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… 
Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay
The Wigner–Weyl transform and phase space formulation of a density matrix approach are applied to a non-Hermitian model which is quadratic in positions and momenta. We show that in the presence of a
Enhancing and protecting quantum correlations of a two-qubit entangled system via non-Hermitian operation
TLDR
Numerical calculations demonstrate that quantum discord and entanglement as two kinds of typical measures of quantum correlations can exceed respective initial value, and their evolution behaviors appear to violate conventional properties which formulates Quantum discord and quantum entanglements are invariants under local operations.
Master equation approach for non-Hermitian quadratic Hamiltonians: Original and phase space formulations
We consider evolution of dynamical systems described by non-Hermitian Hamiltonians, using the density operator approach. The latter is formulated both at the level of the Hilbert space and the phase
Two-Qubit Entanglement Generation through Non-Hermitian Hamiltonians Induced by Repeated Measurements on an Ancilla
TLDR
This paper demonstrates the effectiveness of a proposed protocol for engineering non-Hermitian Hamiltonians as a result of repetitive measurements on an ancillary qubit by applying it to physically relevant multi-spin models, and reports a new recipe to construct a physical scenario where the quantum dynamics of a physical system represented by a given non- herMITian Hamiltonian model may be simulated.
Quantum Fisher information of a two-level system controlled by non-Hermitian operation under depolarization
TLDR
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.
Wave-mechanical phenomena in optical coupled-mode structures
We derive a formal mapping between Schrödinger equations and certain classes of Maxwell equations describing the classical electromagnetic wave’s propagation inside coupled-modes waveguides. This
The 4D Dirac Equation in Five Dimensions
The Dirac equation may be thought as originating from a theory of 5D space‐time. One way to formulate such a theory relies on a special 5D Clifford algebra and a spin‐1/2 constraint equation for
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
Is sustainability of light-harvesting and waveguiding systems a quantum phenomenon?
It is shown that sustainability is a universal quantum-statistical phenomenon, which occurs during propagation of electromagnetic waves inside different dissipative media, such as waveguides,
...
...

References

SHOWING 1-2 OF 2 REFERENCES
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.