BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Carlos Ramos Marimón DTSTART:20250923T140000Z DTEND:20250923T150000Z DTSTAMP:20260423T053016Z UID:TalentQ/27 DESCRIPTION:Title: Off-diagonal Pauli Weight truncation and equilibration temperature depend ence for simulating local dynamics in quantum systems\nby Carlos Ramos Marimón as part of Quantum Spain\n\n\nAbstract\nThe complexity of simula ting the out-of-equilibrium evolution of local operators in the Heisenberg picture is governed by the operator entanglement\, which grows linearly i n time for generic nonintegrable systems\, leading to an exponential incre ase in computational resources. A promising approach to simplify this chal lenge involves discarding parts of the operator and focusing on a subspace formed by “light” Pauli strings—strings with few Pauli matrices—a s proposed by Rakovszki et al. [Phys. Rev. B 105\, 07513 (2022)] for infin ite temperature settings.\nIn our recent works [Phys. Rev. B 111\, 094301( 2025)\, In preparation]\, we investigated whether this strategy can be app lied to quenches starting from homogeneous product states\, end extend it to handle arbitrary temperatures\, since the evolution of ergodic Hamilton ians combined with these initial states grant access to a wide range of eq uilibration regimes.\nBy concentrating on the required matrix elements and retaining only the portion of the operator that contains Pauli strings pa rallel to the initial state\, we uncover a complex scenario. For intermedi ate simulation times\, in some cases the light Pauli strings suffice to de scribe the dynamics\, enabling efficient simulation with current algorithm s\; however\, for other cases heavier strings become necessary\, pushing c omputational demands beyond our current capabilities.\nFor long simulation times\, we detect that complexity is intimately correlated with the equil ibration temperature\, and that our modified method agrees with the state- of-the art transverse contraction simulations. In the process\, we found t hat the transverse light-cone algorithm also displays a complexity correla ted with temperature\, which can be explained by a careful reinterpretatio n of our results in [Phys. Rev. Research 6\, 033021(2024)].\n LOCATION:https://researchseminars.org/talk/TalentQ/27/ END:VEVENT END:VCALENDAR