# 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…

## 12 Citations

Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay

- PhysicsInternational Journal of Modern Physics B
- 2018

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

- PhysicsQuantum Inf. Process.
- 2018

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

- Physics, MathematicsJournal of Physics: Conference Series
- 2019

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

- PhysicsEntropy
- 2020

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

- PhysicsQuantum Inf. Process.
- 2020

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

- Physics, MathematicsJournal of Physics: Conference Series
- 2019

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

- PhysicsAnnalen der Physik
- 2018

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

- Physics2017 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?

- PhysicsJournal of Physics: Conference Series
- 2019

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

- Physics
- 2002

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.…