Related Experiment Video
Updated: Feb 15, 2026
14:49
Associated Chromosome Trap for Identifying Long-range DNA Interactions
Published on: April 23, 2011
15.0K
Quantum dynamics of long-range interacting systems using the positive-P and gauge-P representations
S Wüster1,2,3, J F Corney4, J M Rost1
1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Strasse 38, 01187 Dresden, Germany.
Physical Review. E
|January 20, 2018
Summary
We present a framework for stochastic simulations of bosonic systems with long-range interactions. Our methods extend simulation times by optimizing stochastic gauges, proving effective for large quantum systems.
Area of Science:
- Quantum mechanics
- Computational physics
- Many-body systems
Background:
- Stochastic simulations (positive-P and gauge-P) enable quantum system analysis without Hilbert space truncation.
- A key limitation is simulation time, restricted by interaction-induced noise.
Purpose of the Study:
- To develop a framework for stochastic simulations of bosonic systems with long-range interactions.
- To investigate methods for extending simulation times in these systems.
Main Methods:
- Utilizing stochastic positive-P and gauge-P simulations.
- Analyzing the impact of long-range interactions on simulation time limitations.
- Developing and applying optimized stochastic gauges (drift and diffusion).
Main Results:
- Long-range interactions do not inherently limit stochastic simulation times more than short-range ones.
- Stochastic gauge techniques effectively extend simulation times without altering physical observables.
- Drift gauges are optimal for small to medium systems, while diffusion gauges are best for large systems.
Conclusions:
- The developed framework provides essential tools for stochastic simulations of bosonic systems with long-range interactions.
- Optimized stochastic gauges significantly enhance the accessible simulation time, crucial for studying quantum dynamics.
Related Concept Videos
02:45The Quantum-Mechanical Model of an Atom
59.8K
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.
59.8K
02:43Quantum Numbers
52.4K
It is said that the energy of an electron in an atom is quantized; that is, it can be equal only to certain specific values and can jump from one energy level to another but not transition smoothly or stay between these levels.
52.4K
01:23Root Loci for Positive-Feedback Systems
354
The Hartley oscillator is a positive feedback system that sustains oscillations by feeding the output back to the input in phase, thereby reinforcing the signal. Positive feedback systems can be viewed as negative feedback systems with inverted feedback signals. In these systems, the root locus encompasses all points on the s-plane where the angle of the system transfer function equals 360 degrees.
The construction rules for the root locus in positive feedback systems are similar to those in...
The construction rules for the root locus in positive feedback systems are similar to those in...
354
02:32Variation: Normal Distribution, Range, and Standard Deviation
28.8K
In the field of psychology, there are several ways to organize measurements of a trait, feature, or characteristic (i.e., variables). Qualitative data, such as ethnicity, can be tabulated into a frequency count to provide information about the proportion, as well as the variety of groups in a sample or population. On the other hand, researchers can perform a wider set of calculations on quantitative data. The mean, mode, and median, for instance, are central tendency measures to identify a...
28.8K
01:20Pressure Gauges
5.9K
Most pressure gauges, like those on scuba tanks, are calibrated to read zero at atmospheric pressure. Readings from such gauges are called the gauge pressure, which is the pressure relative to atmospheric pressure. When the pressure inside the tank exceeds atmospheric pressure, the gauge reports a positive value. Some gauges are designed to measure negative pressure. For example, many physics experiments must take place in a vacuum chamber, a rigid chamber from which some of the air is pumped...
5.9K
01:27State Space Representation
617
The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
Consider an RLC circuit, a...
Consider an RLC circuit, a...
617