Matches in SemOpenAlex for { <https://semopenalex.org/work/W4318064903> ?p ?o ?g. }
- W4318064903 abstract "The Trotter-Suzuki decomposition is a promising avenue for digital quantum simulation (DQS), approximating continuous-time dynamics by discrete Trotter steps of duration $ensuremath{tau}$. Recent work suggested that DQS is typically characterized by a sharp Trotter transition: when $ensuremath{tau}$ is increased beyond a threshold value, approximation errors become uncontrolled at large times due to the onset of quantum chaos. Here, we contrast this picture with the case of integrable DQS. We focus on a simple quench from a spin-wave state in the prototypical XXZ Heisenberg spin chain, and study its integrable Trotterized evolution as a function of $ensuremath{tau}$. Because of its exact local conservation laws, the system does not heat up to infinite temperature and the late-time properties of the dynamics are captured by a discrete generalized Gibbs ensemble (dGGE). By means of exact calculations we find that, for small $ensuremath{tau}$, the dGGE depends analytically on the Trotter step, implying that discretization errors remain bounded even at infinite times. Conversely, the dGGE changes abruptly at a threshold value ${ensuremath{tau}}_{mathrm{th}}$, signaling a novel type of Trotter transition. We show that the latter can be detected locally, as it is associated with the appearance of a nonzero staggered magnetization with a subtle dependence on $ensuremath{tau}$. We highlight the differences between continuous and discrete GGEs, suggesting the latter as novel interesting nonequilibrium states exclusive to digital platforms." @default.
- W4318064903 created "2023-01-26" @default.
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- W4318064903 creator A5037936591 @default.
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- W4318064903 date "2023-06-29" @default.
- W4318064903 modified "2023-09-30" @default.
- W4318064903 title "Integrable Digital Quantum Simulation: Generalized Gibbs Ensembles and Trotter Transitions" @default.
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- W4318064903 doi "https://doi.org/10.1103/physrevlett.130.260401" @default.
- W4318064903 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/37450812" @default.
- W4318064903 hasPublicationYear "2023" @default.
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