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

Social Traps

Social traps are negative situations where people get caught in a direction or relationship that later proves to be unpleasant, with no easy way to back out of or avoid. The concept was orignally introduced by John Platt who applied psychology to Garrett Hardin's "Tragedy of the Commons", where in New England herd owners could let their cattle graze in the common ground. This situation seems like a good idea, but an individual could have an advantage. If they owned more cows, the larger...

Collisions in Multiple Dimensions: Problem Solving

Collisions in Multiple Dimensions: Problem Solving

In multiple dimensions, the conservation of momentum applies in each direction independently. Hence, to solve collisions in multiple dimensions, we should write down the momentum conservation in each direction separately. To help understand collisions in multiple dimensions, consider an example.
A small car of mass 1,200 kg traveling east at 60 km/h collides at an intersection with a truck of mass 3,000 kg traveling due north at 40 km/h. The two vehicles are locked together. What is the...

Stability of Equilibrium Configuration: Problem Solving

Stability of Equilibrium Configuration: Problem Solving

The stability of equilibrium configurations is an important concept in physics, engineering, and other related fields. In simple terms, it refers to the tendency of an object or system to return to its equilibrium position after being disturbed. The stability of an equilibrium configuration can be analyzed by considering the potential energy function of the system and examining its behavior near the equilibrium point.
Problem-solving in the context of the stability of equilibrium configuration...

Conservation of Energy in Control Volume

Conservation of Energy in Control Volume

Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:

Collisions in Multiple Dimensions: Introduction

Collisions in Multiple Dimensions: Introduction

It is far more common for collisions to occur in two dimensions; that is, the initial velocity vectors are neither parallel nor antiparallel to each other. Let's see what complications arise from this. The first idea is that momentum is a vector. Like all vectors, it can be expressed as a sum of perpendicular components (usually, though not always, an x-component and a y-component, and a z-component if necessary). Thus, when the statement of conservation of momentum is written for a problem,...

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Woodward–Hoffmann Selection Rules and Microscopic Reversibility

Electrocyclic reactions, cycloadditions, and sigmatropic rearrangements are concerted pericyclic reactions that proceed via a cyclic transition state. These reactions are stereospecific and regioselective. The stereochemistry of the products depends on the symmetry characteristics of the interacting orbitals and the reaction conditions. Accordingly, pericyclic reactions are classified as either symmetry-allowed or symmetry-forbidden. Woodward and Hoffmann presented the selection criteria for...

You might also read

Related Articles

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

Sort by

Same author

Generalized kicked rotor: Periodic forcing with finite-width pulses and the role of shifting the kick.

Physical review. E·2026

Same author

The robustness of composite pulses elucidated by classical mechanics: stability around the globe.

Physical chemistry chemical physics : PCCP·2025

Same author

The geometry of the classical action in phase space.

The Journal of chemical physics·2025

Same author

Exploring the role of chaos in model recollision processes.

The Journal of chemical physics·2025

Same author

Control of Overfitting with Physics.

Entropy (Basel, Switzerland)·2025

Same author

Correction: Morzhin, O.V.; Pechen, A.N. Control of the von Neumann Entropy for an Open Two-Qubit System Using Coherent and Incoherent Drives. <i>Entropy</i> 2024, <i>26</i>, 36.

Entropy (Basel, Switzerland)·2024

Search research articles

Related Experiment Video

Updated: Jun 2, 2026

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Are there traps in quantum control landscapes?

Alexander N Pechen¹, David J Tannor

¹Department of Chemical Physics, Weizmann Institute of Science, Rehovot 76100, Israel.

Physical Review Letters

|April 27, 2011

Summary

This summary is machine-generated.

Quantum control landscapes can exhibit trapping behavior due to special critical points, contrary to recent claims. This finding impacts theoretical and experimental quantum control studies.

More Related Videos

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

A Microfluidic-based Hydrodynamic Trap for Single Particles

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

Related Experiment Videos

Last Updated: Jun 2, 2026

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps

Published on: August 17, 2017

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

Published on: September 8, 2023

A Microfluidic-based Hydrodynamic Trap for Single Particles

A Microfluidic-based Hydrodynamic Trap for Single Particles

Published on: January 21, 2011

Area of Science:

Quantum physics
Quantum control theory

Background:

Recent interest in quantum control landscapes.
Dynamical landscapes are defined by the Hessian of an objective function J with respect to control fields ε at critical points (where the gradient δJ/δε = 0).

Purpose of the Study:

To investigate the existence of trapping behavior in quantum control landscapes.
To challenge recent literature claims regarding the nature of these landscapes.

Main Methods:

Analysis of the Hessian matrix (δ²J/δε²) at critical points (δJ/δε=0).
Illustration using a specific example: a 3-level Lambda (Λ) system.

Main Results:

Demonstration that quantum control landscapes can exhibit trapping behavior.
Identification of special critical points as the cause of this trapping.

Conclusions:

Contrary to recent assertions, quantum control landscapes are not always free of trapping.
The presence of trapping has significant implications for designing and executing quantum control protocols.