Article
Physics, Multidisciplinary
D. R. Masovic
Summary: The atto-KR, which uses an attosecond pulse train as a kicking field, is a more realistic version of the kicked rotor that takes into account the real form of the kicking field in experiments. It is examined from both classical and quantum aspects, showing satisfactory results in quantum cases and proposing a new map for classical experiments with chaos. The atto-KR can be used to study the influence of quantum effects on classical chaos and diffusion.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Physics, Fluids & Plasmas
Mengyao Li, Yingying Xiao, Yongchun Tao, Yi Gao, Peiqing Tong
Summary: Inspired by recent progress in quantum chaos, this study investigates the energy diffusion of a kicked rotor under phase modulation. It finds that classical phase modulation leads to anomalous diffusion, while quantum phase modulation destroys coherence and suppresses dynamical localization. Quasiperiodic phase modulation is an intermediate phase between the standard and random cases.
Article
Multidisciplinary Sciences
Wenlei Zhao, Huiqian Zhang
Summary: We investigate the quantum irreversibility and quantum diffusion in a non-Hermitian kicked rotor model with complex kicking strength. The results show that increasing the strength of the imaginary part of the non-Hermitian potential suppresses the exponential decay of the Loschmidt echo and enhances dynamical localization. Quantum diffusion exhibits dynamical localization in momentum space, and the mean square of momentum increases to saturation with time evolution but decreases with the increase of the imaginary part of the kicking strength. The quantum state is mainly populated on a few quasieigenstates with a large imaginary part of quasienergies, and the stability of wavepacket's dynamics and the dynamical localization of energy diffusion are determined by the feature of quasieigenstates.
Article
Optics
Nikolai Bolik, Caspar Groiseau, Jerry H. Clark, Gil S. Summy, Yingmei Liu, Sandro Wimberger
Summary: We present a concrete theoretical proposal for detecting topological phase transitions in double kicked atom-optics kicked rotors with internal spin-1/2 degree of freedom. The method utilizes a kicked Bose-Einstein condensate evolving in one-dimensional momentum space and takes into account experimental limitations. Our results suggest that our proposed method provides a feasible and optimized way to observe topological phase transitions in quantum kicked rotors.
Article
Mathematics
Yunfeng Shi, Li Wen
Summary: In this paper, we investigate lattice quasi-periodic operators with power-law long-range hopping and meromorphic monotone potentials. We diagonalize the operators using a Nash-Moser iteration scheme. As applications, we establish uniform power-law localization, uniform dynamical localization, and Lipschitz continuity of the integrated density of states (IDS) for such operators. Our main motivation is to study quantum suppression of chaos in a quantum kicked rotor model with a non-analytic potential.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2023)
Review
Physics, Multidisciplinary
M. S. Santhanam, Sanku Paul, J. Bharathi Kannan
Summary: The kicked rotor model is an important template for studying chaos and quantum chaos, with wide applications in nonlinear dynamics, quantum information, and other fields. Various problems can be addressed in the kicked rotor and its variants models, including complex system dynamics, resonant dynamics, and the relationship between quantum correlations and chaos.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2022)
Article
Physics, Multidisciplinary
Tomohiro Mano, Tomi Ohtsuki
Summary: This study utilizes CNN and LSTM to analyze quantum phases in random electron systems, obtaining phase diagrams for Anderson transitions, quantum percolations, and disordered topological systems.
Article
Physics, Fluids & Plasmas
Ramgopal Agrawal, Akhilesh Pandey, Sanjay Puri
Summary: In this study, the breaking of time-reversal invariance in the quantum kicked rotor by the application of a magnetic field was investigated using a finite-dimensional model. The transition from time-reversal invariance to noninvariance in the spectral and eigenvector fluctuations of the quantum kicked rotor was found to be dependent on the ratio of alpha 2/N, where alpha represents the chaos parameter and N is the dimensionality of the evolution operator matrix. The speed of this transition significantly increases as alpha 2/N decreases, showing deviations from random matrix theory in certain cases.
Article
Physics, Fluids & Plasmas
S. Sagar Maurya, Kushal Patel, Pranab Dutta, Korak Biswas, Jay Mangaonkar, M. S. Santhanam, Umakant D. Rapol
Summary: In this paper, an experimentally modified version of the atom-optics kicked rotor system is implemented to study the interplay between localized and diffusive phases. The results show a combination of enhanced diffusion and asymptotic localization, which is explained by the competition between standard kicked rotor type kicks and half Talbot time evolution.
Article
Physics, Multidisciplinary
Adrian Ortega, Thomas Gorin, Craig S. Hamilton
Summary: In this study, we investigate the competition between two interference effects in the quantum kicked rotor model, where the combined dynamics show localization at much larger times and with much larger localization lengths than predicted.
Article
Physics, Multidisciplinary
Zhixing Zou, Jiao Wang
Summary: The kicked rotor and the kicked top are two examples of quantum chaos, and the concepts of quantum resonance and pseudoclassical limit in their study reveal the intriguing correspondence between classical and quantum dynamics. By extending these concepts to the kicked top, a more thorough understanding of its dynamic behavior, particularly entanglement entropy, can be achieved.
Editorial Material
Physics, Multidisciplinary
Fengdi Wang, Ping Fang
Summary: This paper presents a theoretical investigation into the existence of acceleration islands in the phase space of double-kicked rotor (DKR) systems, which can result in superdiffusive behavior. The conditions for the existence of period-1 acceleration centers are established, and the stability conditions for both period-1 and period-2 accelerate mode islands are subsequently calculated. A detailed analysis of local and global diffusion in the vicinity of the islands and the stickiness regions is provided. These findings offer a foundation for future exploration of quantum dynamics in the DKR system.
Article
Physics, Multidisciplinary
Wen-Lei Zhao, Ru-Ru Wang
Summary: We investigate the dynamics of out-of-time-order correlators (OTOCs) in a non-Hermitian extension of the quantum kicked rotor model with PT-symmetry breaking. We find that in the broken PT-symmetry phase, the OTOCs rapidly saturate with time evolution and the saturation value scales as a power-law in the system size. This scaling law is a result of the interplay between the effects of nonlocal operators in OTOCs and the time reversal induced by the non-Hermitian-driven potential.
FRONTIERS IN PHYSICS
(2023)
Article
Engineering, Aerospace
Haiming Yi, Lei Hou, Peng Gao, Yushu Chen
Summary: This paper investigates the nonlinear resonance characteristics of a dual-rotor system with a local defect on the inner ring of the inter-shaft bearing. The abnormal resonance peaks are caused by combined resonance related to the inner ring fault and the rotational speed of rotors, as well as induced resonance of the inner ring fault. Changes in defect parameters, rotors and support parameters, and inter-shaft bearing parameters lead to corresponding changes in the system's resonance behavior.
CHINESE JOURNAL OF AERONAUTICS
(2021)
Article
Physics, Condensed Matter
Wen-Yuan Wang, Wen-Lei Zhao
Summary: We investigate the impact of non-Hermiticity on quantum coherence using a noisy quantum kicked rotor (NQKR). Random noise from kick amplitude fluctuations destroys quantum coherence, but the presence of non-Hermitian kicking potential can restore it by interacting with gain and loss. By studying the phase diagram of classical diffusion and dynamical localization, we find that the localization arises from interference between multiple quasi-eigenstates of the quantum kicked rotor. This research provides insight into the restoration of quantum coherence and suggests an experimental scheme to study NQKR in a dissipative cold atomic gas.
JOURNAL OF PHYSICS-CONDENSED MATTER
(2022)
