Related Experiment Video
Updated: Mar 22, 2026
11:45
Experimental Methods for Trapping Ions Using Microfabricated Surface Ion Traps
Published on: August 17, 2017
15.5K
Exotic Attractors of the Nonequilibrium Rabi-Hubbard Model
M Schiró1, C Joshi2,3, M Bordyuh4
1Institut de Physique Théorique, Université Paris Saclay, CNRS, CEA, F-91191 Gif-sur-Yvette, France.
Physical Review Letters
|April 23, 2016
Summary
We mapped the phase diagram of a dissipative Rabi-Hubbard model, revealing exotic attractors like ferroelectric and antiferroelectric states. These findings, confirmed by simulations, offer insights into quantum systems.
Area of Science:
- Quantum optics
- Condensed matter physics
- Open quantum systems
Background:
- The Rabi-Hubbard model describes interacting quantum particles in a lattice.
- Dissipative systems introduce energy loss, leading to complex behaviors.
- Coupled cavity arrays offer a platform for simulating such models.
Purpose of the Study:
- To investigate the phase diagram of the dissipative Rabi-Hubbard model.
- To explore exotic attractors and oscillatory regions.
- To understand the role of Raman pumping in coupled cavity arrays.
Main Methods:
- Analytical exploration using truncated Rabi models.
- Numerical simulations employing matrix product operator (MPO) techniques.
- Realization via Raman-pumping schemes in coupled cavity arrays.
Main Results:
- Identification of diverse attractors: ferroelectric, antiferroelectric, and incommensurate fixed points.
- Observation of regions exhibiting persistent oscillations.
- Analytical understanding derived from the two lowest-lying states approximation.
- Validation of key features beyond mean-field theory through MPO simulations.
Conclusions:
- The dissipative Rabi-Hubbard model exhibits rich phase diagrams with exotic attractors.
- Analytical and numerical methods confirm the model's complex dynamics.
- Coupled cavity arrays provide a viable experimental platform for these quantum phenomena.
Related Concept Videos
01:23Atomic Nuclei: Nuclear Relaxation Processes
1.4K
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.
1.4K
01:14Atomic Nuclei: Nuclear Spin State Population Distribution
2.6K
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.
2.6K
01:04Oscillations about an Equilibrium Position
7.2K
Stability is an important concept in oscillation. If an equilibrium point is stable, a slight disturbance of an object that is initially at the stable equilibrium point will cause the object to oscillate around that point. For an unstable equilibrium point, if the object is disturbed slightly, it will not return to the equilibrium point. There are three conditions for equilibrium points—stable, unstable, and half-stable. A half-stable equilibrium point is also unstable, but is named so...
7.2K
01:23Stability of Equilibrium Configuration
936
Understanding the stability of equilibrium configurations is a fundamental part of mechanical engineering. In any system, there are three distinct types of equilibrium: stable, neutral, and unstable.
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
A stable equilibrium occurs when a system tends to return to its original position when given a small displacement, and the potential energy is at its minimum. An example of a stable equilibrium is when a cantilever beam is fixed at one end and a weight is attached to the other end. If the weight...
936
03:25Free Energy Changes for Nonstandard States
13.8K
The free energy change for a process taking place with reactants and products present under nonstandard conditions (pressures other than 1 bar; concentrations other than 1 M) is related to the standard free energy change according to this equation:
13.8K
02:18The Bohr Model
82.9K
Following the work of Ernest Rutherford and his colleagues in the early twentieth century, the picture of atoms consisting of tiny dense nuclei surrounded by lighter and even tinier electrons continually moving about the nucleus was well established. This picture was called the planetary model since it pictured the atom as a miniature “solar system” with the electrons orbiting the nucleus like planets orbiting the sun. The simplest atom is hydrogen, consisting of a single proton as the...
82.9K