检索结果-南通市图书馆

geometric phase in a Time-Dependent A-Type Jaynes-Cummings Model

在线全文

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2009年第3期51卷 407-410页

作者： QIN Xian-Ming YU Zbao-Xian JIAO Zhi-Yong XIE Bing-Hao Department of Mathematics and Physics Chongqing University of Science and Technology Chongqing 400042 China Department of Physics Beijing Information Science and Technology University Beijing 100192 China Department of Physics China University of Petroleum （East China） Dongying 257061 China

By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent A-type Jaynes Cummings model. We lind that, compared with the dynamical phases, the geometric phases in a cycle case are independent of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency. It is pointed out that the geometric phases in a cycle ease can be measured under the case of a stronger time-dependent photon field and a stronger coupling photon-atom system. On the other hand, the geometric phases of the model may be measured in the composition of cold atoms.

关键词： geometric phase generalized Jaynes-Cummings model

Nonadiabatic geometric phase in a doubly driven two-level system

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2023年第5期32卷 314-320页

作者：刘伟新汪涛李卫东 Institute of Theoretical Physics and Department of Physics State Key Laboratory of Quantum Optics and Quantum Optics DevicesCollaborative Innovation Center of Extreme OpticsShanxi UniversityTaiyuan 030006China Department of Physics and Center of Quantum Materials and DevicesChongqing UniversityChongqing 401331China Chongqing Key Laboratory for Strongly Coupled Physics Chongqing 401331China Shenzhen Key Laboratory of Ultraintense Laser and Advanced Material Technology Center for Advanced Material Diagnostic Technologyand College of Engineering PhysicsShenzhen Technology UniversityShenzhen 518118China

We study theoretically the nonadiabatic geometric phase of a doubly driven two-level system with an additional relative phase between the two driving modes introduced in. It is shown that the time evolution of the system strongly depends on this relative phase. The condition for the system returning to its initial state after a single period is given by the means of the Landau–Zener–Stückelberg–Majorana destructive interference. The nonadiabatic geometric phase accompanying a cyclic evolution is shown to be related to the Stokes phase as well as this relative phase. By controlling the relative phase, the geometric phase can characterize two distinct phases in the adiabatic limit.

关键词： two-level system geometric phase Landau–Zener–Stückelberg–Majorana interference

On the geometric phase in the spatial equilibria of nonlinear rods

在线全文

学校读者我要写书评

暂无评论

Acta Mechanica Sinica 2017年第2期33卷 457-471页

作者： Peinan Zhong Guojun Huang Guowei Yang Key Laboratory for Mechanics in Fluid Solid Coupling Systems Institute of MechanicsChinese Academy of Sciences School of Engineering Science University of Chinese Academy of Science

geometric phases have natural manifestations in large deformations of geometrically exact rods. The primary concerns of this article are the physical implications and observable consequences of geometric phases arising from the deformed patterns exhibited by a rod subjected to end moments. This mechanical problem is classical and has a long tradition dating back to Kirchhoff. However, the perspective from geometric phases seems to go more deeply into relations between local strain states and global geometry of shapes, and infuses genuinely new insights and better understanding, which enable one to describe this kind of deformation in a neat and elegant way. On the other hand, visual representations of these deformations provide beautiful illustrations of geometric phases and render the meaning of the abstract concept of holonomy more direct and transparent.

关键词： geometric exact rod geometric phase Rotation group Kirchhoff analogy

3D nano-printed geometric phase metasurfaces for generating accelerating beams with complex amplitude manipulation

在线全文

学校读者我要写书评

暂无评论

Science China(Physics,Mechanics & Astronomy) 2024年第6期67卷 86-95页

作者： Tianchen Tang Saima Kanwal Yongzheng Lu Yuelong Li Shuangbao Wu Lei Chen Ziheng Qian Zhouyu Xie Jing Wen Dawei Zhang Research Center of Optical Instrument and System Ministry of Education and Shanghai Key Lab of Modern Optical SystemUniversity of Shanghai for Science and TechnologyShanghai 200093China

Metasurface,a forefront in emerging optical devices,has demonstrated remarkable potential for complex amplitude manipulation of light ***,prevailing approaches face challenges in spatial resolution and complexities associated with integrating dynamic phases,impeding the simplified design and reproducible fabrication of ***,we introduce an innovative approach for complex amplitude modulation within 3D nano-printed geometric phase *** approach enables the generation of self-accelerating beams by encoding amplitude through phase-only manipulation,achieving high spatial ***,this method circumvents the conventional need to adjust the geometric parameters of metasurface unit structures for amplitude manipulation,offering a streamlined and efficient route for design and fabrication *** novel methodology holds promise for expedited and low-cost manufacturing of complex amplitude manipulation metasurfaces.

关键词： metasurface complex amplitude manipulation geometric phase 3D nano-printing Airy beam accelerating parabolic beam

Critical entanglement and geometric phase of a two-qubit model with Dzyaloshinski-Moriya anisotropic interaction

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2010年第1期19卷 51-55页

作者：李志坚程璐温姣进 Institute of Theoretical Physics and Department of Physics Shanxi University

We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski Moriya （DM） anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition （QPT）. It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.

