Related Experiment Video
Updated: Jun 10, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Attractive-repulsive interaction in coupled quantum oscillators
Bulti Paul1, Biswabibek Bandyopadhyay2, Tanmoy Banerjee1
1Chaos and Complex Systems Research Laboratory, Department of Physics, <a href="https://ror.org/05cyd8v32">University of Burdwan</a>, Burdwan, 713 104 West Bengal, India.
Abstract:
We study the emergent dynamics of quantum self-sustained oscillators induced by the simultaneous presence of attraction and repulsion in the coupling path. We consider quantum Stuart-Landau oscillators under attractive-repulsive coupling and construct the corresponding quantum master equation in the Lindblad form. We discover an interesting symmetry-breaking transition from quantum limit cycle oscillation to a quantum inhomogeneous steady state. This transition is contrary to the previously known symmetry-breaking transition from a quantum homogeneous state to an inhomogeneous steady state. The result is supported by the analysis on the noisy classical model of the quantum system in the weak quantum regime. Remarkably, we find the generation of entanglement associated with the symmetry-breaking transition that has no analog in the classical domain. This study enriches our understanding of the collective behaviors shown by coupled oscillators in the quantum domain.
Related Concept Videos
Oscillations about an Equilibrium Position
NMR Spectroscopy: Spin–Spin Coupling
¹H NMR: Long-Range Coupling
In alkenes, spin information is communicated via σ–π overlap, as seen in allylic (four-bond) and homoallylic (five-bond) couplings. These coupling interactions are stronger when the σ bond is parallel to the alkene...
Spin–Spin Coupling: Two-Bond Coupling (Geminal Coupling)
The central atom need not be NMR-active because its electrons are affected by the electron polarization of the spin-active atoms. However, spin information is transmitted less effectively than in one-bond coupling, and 2J values are usually weaker than 1J values. The energy of...
¹H NMR Signal Multiplicity: Splitting Patterns
The Quantum-Mechanical Model of an Atom

