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

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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 beams.However,prevailing approaches face challenges in spatial resolution and complexities associated with integrating dynamic phases,impeding the simplified design and reproducible fabrication of metasurfaces.Here,we introduce an innovative approach for complex amplitude modulation within 3D nano-printed geometric phase metasurfaces.Our approach enables the generation of self-accelerating beams by encoding amplitude through phase-only manipulation,achieving high spatial resolution.Notably,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 complexity.This 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

geometric phase under the Unruh effect with intermediate statistics

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Chinese Physics B 2022年第5期31卷 46-52页

作者：冯俊张精俊张倩怡 School of Physics Xi’an Jiaotong UniversityXi’an 710049China

Utilizing the geometric phase(GP)acquired in a quantum evolution,we manifest the thermality and quantum nature of the Unruh effect of an accelerating detector.We consider an UDW detector coupling to a conformal field in Minkowski spacetime,whose response spectrum exhibits an intermediate statistics of(1+1)anyon field.We find that comparing to an inertial moving detector,the GP in accelerating frame is modified after the nonunitary evolution of the detector due to the Unruh effect.We show that such modification can distinguish the different thermalizing ways of the detector,which depends on the scaling dimension of the conformal primary field.Finally,we estimate the difference between the GP under the Unruh radiation and that in a thermal bath for a static observer,which reveals the quantum origin of the Unruh effect rather than a conventional thermal noise.

关键词： open quantum system geometric phase Unruh effect

geometric phases and quantum phase transitions in inhomogeneous XY spin-chains:Effect of the Dzyaloshinski-Moriya interaction

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Chinese Physics B 2010年第4期19卷 152-158页

作者：王林成闫俊彦衣学喜 School of Physics and Optoelectronic Technology Dalian University of Technology

We study geometric phases of the ground states of inhomogeneous XY spin chains in transverse fields with Dzyaloshinski--Moriya （DM） interaction, and investigate the effect of the DM interaction on the quantum phase transition （QPT） of such spin chains. The results show that the DM interaction could influence the distribution of the regions of QPTs but could not produce new critical points for the spin-chain. This study extends the relation between geometric phases and QPTs.

关键词： geometric phase quantum phase transition the Dzyaloshinski-Moriya interaction

Nonadiabatic geometric phase in a doubly driven two-level system

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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

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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

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

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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

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

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

作者：张礼博宋超王浩华郑仕标 Department of Physics Zhejiang University Fujian Key Laboratory of Quantum Information and Quantum Optics College of Physics and Information EngineeringFuzhou University

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

Multifunctional interleaved geometric-phase dielectric metasurfaces

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Light(Science & Applications) 2017年第1期6卷 668-674页

作者： Elhanan Maguid Igor Yulevich Michael Yannai Vladimir Kleiner Mark L Brongersma Erez Hasman Micro and Nanooptics Laboratory Faculty of Mechanical Engineeringand Russell Berrie Nanotechnology InstituteTechnion-Israel Institute of TechnologyHaifa 32000Israel Geballe Laboratory for Advanced Materials Stanford University476 Lomita MallStanfordCA 94305USA

Shared-aperture technology for multifunctional planar systems,performing several simultaneous tasks,was first introduced in the field of radar antennas.In photonics,effective control of the electromagnetic response can be achieved by a geometric-phase mechanism implemented within a metasurface,enabling spin-controlled phase modulation.The synthesis of the shared-aperture and geometric-phase concepts facilitates the generation of multifunctional metasurfaces.Here shared-aperture geometric-phase metasurfaces were realized via the interleaving of sparse antenna sub-arrays,forming Si-based devices consisting of multiplexed geometric-phase profiles.We study the performance limitations of interleaved nanoantenna arrays by means of a Wigner phasespace distribution to establish the ultimate information capacity of a metasurface-based photonic system.Within these limitations,we present multifunctional spin-dependent dielectric metasurfaces,and demonstrate multiple-beam technology for optical rotation sensing.We also demonstrate the possibility of achieving complete real-time control and measurement of the fundamental,intrinsic properties of light,including frequency,polarization and orbital angular momentum.

关键词： geometric phase metasurface multifunctional shared aperture spectropolarimetry spin-optics Wigner distribution

Fidelity susceptibility and geometric phase in critical phenomenon

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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