Quantum Chaos of a Kicked Particle in an Infinite Potential Well

Bambi Hu; Baowen Li; Jie Liu; Yan Gu

doi:10.1103/PhysRevLett.82.4224

Quantum Chaos of a Kicked Particle in an Infinite Potential Well

Bambi Hu
, Baowen Li
, Jie Liu
, Yan Gu

Research output: Contribution to journal › Journal article › peer-review

86 Citations (Scopus)

Abstract

We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation K, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as D∝^2.5. However, in the large K regime, D∝K². Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as K increases. The quasieigenstates are power-law localized for small K and extended for large K. Possible experimental realization of this model is also discussed.

Original language	English
Pages (from-to)	4224-4227
Number of pages	4
Journal	Physical Review Letters
Volume	82
Issue number	21
DOIs	https://doi.org/10.1103/PhysRevLett.82.4224
Publication status	Published - 24 May 1999

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title = "Quantum Chaos of a Kicked Particle in an Infinite Potential Well",

abstract = "We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation K, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as D∝2.5. However, in the large K regime, D∝K2. Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as K increases. The quasieigenstates are power-law localized for small K and extended for large K. Possible experimental realization of this model is also discussed.",

author = "Bambi Hu and Baowen Li and Jie Liu and Yan Gu",

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AU - Hu, Bambi

AU - Li, Baowen

AU - Liu, Jie

AU - Gu, Yan

N1 - The work was supported in part by grants from the Hong Kong Research Grants Council (RGC) and the Hong Kong Baptist University Faculty Research Grant (FRG). Publisher copyright: © 1999 American Physical Society

PY - 1999/5/24

Y1 - 1999/5/24

N2 - We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation K, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as D∝2.5. However, in the large K regime, D∝K2. Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as K increases. The quasieigenstates are power-law localized for small K and extended for large K. Possible experimental realization of this model is also discussed.

AB - We study quantum chaos in a non-KAM system exemplified by a particle in an infinite potential well subject to a periodic kicking force. For a small perturbation K, the classical phase space displays a stochastic web structure, and the diffusion coefficient scales as D∝2.5. However, in the large K regime, D∝K2. Quantum mechanically, we observe that the level spacing statistics of the quasieigenenergies changes from Poisson to Wigner distribution as K increases. The quasieigenstates are power-law localized for small K and extended for large K. Possible experimental realization of this model is also discussed.

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SP - 4224

EP - 4227

JO - Physical Review Letters

JF - Physical Review Letters

IS - 21

ER -

Quantum Chaos of a Kicked Particle in an Infinite Potential Well

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