首页|Experimental test of an extension of the Rosenzweig-Porter model to mixed integrable-chaotic systems experiencing time-reversal invariance violation

Experimental test of an extension of the Rosenzweig-Porter model to mixed integrable-chaotic systems experiencing time-reversal invariance violation

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Experimental test of an extension of the Rosenzweig-Porter model to mixed integrable-chaotic systems experiencing time-reversal invariance violation
We report on the theoretical and experimental investigations of the transition of a typical quantum system with mixed regular-integrable classical dynamics to one with violated time-reversal(T)invariance.The measurements are performed with a flat superconducting microwave resonator with circular shape in which chaoticity is induced by using either long antennas or inserting two circular disks into the cavity,and by magnetizing a ferrite disk placed at its center,which leads to violation of T invariance.We propose an extension of the Rosenzweig-Porter(RP)model,which interpolates between mixed regular-chaotic instead of integrable dynamics and fully chaotic dynamics with violated T-invariance,and derive a Wigner-surmise like analytical expression for the corresponding nearest-neighbor spacing distribution.We propose a procedure involving this result and those for the RP model to determine the size of(Γ)-invariance violation and chaoticity and validate it employing the experimental eigenfrequency spectra.

wave chaosquantum chaosquantum billiardsmicrowave billiardsrandom matrix theorymi-crowave experiments

张晓东、车炯宁、Barbara Dietz

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Lanzhou Center for Theoretical Physics,Key Laboratory of Theoretical Physics of Gansu Province,and Key Laboratory of Quantum Theory and Applications of the Ministry of Education,Lanzhou University,Lanzhou 730000,China

Center for Theoretical Physics of Complex Systems,Institute for Basic Science(IBS),Daejeon 34126,Korea

Yangtze Delta Region Institute,University of Electronic Science and Technology of China,Huzhou 313001,China

Basic Science Program,Korea University of Science and Technology(UST),Daejeon 34113,Korea

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wave chaos quantum chaos quantum billiards microwave billiards random matrix theory mi-crowave experiments

2024

10.1088/1674-1056/ad8a4e

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子：0.995
ISSN：1674-1056
年,卷(期)：2024.33(12)