Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories

• URL: http://arxiv.org/abs/2005.10249v2
• Date: Tue, 11 Aug 2020 19:10:13 GMT
• Title: Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
• Authors: Jad C. Halimeh, Robert Ott, Ian P. McCulloch, Bing Yang, Philipp Hauke
• Abstract summary: We analyze the robustness of gauge-invariant dynamics against potential preparation defects in an ultracold-atom implementation of a $mathrmU(1)$ gauge theory. Our results indicate that the aforementioned experimental realization exhibits a high level of fidelity in the gauge invariance of its dynamics at all evolution times.
• Score: 3.1192594881563127
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Recent years have seen strong progress in quantum simulation of gauge-theory dynamics using ultracold-atom experiments. A principal challenge in these efforts is the certification of gauge invariance, which has recently been realized in [B.~Yang et al., arXiv:2003.08945]. One major but poorly investigated experimental source of gauge-invariance violation is an imperfect preparation of the initial state. Using the time-dependent density-matrix renormalization group, we analyze the robustness of gauge-invariant dynamics against potential preparation defects in the above ultracold-atom implementation of a $\mathrm{U}(1)$ gauge theory. We find defects related to an erroneous initialization of matter fields to be innocuous, as the associated gauge-invariance violation remains strongly localized throughout the time evolution. A defect due to faulty initialization of the gauge field leads to a mild proliferation of the associated violation. Furthermore, we characterize the influence of immobile and mobile defects by monitoring the spread of entanglement entropy. Overall, our results indicate that the aforementioned experimental realization exhibits a high level of fidelity in the gauge invariance of its dynamics at all evolution times. Our work provides strong evidence that ultracold-atom setups can serve as an extremely reliable framework for the quantum simulation of gauge-theory dynamics.

Related papers

• Restoring Kibble-Zurek Scaling and Defect Freezing in Non-Hermitian Systems under Biorthogonal Framework [1.9460072625303615]
  We develop a theoretical framework based on time-dependent biorthogonal quantum formalism. We study the nonadiabatic dynamics of a linearly driven non-Hermitian system.
  arXiv  Detail & Related papers  (2024-10-31T05:01:00Z)
• End-To-End Latent Variational Diffusion Models for Inverse Problems in High Energy Physics [61.44793171735013]
  We introduce a novel unified architecture, termed latent variation models, which combines the latent learning of cutting-edge generative art approaches with an end-to-end variational framework. Our unified approach achieves a distribution-free distance to the truth of over 20 times less than non-latent state-of-the-art baseline.
  arXiv  Detail & Related papers  (2023-05-17T17:43:10Z)
• Diversity-Measurable Anomaly Detection [106.07413438216416]
  We propose Diversity-Measurable Anomaly Detection (DMAD) framework to enhance reconstruction diversity. PDM essentially decouples deformation from embedding and makes the final anomaly score more reliable.
  arXiv  Detail & Related papers  (2023-03-09T05:52:42Z)
• Evaluating the Adversarial Robustness for Fourier Neural Operators [78.36413169647408]
  Fourier Neural Operator (FNO) was the first to simulate turbulent flow with zero-shot super-resolution. We generate adversarial examples for FNO based on norm-bounded data input perturbations. Our results show that the model's robustness degrades rapidly with increasing perturbation levels.
  arXiv  Detail & Related papers  (2022-04-08T19:19:42Z)
• Stabilizing lattice gauge theories through simplified local pseudo generators [0.0]
  We show that gauge invariance can be reliably stabilized by employing simplified textitlocal pseudotheorygenerators designed such that within the physical sector they act identically to the actual local generator. We showcase our method in the $mathbbZ$ lattice gauge theory, and discuss experimental considerations for its realization in modern ultra-coldatom setups.
  arXiv  Detail & Related papers  (2021-08-04T18:00:00Z)
• Bayesian Uncertainty Estimation of Learned Variational MRI Reconstruction [63.202627467245584]
  We introduce a Bayesian variational framework to quantify the model-immanent (epistemic) uncertainty. We demonstrate that our approach yields competitive results for undersampled MRI reconstruction.
  arXiv  Detail & Related papers  (2021-02-12T18:08:14Z)
• Fate of Lattice Gauge Theories Under Decoherence [0.0]
  We study the effect of decoherence on the quench dynamics of a lattice gauge theory. We introduce multiple quantum coherences in the context of gauge theories to quantify decoherence effects.
  arXiv  Detail & Related papers  (2020-09-16T18:00:01Z)
• Subdiffusion via Disordered Quantum Walks [52.77024349608834]
  We experimentally prove the feasibility of disordered quantum walks to realize a quantum simulator that is able to model general subdiffusive phenomena. Our experiment simulates such phenomena by means of a finely controlled insertion of various levels of disorder during the evolution of the walker. This allows us to explore the full range of subdiffusive behaviors, ranging from anomalous Anderson localization to normal diffusion.
  arXiv  Detail & Related papers  (2020-07-24T13:56:09Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)
• Origin of staircase prethermalization in lattice gauge theories [0.0]
  Quantum many-body systems with exact local gauge symmetries exhibit rich out-of-equilibrium physics. We present evidence of textitstaircase prethermalization in a $mathrmZ$ lattice gauge theory.
  arXiv  Detail & Related papers  (2020-04-15T18:00:08Z)
• Reliability of lattice gauge theories [0.0]
  We show that in the presence of a gauge invariance-breaking term the gauge violation accumulates only perturbatively at short times before proliferating only at very long times. This proliferation can be suppressed up to infinite times by energetically penalizing processes that drive the dynamics away from the initial gauge-invariant sector. Our results highlight a surprising robustness of gauge-theory quantum simulators.
  arXiv  Detail & Related papers  (2019-12-31T19:00:02Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.