method-mps

Simulate 1D quantum systems with MPS algorithms like DMRG, VUMPS, and TDVP.

60|92|Updated Apr 30, 2026
One-click install
npx skills add https://github.com/QuantumBFS/quantum.harness --skill method-mps
Or copy as Structured Prompt for Agent▼
Please help me install this Agent Skill.
Skill: method-mps
Source: https://github.com/QuantumBFS/quantum.harness/tree/main/skills/method-mps
Command: npx skills add https://github.com/QuantumBFS/quantum.harness --skill method-mps

SYSTEM DOCUMENTATION & REQUIREMENTS

💡 This Skill includes references (resource) components.

What problem does it solve?

This skill provides a rigorous, expert-curated framework for simulating 1D and quasi-1D quantum systems, helping researchers navigate the complex landscape of Matrix Product State (MPS) algorithms to obtain accurate ground states, dynamics, and thermodynamic properties.

Core Features & Use Cases

  • Algorithm Selection: Expert guidance on choosing between DMRG, VUMPS, TEBD, and TDVP based on your specific Hamiltonian, geometry, and target observables.
  • Convergence Verification: Tools to monitor the tangent-space gradient norm and bond dimension scaling, ensuring results are physically meaningful rather than artifacts of finite-D truncation.
  • Use Case: Use this skill to reproduce the ground state energy of a critical 1D spin chain by selecting the VUMPS algorithm and scaling the bond dimension to achieve machine-precision convergence.

Quick Start

Invoke the method-mps skill to begin the guided setup for your 1D quantum Hamiltonian and select the optimal algorithm for your target geometry.

Frequently Asked Questions about method-mps

High-intent search queries and answers about installing and using this skill.

FAQPage Schema
What is the best way to simulate 1D quantum systems using Matrix Product State algorithms?▼

To simulate 1D quantum systems, choose between DMRG, VUMPS, TEBD, and TDVP based on your Hamiltonian and target observables. This methodology facilitates high-precision variational optimization, bond dimension scaling, and thermodynamic limit extrapolation for quantum many-body research.

How do I choose between DMRG, VUMPS, and TDVP for my quantum many-body research?▼

Algorithm selection between DMRG, VUMPS, and TDVP depends on your specific Hamiltonian, geometry, and target observables. Use DMRG and VUMPS for ground-state optimization, while TDVP handles dynamical studies in 1D and quasi-1D quantum systems.

How do I verify convergence and bond dimension scaling in MPS simulations?▼

Verify MPS convergence by monitoring the tangent-space gradient norm and scaling the bond dimension. This convergence diagnostics approach ensures your results are physically meaningful rather than artifacts of finite-D truncation in variational optimization.

Can I achieve machine-precision convergence for critical 1D spin chains using VUMPS?▼

You can achieve machine-precision convergence for critical 1D spin chains using the VUMPS algorithm. By systematically scaling the bond dimension during variational optimization, you obtain highly accurate ground state energies for quantum many-body systems.

What are the limitations of using MPS algorithms for thermodynamic limit extrapolation?▼

A key limitation of MPS algorithms for thermodynamic limit extrapolation is finite-D truncation, which can produce artifacts if bond dimension scaling is inadequate. Careful convergence diagnostics and tangent-space gradient norm monitoring are essential for physically meaningful results.