# Quantum Many

> Quantum Many (iPhone/iPad app by Hieu Bui Ngoc.)

- Source: https://appshunter.io/ios/app/quantum-many/id6759032690 (this page in markdown: same URL + `.md`)
- Developer: [Hieu Bui Ngoc](https://appshunter.io/developer/1876457258)
- Category: Utilities
- Price: Free
- Age rating: 4+
- Requires: iOS 14.0 · 5 MB
- Languages: American English
- Released: 2026-02-11
- Data updated: 2026-08-17
- User reviews in markdown: https://appshunter.io/ios/app/quantum-many/id6759032690/reviews.md

## What is Quantum Many?

# Quantum Many-Body Theory Calculation Application

A comprehensive iOS application for physicists, materials scientists, and researchers working with quantum many-body theory calculations.

## Features

### 1. Keldysh Closed Time Path (CTP) Analysis
- Calculate evolution operators for non-equilibrium quantum systems
- Compute two-point correlation functions
- Analyze time-ordered, retarded, and advanced correlation functions
- Support for custom Hamiltonian and operator inputs

### 2. Non-Equilibrium Green's Functions
- Calculate lesser, greater, retarded, and advanced Green's functions
- Compute Keldysh Green's functions
- Fourier transform between time and frequency domains
- Visualize Green's functions in both time and frequency representations

### 3. Quantum Master Equation Solver
- Solve Lindblad master equation for open quantum systems
- Numerical integration using Runge-Kutta 4th order method
- Calculate density matrix evolution
- Compute purity and von Neumann entropy
- Support for multiple Lindblad operators

### 4. Fluctuation-Dissipation Theorem Verification
- Verify quantum fluctuation-dissipation relations
- Calculate response functions (susceptibility)
- Compute correlation function spectra
- Compare response and correlation functions according to FDT

### 5. Open Quantum System Analysis
- Study system-environment coupling effects
- Calculate decoherence time (T2)
- Calculate relaxation time (T1)
- Analyze quantum fidelity decay
- Compute entanglement evolution using concurrence


## Version history (last 1 release)

### 1.0 — 2026-02-12

No release notes.

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-08-17.*