prepare the ground state and measure Wilson loops using state-of-the-art techniques in atomic physics.
arXiv Detail & Related papers (2021-07-27T18:10:08Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z) - Towards simulating 2D effects in lattice gauge theories on a quantum
computer [1.327151508840301]
We propose an experimental quantum simulation scheme to study ground state properties in two-dimensional quantum electrodynamics (2D QED) using existing quantum technology.
The proposal builds on a formulation of lattice gauge theories as effective spin models in arXiv:2006.14160.
We present two Variational Quantum Eigensolver (VQE) based protocols for the study of magnetic field effects, and for taking an important first step towards computing the running coupling of QED.
arXiv Detail & Related papers (2020-08-21T01:20:55Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.