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.