Gauge-Symmetry Violation Quantum Phase Transition in Lattice Gauge Theories

Damme, Maarten Van; Halimeh, Jad C.; Hauke, Philipp

doi:10.48550/arxiv.2010.07338

Cited by 9 publications

(12 citation statements)

References 58 publications

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“…The idea of QLMs is that the intrinsic building blocks of the lattice are fewspin systems with appropriate symmetry and commutation relations. While the link Hilbert spaces are never extended as a function of the coupling, making them attractive for near term quantum simulation [316,317,344,[346][347][348][349][350], effective degrees of freedom of a continuous field at each spatial site in a corresponding Kogut-Susskind lattice may be interpreted as distributed across a coupling-dependent volume of the lattice. Though their approach to the continuum and the associated systematic errors remain to be quantified within simulations, RG-flow of QLMs is expected to recover the predictions of QCD if they reside in the same universality class and with appropriate simulation tunings to the critical point.…”

Section: Abelian and Non-abelian Gauge Fields: Toward Lattice Qcdmentioning

confidence: 99%

Standard model physics and the digital quantum revolution: thoughts about the interface

2022

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Advances in isolating, controlling and entangling quantum systems are transforming what was once a curious feature of quantum mechanics into a vehicle for disruptive scientiﬁc and technological progress. Pursuing the vision articulated by Feynman, a concerted eﬀort across many areas of research and development is introducing prototypical digital quantum devices into the computing ecosystem available to domain scientists. Through interactions with these early quantum devices, the abstract vision of exploring classically-intractable quantum systems is evolving toward becoming a tangible reality. Beyond catalyzing these technological advances, entanglement is enabling parallel progress as a diagnostic for quantum correlations and as an organizational tool, both guiding improved understanding of quantum manybody systems and quantum ﬁeld theories deﬁning and emerging from the Standard Model. From the perspective of three domain science theorists, this article compiles thoughts about the interface on entanglement, complexity, and quantum simulation in an eﬀort to contextualize recent NISQ-era progress with the scientiﬁc objectives of nuclear and high-energy physics.

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Section: Abelian and Non-abelian Gauge Fields: Toward Lattice Qcdmentioning

confidence: 99%

Standard model physics and the digital quantum revolution: thoughts about the interface

2022

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“…Results from iMPS simulations in the thermodynamic limit are also shown for S ≤ 5 for the Hamiltonian in Eq. ( 1), where Gauss' law is enforced by adding a large energy penalty ∝ n Ĝ2 n [58,59]. Our results, summarized in Fig.…”

Section: Introduction -mentioning

confidence: 70%

Achieving the continuum limit of quantum link lattice gauge theories on quantum devices

Zache¹,

Damme²,

Halimeh³

et al. 2021

Preprint

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The solution of gauge theories is one of the most promising applications of quantum technologies. Here, we discuss the approach to the continuum limit for U (1) gauge theories regularized via finite-dimensional Hilbert spaces of quantum spin-S operators, known as quantum link models. For quantum electrodynamics (QED) in one spatial dimension, we numerically demonstrate the continuum limit by extrapolating the ground state energy, the scalar, and the vector meson masses to large spin lengths S, large volume N , and vanishing lattice spacing a. By analytically solving Gauss' law for arbitrary S, we obtain a generalized PXP spin model and count the physical Hilbert space dimension analytically. This allows us to quantify the required resources for reliable extrapolations to the continuum limit on quantum devices. We use a functional integral approach to relate the model with large values of half-integer spins to the physics at topological angle Θ = π. Our findings indicate that quantum devices will in the foreseeable future be able to quantitatively probe the QED regime with quantum link models.

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“…One of the primary issues with quantum simulations in the era of noisy intermediate-scale quantum (NISQ) devices is handling the noise inevitably present in the simulation. Specific to LGTs is the issue of retaining the gauge symmetry which defines the target model -currently a topic of active study [11,[17][18][19][20][21][22]. There are studies focusing on reducing the impact of noise in quantum simulations of LGTs [23][24][25], but to the best of our knowledge it has not been studied how noise affects DQPTs in realistic quantum simulations.…”

Section: Introductionmentioning

confidence: 99%

Dynamical quantum phase transitions in a noisy lattice gauge theory

Jensen,

Pedersen,

Zinner

2022

Preprint

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Lattice gauge theories (LGTs) form an intriguing class of theories highly relevant to both highenergy particle physics and low-energy condensed matter physics with the rapid development of engineered quantum devices providing new tools to study e.g. dynamics of such theories. The massive Schwinger model is known to exhibit intricate properties of more complicated theories and has recently been shown to undergo dynamical quantum phase transitions out of equilibrium. With current technology, noise is inevitable and potentially fatal for a successful quantum simulation. This paper studies the dynamics subject to noise of a (1 + 1)D U(1) quantum link model following a quench of the sign of the mass term. We find that not only is the system capable of handling noise at rates realistic in NISQ-era devices, promising the possiblity to study the target dynamics with current technology, but the effect of noise can be understood in terms of simple models. Specifically the gauge-breaking nature of bit-flip channels results in exponential dampening of state amplitudes, and thus observables, which does not affect the structures of interest. This is especially important as it demonstrates that the gauge theory can be successfully studied with devices that only exhibit approximate gauge invariance.

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Gauge-Symmetry Violation Quantum Phase Transition in Lattice Gauge Theories

Cited by 9 publications

References 58 publications

Standard model physics and the digital quantum revolution: thoughts about the interface

Standard model physics and the digital quantum revolution: thoughts about the interface

Achieving the continuum limit of quantum link lattice gauge theories on quantum devices

Dynamical quantum phase transitions in a noisy lattice gauge theory

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