SciPost Physics Core

SciPost Phys. Core 3, 010 (2020) · published 6 November 2020

• doi: 10.21468/SciPostPhysCore.3.2.010
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Abstract

We compare the efficiency of different matrix product state (MPS) based methods for the calculation of two-time correlation functions in open quantum systems. The methods are the purification approach [1] and two approaches [2,3] based on the Monte-Carlo wave function (MCWF) sampling of stochastic quantum trajectories using MPS techniques. We consider a XXZ spin chain either exposed to dephasing noise or to a dissipative local spin flip. We find that the preference for one of the approaches in terms of numerical efficiency depends strongly on the specific form of dissipation.

• Nguyen et al., Correlation functions from tensor network influence functionals: The case of the spin-boson model
  161, 104111 (2024) [Crossref]
• Kamar et al., Splitting the local Hilbert space: Matrix product state based approach to large local dimensions
  Phys. Rev. B 110, 075114 (2024) [Crossref]
• Carballeira et al., Stochastic Schrödinger equation derivation of non-Markovian two-time correlation functions
  Sci Rep 11, 11828 (2021) [Crossref]
• Müller et al., Measurement-Induced Dark State Phase Transitions in Long-Ranged Fermion Systems
  Phys. Rev. Lett. 128, 010605 (2022) [Crossref]
• Müller et al., Monitored interacting Dirac fermions
  Phys. Rev. B 111, 174201 (2025) [Crossref]
• Preisser et al., Comparing bipartite entropy growth in open-system matrix-product simulation methods
  Phys. Rev. A 108, 012616 (2023) [Crossref]
• Ladewig et al., Monitored open fermion dynamics: Exploring the interplay of measurement, decoherence, and free Hamiltonian evolution
  Phys. Rev. Research 4, 033001 (2022) [Crossref]
• Moroder et al., Stable bipolarons in open quantum systems
  Phys. Rev. B 107, 214310 (2023) [Crossref]
• Zündel et al., Space-time first-order correlations of an open Bose Hubbard model with incoherent pump and loss
  SciPost Phys. 18, 095 (2025) [Crossref]
• Landi et al., Nonequilibrium boundary-driven quantum systems: Models, methods, and properties
  Rev. Mod. Phys. 94, 045006 (2022) [Crossref]