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

@article{Praxmeyer2018PhaseSF, title={Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay}, author={Ludmiła Praxmeyer and Konstantin G. Zloshchastiev}, journal={International Journal of Modern Physics B}, year={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 quantum environment or reservoir, mean lifetime and decay constants of quantum systems do not necessarily take arbitrary values, but could become functions of energy eigenvalues and have a discrete spectrum. It is demonstrated also that a constraint upon mean lifetime and energy appears, which is…

## 2 Citations

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.

Density Operator Approach to Turbulent Flows in Plasma and Atmospheric Fluids

- PhysicsUniverse
- 2020

We formulate a statistical wave-mechanical approach to describe dissipation and instabilities in two-dimensional turbulent flows of magnetized plasmas and atmospheric fluids, such as drift and Rossby…

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