scholarly journals Zeno effect and ergodicity in finite-time quantum measurements

2011 ◽  
Vol 84 (6) ◽  
Author(s):  
D. Sokolovski
2014 ◽  
Vol 21 (04) ◽  
pp. 1450010
Author(s):  
Toru Fuda

By carrying out appropriate continuous quantum measurements with a family of projection operators, a unitary channel can be approximated in an arbitrary precision in the trace norm sense. In particular, the quantum Zeno effect is described as an application. In the case of an infinite dimension, although the von Neumann entropy is not necessarily continuous, the difference of the entropies between the states, as mentioned above, can be made arbitrarily small under some conditions.


2020 ◽  
pp. 166-184
Author(s):  
Gershon Kurizki ◽  
Goren Gordon

In a strange dream, Henry is coherently transported towards his bride down the aisle. But just as a small portion of him arrives next to her, that portion disappears in a flash of light caused by a snapshot! Henry keeps trying to be united with his bride, but repeated snapshots cause Henry’s collapse to being far away from her. This dream illustrates the quantum Zeno effect (QZE): if a measurement collapses the quantum state with high probability to the initial state, then frequent repeated measurements can almost stop the change of the quantum state. Yet less frequent measurements cause the opposite, anti-Zeno effect (AZE), whereby change or decay increases. Thus, decay is controllable. These effects confirm Zeno’s argument that change is an illusion, as it is up to the observer to prevent or induce it by appropriate observation. The appendix to this chapter explains the QZE for coherent and decay processes.


2019 ◽  
Vol 100 (11) ◽  
Author(s):  
Benedikt Schoenauer ◽  
Dirk Schuricht

2016 ◽  
Vol 1 (1) ◽  
Author(s):  
Tatjana Puskarov ◽  
Dirk Schuricht

We study the time evolution in the transverse-field Ising chain subject to quantum quenches of finite duration, ie, a continuous change in the transverse magnetic field over a finite time. Specifically, we consider the dynamics of the total energy, one- and two-point correlation functions and Loschmidt echo during and after the quench as well as their stationary behaviour at late times. We investigate how different quench protocols affect the dynamics and identify universal properties of the relaxation.


2016 ◽  
Vol 94 (1) ◽  
Author(s):  
Yuanjian Zheng ◽  
Peter Hänggi ◽  
Dario Poletti
Keyword(s):  

2020 ◽  
Vol 101 (2) ◽  
Author(s):  
Sangyun Lee ◽  
Meesoon Ha ◽  
Jong-Min Park ◽  
Hawoong Jeong
Keyword(s):  

2007 ◽  
Vol 151 (1) ◽  
pp. 167-180 ◽  
Author(s):  
T. Jahnke ◽  
J. Birjukov ◽  
G. Mahler

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