Non-Hermitian and Zeno limit of quantum systems under rapid measurements

@article{Thiel2020NonHermitianAZ,
  title={Non-Hermitian and Zeno limit of quantum systems under rapid measurements},
  author={Felix Thiel and David A. Kessler},
  journal={Physical Review A},
  year={2020},
  volume={102}
}
We investigate in depth the relation between the first detection time of an isolated quantum system that is repeatedly perturbed by strong local measurements with a large fixed frequency $1/\tau$, determining whether it is in some given state $| \psi_\text{d} \rangle$, and the time of absorption to the same state of the same system with the added imaginary potential $2i\hbar | \psi_\text{d} \rangle \langle \psi_\text{d} | / \tau$. As opposed to previous works, we compare directly the solutions… 

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References

SHOWING 1-10 OF 162 REFERENCES
Physical Review E 95
  • 032141
  • 2017
Communications in Mathematical Physics 320
  • 543
  • 2013
Annals of Physics 53
  • 286
  • 1969
‘A’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
‘L’
  • P. Alam
  • Composites Engineering: An A–Z Guide
  • 2021
Quantization of the mean decay time for non-Hermitian quantum systems
We show that the mean time, which a quantum particle needs to escape from a system to the environment, is quantized and independent from most dynamical details of the system. In particular, we
[PL] Digital control engineering
and E
  • Barkai, Quan- 22 tum walks: the first detected transition time
  • 2020
Engineering tunable local loss in a synthetic lattice of momentum states
Dissipation can serve as a powerful resource for controlling the behavior of open quantum systems.Recently there has been a surge of interest in the influence of dissipative coupling on large quantum
Experimental proof of quantum Zeno-assisted noise sensing
In the ideal quantum Zeno effect, repeated quantum projective measurements can freeze the coherent dynamics of a quantum system. However, in the weak quantum Zeno regime, measurement back-actions can
...
1
2
3
4
5
...