Some Mathematical Aspects of Quantum Zeno Effect

被引：2
|
作者：
Arai, Asao [1 ]
Fuda, Toru [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
LETTERS IN MATHEMATICAL PHYSICS | 2012年 / 100卷 / 03期
基金：
日本学术振兴会;
关键词：
quantum Zeno effect; survival probability; transition probability; PARADOX;
D O I：
10.1007/s11005-011-0539-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Mathematical investigations on quantum Zeno effect (QZE) are presented, including the following aspects: (i) QZE by frequent measurements made by an arbitrary partition of a time interval [0, t] (t > 0); (ii) non-occurrence of QZE for vector states which are not in the domain of the Hamiltonian of the quantum system under consideration; and (iii) asymptotic behavior of the survival probability characterizing QZE in the number N of divisions of [0, t]; and (iv) QZE along a curve in the Hilbert space of state vectors.
引用
收藏
页码：245 / 260
页数：16
相关论文
共 50 条
  • [41] Correcting quantum errors with the Zeno effect
    Erez, N
    Aharonov, Y
    Reznik, B
    Vaidman, L
    PHYSICAL REVIEW A, 2004, 69 (06): : 062315 - 1
  • [42] Quantum Zeno effect and adiabatic change
    Kitano, M
    PHYSICAL REVIEW A, 1997, 56 (02): : 1138 - 1141
  • [43] Quantum zeno effect and the detection of gravitomagnetism
    Camacho, A
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2001, 10 (01): : 9 - 14
  • [44] Quantum Zeno effect in correlated qubits
    Safranek, Dominik
    Deffner, Sebastian
    PHYSICAL REVIEW A, 2018, 98 (03)
  • [45] Quantum Zeno effect by incomplete measurements
    Manchao Zhang
    Chunwang Wu
    Yi Xie
    Wei Wu
    Pingxing Chen
    Quantum Information Processing, 2019, 18
  • [46] Quantum Zeno effect in the decoherent histories
    Wallden, Petros
    THIRD INTERNATIONAL WORKSHOP DICE2006 - QUANTUM MECHANICS BETWEEN DECOHERENCE AND DETERMINISM: NEW ASPECTS FROM PARTICLE PHYSICS TO COSMOLOGY - CONTRIBUTED PAPERS, 2007, 67
  • [47] Quantum Zeno effect appears in stages
    Snizhko, Kyrylo
    Kumar, Parveen
    Romito, Alessandro
    PHYSICAL REVIEW RESEARCH, 2020, 2 (03):
  • [48] Quantum Zeno effect by general measurements
    Koshino, K
    Shimizu, A
    PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2005, 412 (04): : 191 - 275
  • [49] Real measurements and the quantum Zeno effect
    Ruseckas, J
    Kaulakys, B
    PHYSICAL REVIEW A, 2001, 63 (06): : 9
  • [50] Quantum zeno effect induced by collisions
    Nagels, B
    Hermans, LJF
    Chapovsky, PL
    PHYSICAL REVIEW LETTERS, 1997, 79 (17) : 3097 - 3100
12345