Scalable Cold-Atom Quantum Simulator for Two-Dimensional QED

Ott, Robert; Zache, Torsten V.; Jendrzejewski, Fred; Berges, Jürgen

doi:10.1103/physrevlett.127.130504

Cited by 24 publications

(9 citation statements)

References 39 publications

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“…However, we note that the possibility of realizing the plaquette interaction as a correlated hop could be an altogether practical route to realize the four body interaction without the need of any auxiliary qubits as in a digital simulation scheme [42]. In this regard, our interpretation of the plaquette term as a correlated hop of particles could already extend the schemes provided in [43], which however was postulated for the limit of large boson occupation numbers. In fact, Reference [44] already describes a Rydberg atom implementation of the fermionic t-V model which allows the fermions to hop along only one spatial direction.…”

Section: Discussionmentioning

confidence: 83%

Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes

Banerjee,

Huffman,

Rammelmüller

2022

Preprint

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Quantum link models (QLMs) have attracted a lot of attention in recent times as a generalization of Wilson's lattice gauge theories (LGT), and are particularly suitable for realization on quantum simulators and computers. These models are known to host new phases of matter and act as a bridge between particle and condensed matter physics. In this article, we study the Abelian U (1) lattice gauge theory in (3 + 1)-d tubes using large-scale exact diagonalization (ED). We are then able to motivate the phase diagram of the model with finite size scaling techniques (FSS), and in particular propose the existence of a Coulomb phase. Furthermore, we introduce the first models involving fermionic quantum links, which generalize the gauge degrees of freedom to be of fermionic nature. We prove that while the spectra remain identical between the bosonic and the fermionic versions of the U (1)-symmetric quantum link models in (2 + 1)-d, they are different in (3 + 1)-d. We discuss the prospects of realizing the magnetic field interactions as correlated hopping in quantum simulator experiments.

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Section: Discussionmentioning

confidence: 83%

Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes

Banerjee,

Huffman,

Rammelmüller

2022

Preprint

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“…A central motivation for the present study is related to the rapid advances in the quantum simulation of U(1) lattice gauge theories in one spatial dimension, with several pioneering experiments 62,63,80,81 having opened the way also towards observing many-body effects such as quantum phase transitions and quantum thermalization. In parallel, there has been a strong effort towards developing feasible quantum-simulation proposals for U(1) lattice gauge theories in two spatial dimensions 68,[82][83][84][85][86][87][88][89][90] , with some first proof-of-principle experimental realizations 91 . In view of this rapid development, it becomes an urgent matter to understand the higher-dimensional phase diagrams of feasible gauge theory models that are likely the first targets of larger-scale experiments.…”

Section: Discussionmentioning

confidence: 99%

Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d

Hashizume,

Halimeh,

Hauke

et al. 2021

Preprint

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“…These exciting possibilities are faced with the challenge of finding the proper platform for a given problem both in terms of similarities of Hilbert spaces, the mapping of the symmetries, and the ability to engineer complex interactions with the knobs available in the simulator. For example, simulating the dynamics of both Abelian and non-Abelian gauge theories in 2+1 and higher dimensions have proven hard [180][181][182][183][184][185] given the higher-body interactions present when working in the irrep basis, and non-local interactions when working in dual basis. Some progress has been reported in recent years, but a first implementation of complete building blocks of a lattice gauge theory with high fidelity remains a critical goal of the program in the coming decade.…”

Section: Underlying Simulationsmentioning

confidence: 99%

“…Larger-scale demonstrations of gauge-invariant dynamics in the spin-1/2 QLM of the U (1) LGT in 1+1 D have been made possible in defect-free arrays of bosonic atoms in an optical superlattice with up to 71 sites [198], along with the first demonstration of gauge-theory thermalization in this model [199]. Realization of gauge theories in 2+1 D [180][181][182][183][184][185] and higher dimensions and of the non-Abelian gauge-theory dynamics [152,185,[204][205][206]497] in analog quantum simulators will mark an important next step but these yet need more realistic proposals, as discussed before.…”

Section: E Illuminating the Path: Implementation And Benchmarkmentioning

confidence: 99%

Quantum Simulation for High Energy Physics

Bauer¹,

Davoudi²,

Balantekin³

et al. 2022

Preprint

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It is for the first time that quantum simulation for High Energy Physics (HEP) is studied in the U.S. decadal particle-physics community planning, and in fact until recently, this was not considered a mainstream topic in the community. This fact speaks of a remarkable rate of growth of this subfield over the past few years, stimulated by the impressive advancements in Quantum Information Sciences (QIS) and associated technologies over the past decade, and the significant investment in this area by the government and private sectors in the U.S. and other countries. High-energy physicists have quickly identified problems of importance to our understanding of nature at the most fundamental level, from tiniest distances to cosmological extents, that are intractable with classical computers but may benefit from quantum advantage. They have initiated, and continue to carry out, a vigorous program in theory, algorithm, and hardware co-design for simulations of relevance to the HEP mission. This community whitepaper is an attempt to bring this exciting and yet challenging area of research to the spotlight, and to elaborate on what the promises, requirements, challenges, and potential solutions are over the next decade and beyond.

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Scalable Cold-Atom Quantum Simulator for Two-Dimensional QED

Cited by 24 publications

References 39 publications

Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes

Exploring Bosonic and Fermionic Link Models on $(3+1)-$d tubes

Ground-state phase diagram of quantum link electrodynamics in $(2+1)$-d

Quantum Simulation for High Energy Physics

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