Stability of pure states in quantum mechanics

@article{Zloshchastiev2015StabilityOP,
  title={Stability of pure states in quantum mechanics},
  author={Konstantin G. Zloshchastiev},
  journal={arXiv: Quantum Physics},
  year={2015}
}
We demonstrate that quantum fluctuations can cause, under certain conditions, the instability of pure states. The degree and type of such instability are controlled by the environment-induced anti-Hermitian parts of Hamiltonians. This is drastically different from the Hermitian case where both the purity's value and pure states are preserved during time evolution. The instability of pure states is not preassigned in the evolution equation but arises as the emergent phenomenon in its solutions… 
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12 Citations
Background Citations
2
Methods Citations
1

12 Citations

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The investigation shows that the non-Hermiticity in the operation which is performed on the initial state is robust against the depolarizing decoherence, and the precision of parameter estimation can be remarkably enhanced by applying an appropriate non- hermitian operation.
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Quantum-statistical description of electromagnetic waves in dissipative media
  • K. G. Zloshchastiev
  • Physics
    2017 XXIInd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED)
  • 2017
We give a brief review of the statistical density operator approach which is adopted for studying the electromagnetic (EM) waves propagating in nonconducting linear media, their dissipation and…
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References

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Non-Hermitian Quantum Mechanics: Frontmatter
The Theory of Open Quantum Systems
PREFACE ACKNOWLEDGEMENTS PART 1: PROBABILITY IN CLASSICAL AND QUANTUM MECHANICS 1. Classical probability theory and stochastic processes 2. Quantum Probability PART 2: DENSITY MATRIX THEORY 3.…