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 {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.

Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories / Halimeh, Jad C.; Ott, Robert; Mcculloch, Ian P.; Yang, Bing; Hauke, Philipp. - In: PHYSICAL REVIEW RESEARCH. - ISSN 2643-1564. - ELETTRONICO. - 2:3(2020), p. 033361. [10.1103/physrevresearch.2.033361]

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

Hauke, Philipp
Ultimo
2020-01-01

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 {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.
2020
3
Halimeh, Jad C.; Ott, Robert; Mcculloch, Ian P.; Yang, Bing; Hauke, Philipp
Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories / Halimeh, Jad C.; Ott, Robert; Mcculloch, Ian P.; Yang, Bing; Hauke, Philipp. - In: PHYSICAL REVIEW RESEARCH. - ISSN 2643-1564. - ELETTRONICO. - 2:3(2020), p. 033361. [10.1103/physrevresearch.2.033361]
File in questo prodotto:
File Dimensione Formato  
PhysRevResearch.2.033361.pdf

accesso aperto

Descrizione: Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories
Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 4.28 MB
Formato Adobe PDF
4.28 MB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/273269
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 11
  • ???jsp.display-item.citation.isi??? 15
social impact