Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Reaction Mechanisms: The Steady-State Approximation

Reaction Mechanisms: The Steady-State Approximation

The steady-state approximation, also referred to as the quasi-steady-state approximation to differentiate it from a true steady state, is a widely used method for simplifying calculations in complex reaction mechanisms. This approach is particularly useful when dealing with multi-step reactions that involve reverse reactions or several steps, which can significantly increase mathematical complexity and make the reactions nearly unsolvable analytically.The steady-state approximation operates on...

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

Behavior of Gas Molecules: Molecular Diffusion, Mean Free Path, and Effusion

Although gaseous molecules travel at tremendous speeds (hundreds of meters per second), they collide with other gaseous molecules and travel in many different directions before reaching the desired target. At room temperature, a gaseous molecule will experience billions of collisions per second. The mean free path is the average distance a molecule travels between collisions. The mean free path increases with decreasing pressure; in general, the mean free path for a gaseous molecule will be...

The Quantum-Mechanical Model of an Atom

The Quantum-Mechanical Model of an Atom

Shortly after de Broglie published his ideas that the electron in a hydrogen atom could be better thought of as being a circular standing wave instead of a particle moving in quantized circular orbits, Erwin Schrödinger extended de Broglie’s work by deriving what is now known as the Schrödinger equation. When Schrödinger applied his equation to hydrogen-like atoms, he was able to reproduce Bohr’s expression for the energy and, thus, the Rydberg formula governing hydrogen spectra. Schrödinger...

Entropy Change in Reversible Processes

Entropy Change in Reversible Processes

In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.

Reduced Mass Coordinates: Isolated Two-body Problem

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

Equilibrium Conditions for a Particle

Equilibrium Conditions for a Particle

When an object is in equilibrium, it is either at rest or moving with a constant velocity. There are two types of equilibrium: static and dynamic. Static equilibrium occurs when an object is at rest, while dynamic equilibrium occurs when an object is moving with a constant velocity. In both cases, there must be a balance of forces acting on the object.
To understand the concept of equilibrium, let us first consider the forces acting on an object. When different forces act on an object, they can...

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by

Same author

Self-Healing of Trotter Error in Digital Adiabatic State Preparation.

Physical review letters·2023

Same author

A fast quantum route to random numbers.

Nature·2023

Same author

Feedback-Based Quantum Optimization.

Physical review letters·2023

Same author

What Randomized Benchmarking Actually Measures.

Physical review letters·2018

Same author

Quantum Hamiltonian identification from measurement time traces.

Physical review letters·2014

Same author

Simulation of stochastic quantum systems using polynomial chaos expansions.

Physical review letters·2014

Search research articles

Related Experiment Video

Updated: May 18, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Reduced equations of motion for quantum systems driven by diffusive Markov processes.

Mohan Sarovar¹, Matthew D Grace

¹Department of Scalable and Secure Systems Research, Sandia National Laboratories, Livermore, California 94550, USA.

Physical Review Letters

|October 4, 2012

Summary

This study extends a simulation technique for quantum systems driven by stochastic processes, enabling analysis of non-Gaussian noise and bounded-range fluctuations in quantum dynamics.

More Related Videos

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Related Experiment Videos

Last Updated: May 18, 2026

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

An Analog Macroscopic Technique for Studying Molecular Hydrodynamic Processes in Dense Gases and Liquids

Published on: December 4, 2017

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

Area of Science:

Quantum mechanics
Stochastic processes
Atomic physics

Background:

Simulating quantum systems driven by stochastic processes is complex.
Existing techniques often rely on specific types of noise, like Gaussian processes.
The Ornstein-Uhlenbeck process is a common model for stochastic dynamics.

Purpose of the Study:

To generalize a technique for simulating stochastically driven quantum systems.
To characterize the class of diffusive Markov processes suitable for this technique.
To enable the study of quantum systems driven by non-Gaussian stochastic processes.

Main Methods:

Expanding the stochastic Liouville equation into a hierarchy of coupled differential equations.
Characterizing diffusive Markov processes for hierarchy derivation.
Applying the extended technique to simulate Stark-tuned Förster resonance transfer in Rydberg atoms.

Main Results:

A generalized method for simulating quantum systems with broader classes of stochastic driving processes.
The ability to analyze quantum systems influenced by non-Gaussian and bounded-range noise.
Successful simulation of Förster resonance transfer in Rydberg atoms with nonperturbative position fluctuations.

Conclusions:

The expanded technique significantly broadens the scope of stochastically driven quantum system simulations.
This approach allows for more realistic modeling of quantum phenomena influenced by complex noise.
The simulation of Rydberg atom dynamics demonstrates the practical utility of the extended method.