Related Experiment Video
Updated: Mar 24, 2026
06:42
Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
9.8K
Multiconfigurational quantum propagation with trajectory-guided generalized coherent states.
Adriano Grigolo1, Thiago F Viscondi2, Marcus A M de Aguiar1
1Instituto de Física Gleb Wataghin, Universidade Estadual de Campinas, 777 Sérgio Buarque de Holanda, 13083-859 Campinas, Brazil.
The Journal of Chemical Physics
|March 10, 2016
Summary
A new generalized coupled coherent states method is introduced, extending beyond frozen-Gaussian basis sets. This advanced technique accurately propagates quantum states for systems with diverse properties like spin and indistinguishability.
Area of Science:
- Quantum mechanics
- Computational physics
- Mathematical physics
Background:
- The coupled coherent states method is a powerful tool for quantum state propagation.
- The original method was limited to frozen-Gaussian basis sets.
- Many quantum systems possess complex properties not captured by this limitation.
Purpose of the Study:
- To generalize the coupled coherent states method for arbitrary Lie groups.
- To extend the applicability of the method to systems with diverse physical properties.
- To provide a more versatile tool for quantum state propagation.
Main Methods:
- Development of a generalized coupled coherent states approach.
- Adaptation for arbitrary Lie groups.
- Application to systems with spin and particle indistinguishability.
Main Results:
- The extended method successfully propagates quantum states for systems with diverse physical properties.
- Demonstrated suitability for spin degrees of freedom and particle indistinguishability.
- Successfully applied to models of interacting bosons in double- and triple-well potentials.
Conclusions:
- The generalized coupled coherent states method offers enhanced versatility for quantum state propagation.
- The approach is well-suited for describing interacting bosons in various potential landscapes.
- This work expands the utility of coherent state methods in quantum many-body systems.
Related Concept Videos
01:26Orthogonal Trajectories
159
Orthogonal trajectories describe the geometric relationship between two families of curves that intersect each other at right angles. One illustrative case involves a family of parabolas that open sideways along the x-axis. These curves share a common shape but differ by a scaling parameter, resulting in a set of curves that all pass through the origin and widen at different rates.Determining Orthogonal TrajectoriesTo identify the orthogonal trajectories for these parabolas, the first step...
159
01:23Propagation of Action Potentials
13.5K
The propagation of an action potential refers to the process by which a nerve impulse, or "action potential," travels along a neuron.
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
Neurons (nerve cells) have a resting membrane potential, with a slightly negative charge inside compared to outside. This is maintained by ion channels, such as sodium (Na+) and potassium (K+) channels, which control the flow of ions. When a stimulus, like a touch or a signal from another neuron, triggers the neuron, sodium channels open, allowing sodium ions to...
13.5K
01:10Propagation of Uncertainty from Systematic Error
1.6K
The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
1.6K
01:07Propagation of Waves
3.2K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
3.2K
00:59Propagation of Uncertainty from Random Error
2.1K
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
2.1K
01:21Path Between Thermodynamics States
5.0K
Consider the two thermodynamic processes involving an ideal gas that are represented by paths AC and ABC in Figure 1:
5.0K