### Abstract

Under a periodically driven external field or a temporally oscillating boundary, quantum few- body systems whose corresponding classical systems show chaos are modeled by the random matrices with an oscillating parameter. In such systems, time evolution of the system from the ground state shows the quantum diffusion. However, due to periodic oscillation of the parameter, quantum interference effect prevents the energy of the system from diverging and the energy saturates after some transient time. We show an example where the energy eventually fluctuates around a constant saturated energy. Since the value of this saturated energy depends on the frequency of the driving, we also investigate the dependence of the saturated energy on the frequency in the small frequency region.

Original language | English |
---|---|

Pages (from-to) | 109-110 |

Number of pages | 2 |

Journal | Journal of the Physical Society of Japan |

Volume | 72 |

Issue number | SUPPL.C |

Publication status | Published - 2003 |

Externally published | Yes |

### Fingerprint

### Keywords

- Quantum dynamics
- Quantum localization
- Random matrix

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Journal of the Physical Society of Japan*,

*72*(SUPPL.C), 109-110.

**Frequency dependence of quantum localization in a periodically driven system.** / Maohida, Manabu; Saitou, Keiji; Miyashita, Seiji.

Research output: Contribution to journal › Article

*Journal of the Physical Society of Japan*, vol. 72, no. SUPPL.C, pp. 109-110.

}

TY - JOUR

T1 - Frequency dependence of quantum localization in a periodically driven system

AU - Maohida, Manabu

AU - Saitou, Keiji

AU - Miyashita, Seiji

PY - 2003

Y1 - 2003

N2 - Under a periodically driven external field or a temporally oscillating boundary, quantum few- body systems whose corresponding classical systems show chaos are modeled by the random matrices with an oscillating parameter. In such systems, time evolution of the system from the ground state shows the quantum diffusion. However, due to periodic oscillation of the parameter, quantum interference effect prevents the energy of the system from diverging and the energy saturates after some transient time. We show an example where the energy eventually fluctuates around a constant saturated energy. Since the value of this saturated energy depends on the frequency of the driving, we also investigate the dependence of the saturated energy on the frequency in the small frequency region.

AB - Under a periodically driven external field or a temporally oscillating boundary, quantum few- body systems whose corresponding classical systems show chaos are modeled by the random matrices with an oscillating parameter. In such systems, time evolution of the system from the ground state shows the quantum diffusion. However, due to periodic oscillation of the parameter, quantum interference effect prevents the energy of the system from diverging and the energy saturates after some transient time. We show an example where the energy eventually fluctuates around a constant saturated energy. Since the value of this saturated energy depends on the frequency of the driving, we also investigate the dependence of the saturated energy on the frequency in the small frequency region.

KW - Quantum dynamics

KW - Quantum localization

KW - Random matrix

UR - http://www.scopus.com/inward/record.url?scp=70349303033&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70349303033&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:70349303033

VL - 72

SP - 109

EP - 110

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - SUPPL.C

ER -