Gauge Theories with Ultracold Atoms

Barros, Joao C. Pinto; Burrello, Michele; Trombettoni, Andrea

doi:10.1007/978-3-030-35473-2_8

Cited by 2 publications

(1 citation statement)

References 90 publications

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“…This is manifested through the existence of local symmetries ensuring that the non-physical degrees of freedom decouple from the physical ones. The engineering of these symmetries is one of the great challenges of present day quantum simulators [11][12][13][14][15][16].…”

Section: Introductionmentioning

confidence: 99%

Reformulation of gauge theories in terms of gauge invariant fields

Fontana,

Barros,

Trombettoni

2020

Preprint

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In this paper we present a reformulation of gauge theories in terms of gauge invariant fields. Focusing on abelian theories, we show that the gauge and matter covariant fields can be recombined to introduce new gauge invariant degrees of freedom. We first consider the (1 + 1) dimensional case on the lattice, with both periodic and open boundary conditions. Then the procedure is generalized to higher dimensions and to the continuum limit. To show explicit and physically relevant examples of the reformulation, we apply it to the Hamiltonian of a single particle in a (static) magnetic field, pure abelian lattice gauge theories, the Lagrangian of quantum electrodynamics in (3+1) dimensions and the Hamiltonian of the 2d and 3d Hofstadter model. In the latter, we show that the particular construction used to eliminate the the gauge covariant fields enters the definition of the magnetic Brillouin zone.

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Section: Introductionmentioning

confidence: 99%

Reformulation of gauge theories in terms of gauge invariant fields

Fontana,

Barros,

Trombettoni

2020

Preprint

Self Cite

View full text Add to dashboard Cite

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

Halimeh

Damme

Zache

et al. 2022

Quantum

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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 applications in quantum information and science technologies. In light of the impressive ongoing efforts to achieve such realizations, a fundamental question regarding quantum link model regularizations of lattice gauge theories is how faithfully they capture the quantum field theory limit of gauge theories. Recent work \cite{zache2021achieving} has shown through analytic derivations, exact diagonalization, and infinite matrix product state calculations that the low-energy physics of 1+1D U(1) quantum link models approaches the quantum field theory limit already at small link spin length S. Here, we show that the approach to this limit also lends itself to the far-from-equilibrium quench dynamics of lattice gauge theories, as demonstrated by our numerical simulations of the Loschmidt return rate and the chiral condensate in infinite matrix product states, which work directly in the thermodynamic limit. Similar to our findings in equilibrium that show a distinct behavior between half-integer and integer link spin lengths, we find that criticality emerging in the Loschmidt return rate is fundamentally different between half-integer and integer spin quantum link models in the regime of strong electric-field coupling. Our results further affirm that state-of-the-art finite-size ultracold-atom and NISQ-device implementations of quantum link lattice gauge theories have the real potential to simulate their quantum field theory limit even in the far-from-equilibrium regime.

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Gauge Theories with Ultracold Atoms

Abstract: We discuss and review in this chapter the developing field of research of quantum simulation of gauge theories with ultracold atoms.

Cited by 2 publications

References 90 publications

Reformulation of gauge theories in terms of gauge invariant fields

Reformulation of gauge theories in terms of gauge invariant fields

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

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