Mediaspace scheduled maintenance: Aug 25, 2026 07:00 - 12:00 AM. During this time, videos will be temporarily unavailable. Check status updates.

Lecture

Quantum Simulation with nextnano

Description

This lecture introduces the nextnano software, a Schrödinger-Poisson solver for simulating complex nanostructures. It covers the input structure, material doping, and self-consistent solutions for Poisson, Drift-Diffusion, and Schrödinger Equations. The tutorial includes code examples and details on solving the Poisson equation to obtain charge density distribution and potential. It also explains the initialization, determination of potential, and visualization of output in nextnano.

Official source

Related concepts (32)

Quantum computing

A quantum computer is a computer that exploits quantum mechanical phenomena. At small scales, physical matter exhibits properties of both particles and waves, and quantum computing leverages this behavior, specifically quantum superposition and entanglement, using specialized hardware that supports the preparation and manipulation of quantum states. Classical physics cannot explain the operation of these quantum devices, and a scalable quantum computer could perform some calculations exponentially faster than any modern "classical" computer.

Convection–diffusion equation

The convection–diffusion equation is a combination of the diffusion and convection (advection) equations, and describes physical phenomena where particles, energy, or other physical quantities are transferred inside a physical system due to two processes: diffusion and convection. Depending on context, the same equation can be called the advection–diffusion equation, drift–diffusion equation, or (generic) scalar transport equation.

Quantum simulator

Quantum simulators permit the study of a quantum system in a programmable fashion. In this instance, simulators are special purpose devices designed to provide insight about specific physics problems. Quantum simulators may be contrasted with generally programmable "digital" quantum computers, which would be capable of solving a wider class of quantum problems. A universal quantum simulator is a quantum computer proposed by Yuri Manin in 1980 and Richard Feynman in 1982.

Charge density

In electromagnetism, charge density is the amount of electric charge per unit length, surface area, or volume. Volume charge density (symbolized by the Greek letter ρ) is the quantity of charge per unit volume, measured in the SI system in coulombs per cubic meter (C⋅m−3), at any point in a volume. Surface charge density (σ) is the quantity of charge per unit area, measured in coulombs per square meter (C⋅m−2), at any point on a surface charge distribution on a two dimensional surface.

Schrödinger equation

The Schrödinger equation is a linear partial differential equation that governs the wave function of a quantum-mechanical system. Its discovery was a significant landmark in the development of quantum mechanics. The equation is named after Erwin Schrödinger, who postulated the equation in 1925 and published it in 1926, forming the basis for the work that resulted in his Nobel Prize in Physics in 1933. Conceptually, the Schrödinger equation is the quantum counterpart of Newton's second law in classical mechanics.

Related lectures (32)

Introduction to nextnano: Simulation and Analysis

Covers the nextnano simulation software, focusing on input file structure, simulation process, and analysis methods.

Quantum Simulation: Fundamentals and Applications

Covers the fundamentals of quantum simulation, challenges in classical simulation, Trotter approximation, and applications in inelastic neutron scattering.

Quantum Chemistry Simulation

Discusses the need for Quantum Computers in simulating Quantum Chemistry and explores physically implementing them.

Materials Modelling: From Prediction to Design

Explores materials modelling, focusing on predicting and designing material properties through computation, including defect analysis, coherence time calculations, and quantum simulations.

Continuity Equations: Internal Entropy Production