关键词： entanglement geometric phase quantum phase transition

Fidelity susceptibility and geometric phase in critical phenomenon

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2011年第4期20卷 38-43页

作者：田立君朱长青张宏标秦立国 Department of Physics Shanghai University Shanghai Key Laboratory for Astrophysics Institute of Theoretical Physics Northeast Normal University

Motivated by recent developments in quantum fidelity and fidelity susceptibility, we study relations among Lie algebra, fidelity susceptibility and quantum phase transition for a two-state system and the Lipkin-Meshkov Glick model. We obtain the fidelity susceptibilities for SU（2） and SU（1, 1） algebraic structure models. From this relation, the validity of the fidelity susceptibility to signal for the quantum phase transition is also verified in these two systems. At the same time, we obtain the geometric phases in these two systems by calculating the fidelity susceptibility. In addition, the new method of calculating fidelity susceptibility is used to explore the two-dimensional XXZ model and the Bose-Einstein condensate （BEC）.

关键词： fidelity susceptibility geometric phase quantum phase transition

Induced modification of the geometric phase of a qubit coupled to an XY spin chain by Dzyaloshinsky-Moriya interaction

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2013年第3期22卷 152-157页

作者：张爱萍李福利 Key Laboratory for Nonequilibrium Synthesis and Modulation of Condensed Matter of Ministry of Education Xi'an Jiaotong University Department of Applied Physics Xi'an Jiaotong University Department of Physics Xi'an University of Architecture and Technology

We consider a qubit symmetrically and transversely coupled to an XY spin chain with Dzyaloshinsky-Moriya（DM） interaction in the presence of a transverse magnetic *** analytical expression for the geometric phase of the qubit is obtained in the weak coupling *** find that the modification of the geometrical phase induced by the spin chain environment is greatly enhanced by DM interaction in the weak coupling limit around the quantum phase transition point of the spin chain.

关键词： geometric phase quantum phase transition XY spin chain Dzyaloshinsky-Moriya interaction

Observation of geometric phase in a dispersively coupled resonator-qutrit system

在线全文

学校读者我要写书评

暂无评论

Chinese Physics B 2018年第7期27卷 133-137页

作者： Libo Zhang Chao Song H Wang Shi-Biao Zheng Department of Physics Zhejiang UniversityHangzhou 310027China Fujian Key Laboratory of Quantum Information and Quantum Optics College of Physics and Information EngineeringFuzhou University.Fuzhou 350116China

We present an experiment of observing the geometric phase in a superconducting circuit where the resonator and the qutrit energy levels are dispersively coupled. The drive applied to the resonator displaces its state components associated with the qutrit＇s ground state and first-excited state along different circular trajectories in phase space. We identify the resonator＇s phase-space trajectories by Wigner tomography using an ancilla qubit, following which we observe the difference between the geometric phases associated with these trajectories using Ramsey interferometry. This geometric phase is further used to construct the single-qubit It-phase gate with a process fidelity of 0.851± 0.001.

关键词： geometric phase superconducting circuit Wigner tomography

The geometric phase in nonlinear frequency conversion

在线全文

学校读者我要写书评

暂无评论

Frontiers of physics 2022年第1期17卷 7-37页

作者： Aviv Karnieli Yongyao Li Ady Arie Raymond and Beverly Sackler School of Physics and Astronomy Tel Aviv UniversityRamat Aviv69978Tel AvivIsrael School of Physics and Optoelectronic Engineering Foshan UniversityFoshan528000China School of Electrical Engineering Fleischman Faculty of EngineeringTel Aviv UniversityTel AvivIsrael

The geometric phase of light has been demonstrated in various platforms of the linear optical regime, raising interest both for fundamental science as well as applications, such as flat optical elements. Recently, the concept of geometric phases has been extended to nonlinear optics, following advances in engineering both bulk nonlinear photonic crystals and nonlinear metasurfaces. These new technologies offer a great promise of applications for nonlinear manipulation of light. In this review, we cover the recent theoretical and experimental advances in the field of geometric phases accompanying nonlinear frequency conversion. We first consider the case of bulk nonlinear photonic crystals, in which the interaction between propagating waves is quasi-phase-matched, with an engineerable geometric phase accumulated by the light. Nonlinear photonic crystals can offer efficient and robust frequency conversion in both the linearized and fully-nonlinear regimes of interaction, and allow for several applications including adiabatic mode conversion, electromagnetic nonreciprocity and novel topological effects for light. We then cover the rapidly-growing field of nonlinear Pancharatnam-Berry metasurfaces, which allow the simultaneous nonlinear generation and shaping of light by using ultrathin optical elements with subwavelength phase and amplitude resolution. We discuss the macroscopic selection rules that depend on the rotational symmetry of the constituent meta-atoms, the order of the harmonic generations, and the change in circular polarization. Continuous geometric phase gradients allow the steering of light beams and shaping of their spatial modes. More complex designs perform nonlinear imaging and multiplex nonlinear holograms, where the functionality is varied according to the generated harmonic order and polarization. Recent advancements in the fabrication of three dimensional nonlinear photonic crystals, as well as the pursuit of quantum light sources based on nonlin

关键词： nonlinear optics quasi phase matching holography geometric phase nonlinear metasurfaces Pancharatnam-Berry phase frequency conversion