Reliability of lattice gauge theories in the thermodynamic limit

  title={Reliability of lattice gauge theories in the thermodynamic limit},
  author={Maarten Van Damme and Haifeng Lang and Philipp Hauke and Jad C. Halimeh},
  journal={Physical Review B},

Stabilizing lattice gauge theories through simplified local pseudogenerators

The postulate of gauge invariance in nature does not lend itself directly to implementations of lattice gauge theories in modern setups of quantum synthetic matter. Unavoidable gauge-breaking errors

Robust quantum many-body scars in lattice gauge theories

Quantum many-body scarring is a paradigm of weak ergodicity breaking arising due to the presence of special nonthermal many-body eigenstates that possess low entanglement entropy, are equally spaced

Suppression of $1/f$ noise in quantum simulators of gauge theories

In the current drive to quantum-simulate evermore complex gauge-theory phenomena, it is nec-essary to devise schemes allowing for the control and suppression of unavoidable gauge-breaking errors on

Stabilizing Gauge Theories in Quantum Simulators: A Brief Review

Quantum simulation is at the heart of the ongoing “second” quantum revolution, with various synthetic quantum matter platforms realizing evermore exotic condensed matter and particle physics

Disorder-free localization with Stark gauge protection

Disorder-free localization in translation-invariant gauge theories presents a counterintuitive yet powerful framework of ergodicity breaking in quantum many-body physics. The fragility of this

From quantum link models to D-theory: a resource efficient framework for the quantum simulation and computation of gauge theories

  • U. Wiese
  • Physics
    Philosophical Transactions of the Royal Society A
  • 2021
Thanks to their finite-dimensional Hilbert space and their economical mechanism of reaching the continuum limit by dimensional reduction, quantum link models provide a resource efficient framework for the quantum simulation and computation of gauge theories.

Achieving the quantum field theory limit in far-from-equilibrium quantum link models

Realizations of gauge theories in setups of quantum synthetic matter open up the possibility of probing salient exotic phenomena in condensed matter and high-energy physics, along with potential

Engineering an effective three-spin Hamiltonian in trapped-ion systems for applications in quantum simulation

Trapped-ion quantum simulators, in analog and digital modes, are considered a primary candidate to achieve quantum advantage in quantum simulation and quantum computation. The underlying controlled

Gauging the Kitaev chain

We gauge the fermion parity symmetry of the Kitaev chain. While the bulk of the model becomes an Ising chain of gauge-invariant spins in a tilted field, near the boundaries the global fermion parity

Realizing a scalable building block of a U(1) gauge theory with cold atomic mixtures

In the fundamental laws of physics, gauge fields mediate the interaction between charged particles. An example is quantum electrodynamics -- the theory of electrons interacting with the

Lattice gauge theory simulations in the quantum information era

The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behaviour of elementary particles to the physics of electrons in solids. Most of our

Implementing quantum electrodynamics with ultracold atomic systems

We discuss the experimental engineering of model systems for the description of quantum electrodynamics (QED) in one spatial dimension via a mixture of bosonic 23Na and fermionic 6Li atoms. The local

Quantum simulations of lattice gauge theories using ultracold atoms in optical lattices

The Hamiltonian formulation of lattice gauge theories is reviewed, and the recent progress in constructing the quantum simulation of Abelian and non-Abelian lattICE gauge theories in 1  +‬1 and 2‬2 dimensions using ultracold atoms in optical lattices is described.

Observation of prethermalization in long-range interacting spin chains

This work experimentally studies the relaxation dynamics of a chain of up to 22 spins evolving under a long-range transverse-field Ising Hamiltonian following a sudden quench, and shows that prethermalization occurs in a broader context than previously thought, and reveals new challenges for a generic understanding of the thermalization of quantum systems, particularly in the presence of long- range interactions.

Simulating lattice gauge theories within quantum technologies

Lattice gauge theories, which originated from particle physics in the context of Quantum Chromodynamics (QCD), provide an important intellectual stimulus to further develop quantum information

Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories

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

Generalized Adiabatic Theorem and Strong-Coupling Limits

We generalize Kato's adiabatic theorem to nonunitary dynamics with an isospectral generator. This enables us to unify two strong-coupling limits: one driven by fast oscillations under a Hamiltonian,

Experimental Trapped-ion Quantum Simulation of the Kibble-Zurek dynamics in momentum space

The experimental quantum simulation of critical dynamics in the transverse-field Ising model by a set of Landau-Zener crossings in pseudo-momentum space, that can be probed with high accuracy using a single trapped ion.