Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Continuous Charge Distributions01:17

Continuous Charge Distributions

7.2K
Imagine a bucket of water. It contains many molecules, of the order of 1026 molecules. Thus, although it contains discrete elements (molecules) at the microscopic level, macroscopically, it can be considered continuous. Small volume elements of water, infinitesimal compared to the bulk of the bucket's volume, still contain many molecules. Under this framework, quantized matter is approximated as continuous for practical purposes.
The electric charge can also be subjected to an analogical...
7.2K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

49.4K
The arrangement of electrons in the orbitals of an atom is called its electron configuration. We describe an electron configuration with a symbol that contains three pieces of information:
49.4K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

1.1K
Near absolute zero temperatures, in the presence of a magnetic field, the majority of nuclei prefer the lower energy spin-up state to the higher energy spin-down state. As temperatures increase, the energy from thermal collisions distributes the spins more equally between the two states. The Boltzmann distribution equation gives the ratio of the number of spins predicted in the spin −½ (N−) and spin +½ (N+) states.
1.1K
Thermal Sigmatropic Reactions: Overview01:16

Thermal Sigmatropic Reactions: Overview

2.1K
Sigmatropic rearrangements are a class of pericyclic reactions in which a σ bond migrates from one part of a π system to another. These are intramolecular rearrangements where the total number of σ and π bonds remain unchanged.
Sigmatropic shifts are classified based on an order term [i, j ], where i and j indicate the number of atoms across which each end of the σ bond migrates. Below are examples of a [3,3] sigmatropic shift in...
2.1K
The Quantum-Mechanical Model of an Atom02:45

The Quantum-Mechanical Model of an Atom

43.2K
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.
43.2K
Entropy Change in Reversible Processes01:10

Entropy Change in Reversible Processes

2.7K
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.
2.7K

You might also read

Related Articles

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

Sort by
Same author

Neural cell state modulation by <i>PARK2</i> and dopaminergic neuroprotection by small molecule Parkin agonism.

bioRxiv : the preprint server for biology·2026
Same author

The interplay between gamma delta (γδ) T cells and cellular stress pathways in the pathogenesis of emerging human viral zoonoses.

International review of cell and molecular biology·2025
Same author

Entangled States from Sparsely Coupled Spins for Metrology with Neutral Atoms.

Physical review letters·2025
Same author

Engineered chirality of one-dimensional nanowires.

Science advances·2025
Same author

Dengue virus modulates critical cell cycle regulatory proteins in human megakaryocyte cells.

Scientific reports·2025
Same author

Microbiology and Management of Neonatal Conjunctivitis Presenting to an Urban Australian Paediatric Hospital: An Eight-Year Retrospective Review.

Clinical & experimental ophthalmology·2025
Same journal

Erratum: Bacterial Turbulence at Compressible Fluid Interfaces [Phys. Rev. Lett. 136, 138301 (2026)].

Physical review letters·2026
Same journal

Unveiling Light-Quark Yukawa Flavor Structure via Dihadron Fragmentation at Lepton Colliders.

Physical review letters·2026
Same journal

Adaptable Route to Fast Coherent State Transport via Bang-Bang-Bang Protocols.

Physical review letters·2026
Same journal

Topological Transition and Emergence of Elasticity of Dislocation in Skyrmion Lattice: Beyond Kittel's Magnetic-Polar Analogy.

Physical review letters·2026
Same journal

Pound-Drever-Hall Method for Superconducting-Qubit Readout.

Physical review letters·2026
Same journal

Coupling a ^{73}Ge Nuclear Spin to an Electrostatically Defined Quantum Dot in Silicon.

Physical review letters·2026
See all related articles

Related Experiment Video

Updated: Sep 6, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

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

Published on: September 8, 2023

654

Density Matrix Renormalization Group for Continuous Quantum Systems.

Shovan Dutta1,2,3, Anton Buyskikh4, Andrew J Daley4

  • 1T.C.M. Group, Cavendish Laboratory, University of Cambridge, JJ Thomson Avenue, Cambridge CB3 0HE, United Kingdom.

Physical Review Letters
|June 24, 2022
PubMed
Summary
This summary is machine-generated.

We developed a new framework for quantum systems using matrix product states. This method accurately calculates properties like entanglement entropy, outperforming standard techniques for strongly interacting bosons.

More Related Videos

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.1K

Related Experiment Videos

Last Updated: Sep 6, 2025

Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit
05:30

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

Published on: September 8, 2023

654
Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
05:39

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform

Published on: August 2, 2019

9.7K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

9.1K

Area of Science:

  • Condensed Matter Physics
  • Quantum Field Theory
  • Computational Physics

Background:

  • Matrix product state (MPS) techniques are powerful for 1D quantum systems.
  • Applying MPS to continuous quantum systems presents significant challenges.
  • Existing numerical methods often rely on grid-based discretizations.

Purpose of the Study:

  • To introduce a versatile and practical framework for applying matrix product state techniques to continuous quantum systems.
  • To enable accurate calculation of ground-state properties directly in the continuum.
  • To demonstrate the framework's efficiency and applicability to complex physical phenomena.

Main Methods:

  • Dividing space into segments and generating continuous basis functions for many-body states.
  • Combining the continuous mapping with numerical density matrix renormalization group (DMRG) routines.
  • Applying the framework to a prototypical mesoscopic system of strongly interacting bosons.

Main Results:

  • Accurate computation of ground-state wave functions, spatial correlations, and spatial entanglement entropy.
  • Demonstrated faster convergence compared to standard grid-based discretization methods.
  • Successfully studied a superfluid-insulator transition in an external potential.

Conclusions:

  • The developed framework offers a versatile and practical approach for continuous quantum systems.
  • The method provides accurate results and improved convergence for strongly correlated systems.
  • The technique is applicable to a wide range of experimentally relevant problems in condensed matter and quantum field theory.