Compressed minimum-purity time evolution for late-time quantum dynamics

• URL: http://arxiv.org/abs/2606.11392v1
• Date: Tue, 09 Jun 2026 19:18:22 GMT
• Title: Compressed minimum-purity time evolution for late-time quantum dynamics
• Abstract summary: We introduce compressed minimum-purity time evolution (CoMPuTE) as an approach to keep track of a consistent set of reduced local density matrices.<n>In benchmark applications we demonstrate (i) accurate description of energy diffusion in the one-dimensional mixed-field Ising model, (ii) the applicability to genuinely out-of-equilibrium Floquet dynamics starting from a pure state, and (iii) the limitations of the local reduced density matrix approximation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Unitary time evolution of initially simple quantum many-body states rapidly generates entanglement and complex correlations, which limits direct numerical simulations. The late-time dynamics of physical observables, however, typically exhibits an effective simplicity in the form of hydrodynamics or kinetic theory. This leads to the question whether microscopic equations of motion can remain accurate and tractable up to long time scales by discarding irrelevant information in a controlled manner. Here, we introduce compressed minimum-purity time evolution (CoMPuTE) as an approach to keep track of a consistent set of reduced local density matrices, closing the hierarchical equations of motion using a minimum-purity principle. In benchmark applications we demonstrate (i) accurate description of energy diffusion in the one-dimensional mixed-field Ising model, (ii) the applicability to genuinely out-of-equilibrium Floquet dynamics starting from a pure state, and (iii) the limitations of the local reduced density matrix approximation when describing transport in the XXZ chain at $Δ=1$ that is governed by increasingly non-local integrals of motion. The CoMPuTE method enhances computational efficiency in comparison to the closely related local-information time evolution algorithm, opening a possible route towards an extension to systems in higher spatial dimensions.

Related papers

• Monitored free fermions under periodic driving [42.078441758883635]
  We investigate periodically driven free-fermionic systems subjected to monitoring of the local particle density.<n>We use the nonlinear sigma-model (NLSM) to explain the long-wavelength physics of the time-dependent Hamiltonian.<n>Our results provide a unified analytical and numerical framework for understanding the effects of monitoring in time-modulated fermionic systems.
  arXiv  Detail & Related papers  (2026-08-22T08:10:12Z)
• Interaction-driven dynamics in graphene flakes as a benchmark for quantum simulation [0.0]
  We study interaction-driven ultrafast dynamics in finite graphene flakes following an optical pump quench in an interacting tight-binding model.<n>By comparing exact real-time evolution with simulations restricted to particle-hole excitation subspaces, we assess when relaxation can be captured by low-order many-body processes.
  arXiv  Detail & Related papers  (2026-06-09T08:17:09Z)
• Direct probing of the simulation complexity of open quantum many-body dynamics [42.085941481155295]
  We study the role of dissipation in simulating open-system dynamics using both quantum and classical methods.<n>Our results show that dissipation affects correlation length and mixing time in distinct ways at intermediate and long timescales.
  arXiv  Detail & Related papers  (2025-08-27T15:14:36Z)
• Time-dependent Neural Galerkin Method for Quantum Dynamics [39.63609604649394]
  We introduce a classical computational method for quantum dynamics that relies on a global-in-time variational principle.<n>Our scheme computes the entire state trajectory over a finite time window by minimizing a loss function that enforces the Schr"odinger's equation.<n>We showcase the method by simulating global quantum quenches in the paradigmatic Transverse-Field Ising model in both 1D and 2D.
  arXiv  Detail & Related papers  (2024-12-16T13:48:54Z)
• Exact Model Reduction for Continuous-Time Open Quantum Dynamics [0.0]
  We consider finite-dimensional many-body quantum systems described by time-independent Hamiltonians and Markovian master equations.<n>We present a systematic method for constructing smaller-dimensional, reduced models that reproduce the time evolution of a set of initial conditions or observables of interest.
  arXiv  Detail & Related papers  (2024-12-06T15:00:58Z)
• Space-local memory in generalized master equations: Reaching the thermodynamic limit for the cost of a small lattice simulation [0.0]
  We introduce a novel approach that exploits finite memory in time textitand space to efficiently predict the many-body dynamics of dissipative lattice problems. We demonstrate the strengths of this method by focusing on nonequilibrium polaron relaxation and transport in the dispersive Holstein model.
  arXiv  Detail & Related papers  (2024-11-13T13:30:03Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• A Universal Framework for Quantum Dissipation:Minimally Extended State Space and Exact Time-Local Dynamics [5.221249829454763]
  dynamics of open quantum systems is formulated in a minimally extended state space. Time-local evolution equation is created in a mixed Liouville-Fock space.
  arXiv  Detail & Related papers  (2023-07-31T15:57:10Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Non-equilibrium quantum impurity problems via matrix-product states in the temporal domain [0.0]
  We propose an approach to analyze impurity dynamics based on the matrix-product state (MPS) representation of the Feynman-Vernon influence functional (IF) We obtain explicit expressions of the wave function for a family of one-dimensional reservoirs, and analyze the scaling of TE with the evolution time for different reservoir's initial states. The approach can be applied to a number of experimental setups, including highly non-equilibrium transport via quantum dots and real-time formation of impurity-reservoir correlations.
  arXiv  Detail & Related papers  (2022-05-10T16:05:25Z)
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits [58.720142291102135]
  We simulate a noisy quantum Fourier transform processor with up to 21 qubits. We take into account microscopic dissipative processes rather than relying on digital error models. We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
  arXiv  Detail & Related papers  (2021-02-08T14:55:44Z)
• Fast and differentiable simulation of driven quantum systems [58.720142291102135]
  We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods. We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
  arXiv  Detail & Related papers  (2020-12-16T21:43:38Z)

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.