Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators.

  title={Kerr nonlinearity hinders symmetry-breaking states of coupled quantum oscillators.},
  author={Biswabibek Bandyopadhyay and Tanmoy Banerjee},
  journal={Physical review. E},
  volume={106 2-1},
We study the effect of Kerr anharmonicity on the symmetry-breaking phenomena of coupled quantum oscillators. Two types of symmetry-breaking processes are studied, namely, the inhomogeneous steady state (or quantum oscillation death state) and quantum chimera state. Remarkably, it is found that Kerr nonlinearity hinders the process of symmetry breaking in both the cases. We establish our results using direct simulation of the quantum master equation and analysis of the stochastic semiclassical… 
1 Citations

Figures from this paper

Aging transition in coupled quantum oscillators

Aging transition is an emergent behavior observed in networks consisting of active (self-oscillatory) and inactive (non self-oscillatory) nodes, where the network transits from a global oscillatory



Quantum signatures of chimera states.

The quantum fluctuations about semiclassical trajectories are calculated and it is demonstrated that chimera states in the quantum regime can be characterized by bosonic squeezing, weighted quantum correlations, and measures of mutual information.

Turing instability in quantum activator–inhibitor systems

Turing instability is a fundamental mechanism of nonequilibrium self-organization. However, despite the universality of its essential mechanism, Turing instability has thus far been investigated

Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death.

This study explores the paradigmatic Turing bifurcation at the quantum-classical interface and opens up the door toward its broader understanding.

Revival of oscillation and symmetry breaking in coupled quantum oscillators.

This study establishes that the revival scheme proposed for classical systems does not always result in restoration of oscillations in quantum systems, but in the deep quantum regime, it may give counterintuitive behaviors that are of a pure quantum mechanical origin.

Quantum manifestations of homogeneous and inhomogeneous oscillation suppression states.

Surprisingly, it is found that the inhomogeneous oscillation suppression state (or the oscillation death state) does not occur in the quantum oscillators in the classical limit, but in the deep quantum regime, an oscillationDeath-like state is discovered which is manifested in the phase space through the symmetry-breaking bifurcation of the Wigner function.

Chimera Patterns in Networks

Quantum synchronization on the IBM Q system

The results show that state-of-the-art noisy intermediate-scale quantum computers are powerful enough to implement realistic dissipative quantum systems and limitations of current quantum hardware are discussed.

Observation of Quantum Phase Synchronization in Spin-1 Atoms.

In experiments with dilute ensemble of laser cooled spin-1 ^{87}Rb atoms, phase difference of spin coherences to synchronize with phases of external classical fields is observed and a blockade of synchronization due to quantum interference and emergence of Arnold-tongue-like features is observed.