Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
Andy Chia, Wai-Keong (Dariel) Mok, Changsuk Noh, Leong-Chuan Kwek
SciPost Phys. 15, 121 (2023) · published 28 September 2023
- doi: 10.21468/SciPostPhys.15.3.121
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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.
Cited by 2
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 Andy Chia,
- 2 Wai-Keong (Dariel) Mok,
- 3 Changsuk Noh,
- 1 4 5 Leong-Chuan Kwek
- 1 Centre for Quantum Technologies [CQT]
- 2 National University of Singapore [NUS]
- 3 경북대학교 / Kyungpook National University [KNU]
- 4 Universiti Teknologi Nanyang / Nanyang Technological University [NTU]
- 5 UMI MajuLab
- Ministry of Education - Singapore
- National Research Foundation Singapore (NRF) (through Organization: National Research Foundation - Singapore [NRF])
- National Research Foundation of Korea [NRF]