# Gauge protection in non-abelian lattice gauge theories

@article{Halimeh2022GaugePI, title={Gauge protection in non-abelian lattice gauge theories}, author={Jad C. Halimeh and Haifeng Lang and Philipp Hauke}, journal={New Journal of Physics}, year={2022}, volume={24} }

Protection of gauge invariance in experimental realizations of lattice gauge theories based on energy-penalty schemes has recently stimulated impressive efforts both theoretically and in setups of quantum synthetic matter. A major challenge is the reliability of such schemes in non-abelian gauge theories where local conservation laws do not commute. Here, we show through exact diagonalization (ED) that non-abelian gauge invariance can be reliably controlled using gauge-protection terms that…

## 14 Citations

### Stabilizing lattice gauge theories through simplified local pseudogenerators

- PhysicsPhysical Review Research
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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…

### Disorder-free localization with Stark gauge protection

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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…

### Enhancing Disorder-Free Localization through Dynamically Emergent Local Symmetries

- PhysicsPRX Quantum
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Disorder-free localization is a recently discovered phenomenon of nonergodicity that can emerge in quantum many-body systems hosting gauge symmetries when the initial state is prepared in a…

### Stabilizing Gauge Theories in Quantum Simulators: A Brief Review

- Physics
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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…

### Dynamical quantum phase transitions in a noisy lattice gauge theory

- PhysicsPhysical Review B
- 2022

Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both high-energy particle physics and low-energy condensed matter physics with the rapid development of…

### Probing confinement in a $\mathbb{Z}_2$ lattice gauge theory on a quantum computer

- Physics
- 2022

Digital quantum simulators provide a table-top platform for addressing salient questions in particle and condensed-matter physics. A particularly rewarding target is given by lattice gauge theories…

### Toward Quantum Computing Phase Diagrams of Gauge Theories with Thermal Pure Quantum States

- Physics
- 2022

The phase diagram of strong interactions in nature at ﬁnite temperature and chemical potential remains largely unexplored theoretically due to inadequacy of Monte-Carlo-based computational techniques…

### Preparations for Quantum Simulations of Quantum Chromodynamics in 1+1 Dimensions: (I) Axial Gauge

- Physics
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Tools necessary for quantum simulations of 1 + 1 dimensional quantum chromodynamics are developed. When formulated in axial gauge and with two flavors of quarks, this system requires 12 qubits per…

### Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions

- PhysicsPRX Quantum
- 2022

Tracking the dynamics of physical systems in real time is a prime application of quantum computers. Using a trapped-ion system with up to six qubits, we simulate the real-time dynamics of a lattice…

### Engineering a U(1) lattice gauge theory in classical electric circuits

- PhysicsPhysical Review B
- 2022

Hannes Riechert,1 Jad C. Halimeh,2 Valentin Kasper,3, 4 Landry Bretheau,5 Erez Zohar,6 Philipp Hauke,2 and Fred Jendrzejewski1 Universität Heidelberg, Kirchhoff-Institut für Physik, Im Neuenheimer…

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