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

Reduced Mass Coordinates: Isolated Two-body Problem01:12

Reduced Mass Coordinates: Isolated Two-body Problem

2.3K
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...
2.3K
The de Broglie Wavelength02:32

The de Broglie Wavelength

32.9K
In the macroscopic world, objects that are large enough to be seen by the naked eye follow the rules of classical physics. A billiard ball moving on a table will behave like a particle; it will continue traveling in a straight line unless it collides with another ball, or it is acted on by some other force, such as friction. The ball has a well-defined position and velocity or well-defined momentum, p = mv, which is defined by mass m and velocity v at any given moment. This is the typical...
32.9K
The Pauli Exclusion Principle03:06

The Pauli Exclusion Principle

58.8K
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:
58.8K
The Uncertainty Principle04:08

The Uncertainty Principle

31.2K
Werner Heisenberg considered the limits of how accurately one can measure properties of an electron or other microscopic particles. He determined that there is a fundamental limit to how accurately one can measure both a particle’s position and its momentum simultaneously. The more accurate the measurement of the momentum of a particle is known, the less accurate the position at that time is known and vice versa. This is what is now called the Heisenberg uncertainty principle. He...
31.2K
Atomic Nuclei: Nuclear Spin State Population Distribution01:14

Atomic Nuclei: Nuclear Spin State Population Distribution

2.3K
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.
2.3K
Atomic Nuclei: Nuclear Relaxation Processes01:23

Atomic Nuclei: Nuclear Relaxation Processes

1.2K
In the absence of an external magnetic field, nuclear spin states are degenerate and randomly oriented. When a magnetic field is applied, the spins begin to precess and orient themselves along (lower energy) or against (higher energy) the direction of the field. At equilibrium, a slight excess population of spins exists in the lower energy state. Because the direction of the magnetic field is fixed as the z-axis,  the precessing magnetic moments are randomly oriented around the z-axis.
1.2K

You might also read

Related Articles

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

Sort by
Same author

Correction: Association between radiation volume and breast density for skin toxicity and breast edema after radiotherapy in breast conserving therapy of breast cancer.

Radiation oncology (London, England)·2026
Same author

Prediction of high-dose regions in the jaw as a basis for decision-making in dental rehabilitation prior to radiotherapy in the head and neck area.

Clinical and translational radiation oncology·2026
Same author

How do you handle post-radiotherapy follow-up care? Results of a national pattern-of-care study.

Strahlentherapie und Onkologie : Organ der Deutschen Rontgengesellschaft ... [et al]·2026
Same author

Supportive Care for HDR Brachytherapy in Gynecological Cancer: A Single Center Experience.

In vivo (Athens, Greece)·2026
Same author

Quasiparticle Interference of Spin-Triplet Superconductors: Application to UTe_{2}.

Physical review letters·2025
Same author

Impact of Hemoglobin Levels During Definite Chemoradiotherapy of Patients with Locally Advanced Head and Neck Squamous Cell Carcinoma on Survival.

Medicina (Kaunas, Lithuania)·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: Jan 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.8K

Reduced Basis Method for Driven-Dissipative Quantum Systems.

Hans Christiansen1, Virgil V Baran2,3, Jens Paaske1

  • 1University of Copenhagen, Center for Quantum Devices, Niels Bohr Institute, 2100 Copenhagen, Denmark.

Physical Review Letters
|December 19, 2025
PubMed
Summary
This summary is machine-generated.

Reduced basis methods now efficiently map quantum system phase diagrams, even for driven-dissipative systems. This approach enables reliable computation of observables and identification of phase boundaries.

More Related Videos

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

9.6K
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

10.2K

Related Experiment Videos

Last Updated: Jan 8, 2026

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving
11:21

Cooling an Optically Trapped Ultracold Fermi Gas by Periodical Driving

Published on: March 30, 2017

7.8K
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

9.6K
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

10.2K

Area of Science:

  • Quantum Physics
  • Computational Physics

Background:

  • Reduced basis methods efficiently map phase diagrams for strongly correlated many-body quantum systems.
  • These methods use exact solutions at select parameters to build a low-dimensional basis for reliable observable computation.

Purpose of the Study:

  • Generalize reduced basis methods to driven-dissipative Markovian systems.
  • Enable efficient computation of observables in both transient and steady states.
  • Develop an unbiased method for exploring parameter dependencies and phase boundaries.

Main Methods:

  • Applied reduced basis methods to driven-dissipative Markovian systems.
  • Constructed a low-dimensional basis from exact solutions at select parameter values.
  • Utilized explained variance for distilling reduced basis vectors.

Main Results:

  • Successfully generalized reduced basis methods for driven-dissipative systems.
  • Achieved efficient computation of observables in transient and steady states.
  • Identified pronounced parameter dependencies indicating phase boundaries.

Conclusions:

  • Reduced basis methods offer an efficient approach for analyzing complex quantum systems.
  • The generalized method allows for accurate phase diagram mapping and boundary identification.
  • Distillation of basis vectors provides unbiased exploration of system dynamics.