Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity

التفاصيل البيبلوغرافية
العنوان: Quantum pure noise-induced transitions: A truly nonclassical limit cycle sensitive to number parity
المؤلفون: Chia, A., Mok, W. -K., Noh, C., Kwek, L. C.
المصدر: SciPost Phys. 15, 121 (2023)
سنة النشر: 2022
المجموعة: Nonlinear Sciences
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Nonlinear Sciences - Adaptation and Self-Organizing Systems, Nonlinear Sciences - Chaotic Dynamics
الوصف: 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.
Comment: Comments welcome. Supplementary material included
نوع الوثيقة: Working Paper
DOI: 10.21468/SciPostPhys.15.3.121
URL الوصول: http://arxiv.org/abs/2204.03267
رقم الأكسشن: edsarx.2204.03267
قاعدة البيانات: arXiv
الوصف
DOI:10.21468/SciPostPhys.15.3.121