Cold atoms meet lattice gauge theory

Aidelsburger, Monika; Barbiero, Luca; Bermudez, Alejandro; Chanda, Titas; Dauphin, Alexandre; González-Cuadra, Daniel; Grzybowski, Przemysław R.; Hands, Simon; Jendrzejewski, Fred; Jünemann, Johannes; Juzeliunas, Gediminas; Kasper, Valentin; Piga, Angelo; Ran, Shi-Ju; Rizzi, Matteo; Sierra, Gérman; Tagliacozzo, Luca; Tirrito, Emanuele; Zache, Torsten V.; Zakrzewski, Jakub; Zohar, Erez; Lewenstein, Maciej

doi:10.48550/arxiv.2106.03063

Cited by 17 publications

(26 citation statements)

References 83 publications

(118 reference statements)

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“…Furthermore, some of the simplest twodimensional (2D) LGTs share the same topological properties of surface codes which, indeed, can be seen as the extreme deconfined limit of systems with Z 2 gauge symmetry. In the last decade, the application of quantum technologies to LGT became a lively field of research [21][22][23][24][25], progressing both on the development of several technologies and algorithms to tackle the complexity of LGTs and on the study of LGTs themselves.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional $\mathbb{Z}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order

Lumia,

Torta,

Mbeng

et al. 2021

Preprint

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We propose an implementation of a two-dimensional Z2 lattice gauge theory model on a shallow quantum circuit, involving a number of single and two-qubits gates comparable to what can be achieved with present-day and near-future technologies. The ground state preparation is numerically analyzed on a small lattice with a variational quantum algorithm, which requires a small number of parameters to reach high fidelities and can be efficiently scaled up on larger systems. Despite the reduced size of the lattice we consider, a transition between confined and deconfined regimes can be detected by measuring expectation values of Wilson loop operators or the topological entropy. Moreover, if periodic boundary conditions are implemented, the same optimal solution is transferable among all four different topological sectors, without any need for further optimization on the variational parameters. Our work shows that variational quantum algorithms provide a useful technique to be added in the growing toolbox for digital simulations of lattice gauge theories.

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Section: Introductionmentioning

confidence: 99%

Two-dimensional $\mathbb{Z}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order

Lumia,

Torta,

Mbeng

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…One could even think of performing selective excitation among energy branches, to probe the a particular symmetry of the system, by a clever choice of initial states. Finally, the exact nature of Zitterbewegung motion in the presence of dynamic gauge fields seems a promising avenue to explore in the future [53,54].…”

mentioning

confidence: 99%

Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields

Hasan¹,

Madasu²,

Rathod³

et al. 2022

Preprint

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“…In recent years, lattice gauge theories [4,5] have witnessed considerable effort in their experimental realization in low-energy table-top setups of quantum synthetic matter [6][7][8][9][10][11][12][13][14][15][16][17]. These experiments have allowed for exploring fundamental high-energy physics phenomena, such as the particle-antiparticle creation [6], Coleman's phase transition [8,10,16,18], and the thermalization dynamics of gauge theories [17], to name a few, and they hold the promise of probing exotic far-from-equilibrium behavior in strongly-correlated matter [19][20][21].…”

mentioning

confidence: 99%

Enhancing disorder-free localization through dynamically emergent local symmetries

Halimeh¹,

Homeier²,

Zhao³

et al. 2021

Preprint

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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 superposition of gauge superselection sectors. Thermalization is then prevented up to all accessible evolution times despite the model being nonintegrable and translation-invariant. In a recent work [Halimeh, Zhao, Hauke, and Knolle, arXiv:2111.02427], it has been shown that terms linear in the gauge-symmetry generator stabilize disorder-free localization in U(1) gauge theories against gauge errors that couple different superselection sectors. Here, we show in the case of Z2 gauge theories that disorder-free localization can not only be stabilized, but also enhanced by the addition of translationinvariant terms linear in a local Z2 pseudogenerator that acts identically to the full generator in a single superselection sector, but not necessarily outside of it. We show analytically and numerically how this leads through the quantum Zeno effect to the dynamical emergence of a renormalized gauge theory with an enhanced local symmetry, which contains the Z2 gauge symmetry of the ideal model, associated with the Z2 pseudogenerator. The resulting proliferation of superselection sectors due to this dynamically emergent gauge theory creates an effective disorder greater than that in the original model, thereby enhancing disorder-free localization. We demonstrate the experimental feasibility of the Z2 pseudogenerator by providing a detailed readily implementable experimental proposal for the observation of disorder-free localization in a Rydberg setup. CONTENTS

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Cold atoms meet lattice gauge theory

Cited by 17 publications

References 83 publications

Two-dimensional $\mathbb{Z}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order

Two-dimensional $\mathbb{Z}_2$ lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order

Wave-packet Dynamics in Synthetic Non-Abelian Gauge Fields

Enhancing disorder-free localization through dynamically emergent local symmetries

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