Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
arXiv:2204.03267 · doi:10.21468/SciPostPhys.15.3.121
Abstract
It is universally accepted that noise may bring order to complex nonequilibrium systems. Most strikingly, entirely new states not seen in the noiseless system can be induced purely by including multiplicative noise -- an effect known as pure noise-induced transitions. It was first observed in superfluids in the 1980s. Recent results in complex nonequilibrium systems have also shown how new collective states emerge from such pure noise-induced transitions, such as the foraging behavior of insect colonies, and schooling in fish. Here we report such effects of noise in a quantum-mechanical system without a classical limit. We use a minimal model of a nonlinearly damped oscillator in a fluctuating environment that is analytically tractable, and whose microscopic physics can be understood. When multiplicative environmental noise is included, the system is seen to transition to a limit-cycle state. The noise-induced quantum limit cycle also exhibits other genuinely nonclassical traits, such as Wigner negativity and number-parity sensitive circulation in phase space. Such quantum limit cycles are also conservative. These properties are in stark contrast to those of a widely used limit cycle in the literature, which is dissipative and loses all Wigner negativity. Our results establish the existence of a pure noise-induced transition that is nonclassical and unique to open quantum systems. They illustrate a fundamental difference between quantum and classical noise.
Comments welcome. Supplementary material included
References in corpus (12)
- Statistical physics of social dynamics
- Collective behavior of interacting self-propelled particles
- A note on symmetry reductions of the Lindblad equation: transport in constrained open spin chains
- Analysis of quantum semigroups with GKS--Lindblad generators II. General
- Low-lying bifurcations in cavity quantum electrodynamics
- Wigner flow reveals topological order in quantum phase space dynamics
- Macroscopic limit cycle via pure noise-induced phase transition
- Oscillation collapse in coupled quantum van der Pol oscillators
- Noise-induced transition in a quantum system
- Quantum Turing bifurcation: Transition from quantum amplitude death to quantum oscillation death
- Turing instability in quantum activator-inhibitor systems
- Irreversible Circulation of Fluctuation and Entropy Production