540 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- A. Paliathanasis2 profiles185 · h 42
- G. Leon2 profiles55 · h 31
- M. Govender2 profiles30 · h 21
- M. Znojil2 profiles27 · h 34
- K. G. Zloshchastiev26 · h 18
- P. Leach4 profiles22 · h 15
- S. Pan22 · h 46
- Supriya Pan3 profiles21 · h 14
- Weiqiang Yang2 profiles21 · h 42
- N. Dimakis2 profiles19 · h 21
- A. Giacomini2 profiles13 · h 19
- E. di Valentino10 · h 2
- Austral University of ChileCL111 papers
- Universidad Católica del NorteCL85 papers
- Presidency UniversityIN34 papers
- University of KwaZulu-NatalZA34 papers
- National and Kapodistrian University of AthensGR26 papers
- University of Hradec KrálovéCZ25 papers
- Czech Academy of Sciences, Nuclear Physics InstituteCZ24 papers
- Liaoning Normal UniversityCN22 papers
- National Institute for Theoretical PhysicsZA22 papers
- University of SheffieldGB16 papers
- National Observatory of AthensGR14 papers
- North-West UniversityZA14 papers
35 papers · 1 filter
Inverse Feshbach's problem: Solvability and solutions
Miloslav Znojil
Given a certain specific, by matrix form of the Feshbach's effective (i.e., energy-dependent) Hamiltonian , the inverse-problem reconstruction of the…
Environment-assisted squeezing in a coherently driven non-Hermitian degenerate parametric oscillator
Muhdin Abdo Wodedo, Berihu Teklu, Konstantin G. Zloshchastiev +2
Environment-assisted approaches to nonclassical light offer a practical path to strong squeezing in imperfect, lossy platforms. In this paper, we study a degenerate parametric osci…
Triple exceptional point with unitary paths of unfolding in a three-site fermionic Swanson-like model
Bijan Bagchi, Aritra Ghosh, Miloslav Znojil
A fermionic three-site generalization of the popular bosonic Swanson model is studied as providing an exactly solvable five-parametric example of the quantum-mechanical unitary-evo…
Phase transitions in quasi-Hermitian quantum models at exceptional points of order four
Miloslav Znojil
Quantum phase transition is interpreted as an evolution, at the end of which a parameter-dependent Hamiltonian loses its observability. In the language of mathematics, such…
Non-Hermitian Bose-Hubbard-like quantum models
Miloslav Znojil
Among all of the non-Hermitian large-tridiagonal-matrix quantum Hamiltonians we choose a subclass with the structure resembling the ``benchmark'' realistic Bose-Hubbard model. We d…
Emergence and localization of exceptional points in an exactly solvable toy model
Miloslav Znojil
The most elementary non-Hermitian quantum square-well problem with real spectrum is considered. The Schroedinger equation is required discrete and endowed with PT-symmetric Robin (…
Reconstruction of full-space quantum Hamiltonian from its effective, energy-dependent model-space projection
Miloslav Znojil
Reconstruction of a full-space quantum Hamiltonian from its effective Feshbach's model-space avatar is shown feasible. In a preparatory step the information carried by the effectiv…
Intrinsic exceptional point -- a challenge in quantum theory
Miloslav Znojil
In spite of its unbroken symmetry, the popular imaginary cubic oscillator Hamiltonian does not satisfy all of the necessary postulates of quan…
Quantum singularities in a solvable toy model
Miloslav Znojil
Via elementary examples it is demonstrated that the singularities of classical physics (sampled by the Big Bang in cosmology) need not necessarily get smeared out after quantizatio…
Features, paradoxes and amendments of perturbative non-Hermitian quantum mechanics
Miloslav Znojil
Quantum mechanics of unitary systems is considered in quasi-Hermitian representation. In this framework the concept of perturbation is found counterintuitive, for three reasons. Th…
Discrete-coordinate crypto-Hermitian quantum system controlled by time-dependent Robin boundary conditions
Miloslav Znojil
Non-stationary version of unitary quantum mechanics formulated in non-Hermitian (or, more precisely, in hiddenly Hermitian) interaction-picture representation is illustrated via an…
Thermodynamic Limit in the Two-qubit Quantum Rabi Model with Spin-Spin Coupling
R. Grimaudo, G. Falci, A. Messina +4
The occurrence of a second-order superradiant quantum phase transition is brought to light in a quantum system consisting of two interacting qubits coupled to the same quantized fi…
Quasi-Hermitian quantum mechanics and a new class of user-friendly matrix Hamiltonians
Olaf Lechtenfeld, Miloslav Znojil
In the conventional Schrödinger's formulation of quantum mechanics the unitary evolution of a state is controlled, in Hilbert space , by a Hamiltonian …
Composite quantum Coriolis forces
Miloslav Znojil
The classical Coriolis force finds its quantum analogue in the difference where the ``true'', observable Hamiltonian represents the instantaneous energy. Th…
Non-stationary quantum mechanics in hybrid non-Hermitian interaction representation
Miloslav Znojil
A reformulation of quantum mechanics called ``hybrid interaction picture'' (HIP) is proposed. In contrast to its current non-Hermitian-interaction-picture (NIP) predecessor the new…
Factorized Hilbert-space metrics and non-commutative quasi-Hermitian observables
Miloslav Znojil
It is well known that an (in general, non-commutative) set of non-Hermitian operators with real eigenvalues need not necessarily represent observables. We describe a specific…
Feasibility and method of multi-step Hermitization of crypto-Hermitian quantum Hamiltonians
Miloslav Znojil
In the popular symmetry-based formulation of quantum mechanics of closed systems one can build unitary models using non-Hermitian Hamiltonians (i.e., …
Confluences of exceptional points and a systematic classification of quantum catastrophes
Miloslav Znojil
Specific quantum phase transitions of our interest are assumed associated with the fall of a closed, unitary quantum system into its exceptional-point (EP) singularity. The physica…
Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature
Andrea Grimaldi, Alessandro Sergi, Antonino Messina
This work concerns the theoretical description of the quantum dynamics of molecular junctions with thermal fluctuations and probability losses To this end, we propose a theory for…
New approach to describe two coupled spins in a variable magnetic field
Yuri Belousov, Roberto Grimaudo, Antonino Messina +2
We propose a method to describe the evolution of two spins coupled by hyperfine interaction in an external time-dependent magnetic field. We apply the approach to the case of hyper…
Two-qubit entanglement generation through non-Hermitian Hamiltonians induced by repeated measurements on an ancilla
R. Grimaudo, A. Messina, A. Sergi +2
In contrast to classical systems, actual implementation of non-Hermitian Hamiltonian dynamics for quantum systems is a challenge because the processes of energy gain and dissipatio…
Anomalous mechanisms of the loss of observability in non-Hermitian quantum models
Miloslav Znojil, Denis I. Borisov
Quantum phase transitions in certain non-Hermitian systems controlled by non-tridiagonal Hamiltonian matrices are found anomalous. In contrast to the known models with tridiagonal-…
Polynomial potentials and coupled quantum dots in two and three dimensions
Miloslav Znojil
Non-separable dimensional partial differential Schrödinger equations are considered at and , with the even-parity local potentials which are polynomi…
Phase space formulation of density operator for non-Hermitian Hamiltonians and its application in quantum theory of decay
Ludmila Praxmeyer, Konstantin G. Zloshchastiev
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…