Residence time of a two-level quantum system

被引:11
|
作者
Sokolovski, D [1 ]
机构
[1] Queens Univ Belfast, Sch Math & Phys, Belfast BT7 1NN, Antrim, North Ireland
关键词
quantum mechanics; quantum measurements; quantum system;
D O I
10.1098/rspa.2003.1227
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
We analyse the duration T that a two-level quantum system spends in one of its states over a time T. We show that the approaches based on constructing for T a Hermitian operator or on separating the system's virtual paths yield different results. The two approaches are linked to predictive and finite-time measurements, respectively, which disagree in the quantum case. Existence of a finite-time Zeno effect is demonstrated and discussed in detail.
引用
收藏
页码:1505 / 1517
页数:13
相关论文
共 50 条
  • [1] Limit Time Optimal Synthesis for a Two-Level Quantum System
    Mason, Paolo
    Salmoni, Rebecca
    Boscain, Ugo
    Chitour, Yacine
    [J]. 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4546 - 4551
  • [2] Time-optimal control of a two-level dissipative quantum system
    Sugny, D.
    Kontz, C.
    Jauslin, H. R.
    [J]. PHYSICAL REVIEW A, 2007, 76 (02):
  • [3] Quantum speed limit and optimal evolution time in a two-level system
    Poggi, P. M.
    Lombardo, F. C.
    Wisniacki, D. A.
    [J]. EPL, 2013, 104 (04)
  • [4] Quantum correlations in a system of two two-level atoms
    A. M. Basharov
    A. A. Bashkeev
    [J]. Optics and Spectroscopy, 2004, 96 : 650 - 657
  • [5] Quantum correlations in a system of two two-level atoms
    Basharov, AM
    Bashkeev, AA
    [J]. OPTICS AND SPECTROSCOPY, 2004, 96 (05) : 650 - 657
  • [6] Quantum correlations in the system of two two-level atoms
    Basharov, AM
    Bashkeev, AA
    [J]. INTERNATIONAL WORKSHOP ON QUANTUM OPTICS 2003, 2004, 5402 : 291 - 301
  • [7] Quantum manipulation of a two-level mechanical system
    Chiavazzo, Salvatore
    Sorensen, Anders S.
    Kyriienko, Oleksandr
    Dellantonio, Luca
    [J]. QUANTUM, 2023, 7
  • [8] On the Measurement Problem for a Two-level Quantum System
    Alexey A. Kryukov
    [J]. Foundations of Physics, 2007, 37 : 3 - 39
  • [9] On the measurement problem for a two-level quantum system
    A. Kryukov, Alexey
    [J]. FOUNDATIONS OF PHYSICS, 2007, 37 (01) : 3 - 39
  • [10] Parametrizations of a two-level quantum control system
    Nihtila, Markku
    Kokkonen, Petri
    Levine, Jean
    [J]. 2007 AFRICON, VOLS 1-3, 2007, : 834 - +