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The out-of-time order correlator (OTOC) has been widely studied in closed quantum systems. However, there are very few studies for open systems and they are mainly focused on isolating the effects of scrambling from those of decoherence.…

量子物理 · 物理学 2023-08-09 Pablo D. Bergamasco , Gabriel G. Carlo , Alejandro M. F. Rivas

Out-of-time-order correlators (OTOC), recently being the center of discussion on quantum chaos, are a tool to understand the information scrambling in different phases of quantum many-body systems. We propose a disordered ladder spin model,…

量子物理 · 物理学 2019-05-21 Ceren B. Dağ , L. -M. Duan

$Circuit~ Complexity$, a well known computational technique has recently become the backbone of the physics community to probe the chaotic behaviour and random quantum fluctuations of quantum fields. This paper is devoted to the study of…

Quantum many-body chaos concerns the scrambling of quantum information among large numbers of degrees of freedom. It rests on the prediction that out-of-time-ordered correlators (OTOCs) of the form $\langle [A(t),B]^2\rangle$ can be…

数学物理 · 物理学 2025-01-15 Marius Lemm , Simone Rademacher

We use out-of-time-order commutator (OTOC) to diagnose the propagation of chaos in one dimensional long-range power law interaction system. We map the evolution of OTOC to a classical stochastic dynamics problem and use a Brownian quantum…

统计力学 · 物理学 2019-08-12 Xiao Chen , Tianci Zhou

Using the parametric representation of a chaotic many-body quantum system derived earlier, we calculate explicitly the large-time dependence and asymptotic value of the out-of-time correlator (OTOC) of that system. The dependence on time…

数学物理 · 物理学 2025-05-12 Hans A. Weidenmüller

We investigate the dynamics of the out-of-time-ordered correlators (OTOCs) via a non-Hermitian extension of the quantum kicked rotor model, where the kicking potential satisfies $\mathcal{PT}$-symmetry. The spontaneous $\cal{PT}$-symmetry…

量子物理 · 物理学 2022-12-20 Wen-Lei Zhao , Ru-Ru Wang

Recently, the out-of-time-ordered correlator(OTOC) and Krylov complexity have been studied actively as a measure of operator growth. OTOC is known to exhibit exponential growth in chaotic systems, which was confirmed in many previous works.…

量子物理 · 物理学 2022-12-20 Seungjoo Baek

Two topics, evolving rapidly in separate fields, were combined recently: The out-of-time-ordered correlator (OTOC) signals quantum-information scrambling in many-body systems. The Kirkwood-Dirac (KD) quasiprobability represents operators in…

量子物理 · 物理学 2018-04-12 Nicole Yunger Halpern , Brian Swingle , Justin Dressel

In the study of quantum chaos, `out of time ordered correlators' (OTOCs) are commonly used to quantify the rate at which quantum information is scrambled. This rate has been conjectured by Maldecena et al. to obey a universal, temperature…

量子物理 · 物理学 2025-12-02 Andrew C. Hunt

We study characteristic, dynamic, and saturation regimes of the out-of-time-order correlation (OTOC) in the constant field Floquet system with and without longitudinal field. In the calculation of OTOC, we take local spins in longitudinal…

量子物理 · 物理学 2022-08-19 Rohit Kumar Shukla , Sunil Kumar Mishra

We analyze the gapped phase of the Kitaev honeycomb model perturbatively in the isolated-dimer limit. Our analysis is based on the continuous unitary transformations method which allows one to compute the spectrum as well as matrix elements…

其他凝聚态物理 · 物理学 2009-01-13 J. Vidal , K. P. Schmidt , S. Dusuel

We show that the out-of-time-order correlation (OTOC) $ \langle W(t)^\dagger V(0)^\dagger W(t)V(0)\rangle$ in many-body localized (MBL) and marginal MBL systems can be efficiently calculated by the spectrum bifurcation renormalization group…

强关联电子 · 物理学 2017-05-03 Kevin Slagle , Zhen Bi , Yi-Zhuang You , Cenke Xu

The out-of-time-ordered correlation (OTOC) function is an important new probe in quantum field theory which is treated as a significant measure of random quantum correlations. In this paper, with the slogan "Cosmology meets Condensed Matter…

高能物理 - 理论 · 物理学 2020-09-17 Sayantan Choudhury

The out-of-time ordered correlator (OTOC) has become a popular probe for quantum information spreading and thermalization. In systems with local interactions, the OTOC defines a characteristic butterfly lightcone that separates a regime not…

量子物理 · 物理学 2024-11-13 Cheryne Jonay , Cathy Li , Tianci Zhou

Probing the out-of-equilibrium dynamics of quantum matter has gained renewed interest owing to immense experimental progress in artifcial quantum systems. Dynamical quantum measures such as the growth of entanglement entropy (EE) and…

无序系统与神经网络 · 物理学 2018-04-04 Pranjal Bordia , Fabien Alet , Pavan Hosur

The out-of-time-order correlators (OTOCs) is used to study the quantum phase transitions (QPTs) between the normal phase and the superradiant phase in the Rabi and few-body Dicke models with large frequency ratio of theatomic level…

量子物理 · 物理学 2020-02-18 Zheng-Hang Sun , Jia-Qi Cai , Qi-Cheng Tang , Yong Hu , Heng Fan

Random quantum circuits yield minimally structured models for chaotic quantum dynamics, able to capture for example universal properties of entanglement growth. We provide exact results and coarse-grained models for the spreading of…

强关联电子 · 物理学 2018-04-18 Adam Nahum , Sagar Vijay , Jeongwan Haah

There has been recent progress in understanding chaotic features in many-body quantum systems. Motivated by the scrambling of information in black holes, it has been suggested that the time dependence of out-of-time-ordered (OTO)…

量子物理 · 物理学 2016-12-28 Guanyu Zhu , Mohammad Hafezi , Tarun Grover

We propose a physical witness for dynamically detecting topological phase transitions (TPTs) via an experimentally observable out-of-time-order correlation (OTOC). The distinguishable OTOC dynamics appears in the topological trivial and…

量子物理 · 物理学 2023-02-14 Qian Bin , Liang-Liang Wan , Franco Nori , Ying Wu , Xin-You Lü