TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.121
TI  - Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
PY  - 2023/09/28
UR  - https://www.scipost.org/SciPostPhys.15.3.121
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 121
A1  - Chia, Andy
AU  - Mok, Wai-Keong (Dariel)
AU  - Noh, Changsuk
AU  - Kwek, Leong-Chuan
AB  - 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.
ER  -

@Article{10.21468/SciPostPhys.15.3.121,
	title={{Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity}},
	author={Andy Chia and Wai-Keong (Dariel) Mok and Changsuk Noh and Leong-Chuan Kwek},
	journal={SciPost Phys.},
	volume={15},
	pages={121},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.121},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.121},
}