Ladder Invariants and Coherent States for Time-Dependent Non-Hermitian Hamiltonians

Zenad, M.; Ighezou, F.-Z.; Maamache, M.

doi:10.1007/s10773-020-04401-8

Cited by 6 publications

(2 citation statements)

References 51 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since the vector components ρ Ej are expressed in terms of dichotomic probabilities p Ej 1, 2, 3 ; j, k = 1, 2 , 3, linear Equations ( 25) and (26) have the form of a system of equations for the set of probability distributions p Ej 1, 2, 3 determining the qutrit Hamiltonian eigenstates. The explicit probabilistic form of Equation ( 25) reads 12) p * ( 13) p (12) p ( 22) 3 p * ( 23) p (13) p (22) p 12) p * ( 13) p (12) p ( 22) 3 p * ( 23) p (13) p (22) p…”

Section: Numbers ρ (Jk)mentioning

confidence: 99%

“…The Heisenberg representation for the non-Hermitian systems was given in [24]. The P T -symmetric states of different systems, including time-dependent oscillators, were investigated in [25,26]. The experimental study of a single dissipative qubit connected with quantum-state tomography related to the system behavior near exceptional points associated with P T -symmetry 0f the non-Hermitian Hamiltonian was presented in [27].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics

Chernega

Man’ko

2020

Symmetry

View full text Add to dashboard Cite

PT-symmetric qubit-system states are considered in the probability representation of quantum mechanics. The new energy eigenvalue equation for probability distributions identified with qubit and qutrit states is presented in an explicit form. A possibility to test PT-symmetry and its violation by measuring the probabilities of spin projections for qubits in three perpendicular directions is discussed.

show abstract

Section: Numbers ρ (Jk)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics

Chernega

Man’ko

2020

Symmetry

View full text Add to dashboard Cite

show abstract

Dynamical Systems Involving Pseudo-Fermionic Operators and Generalized Quaternion Groups

Bavuma,

Russo

2023

Springer INdAM Series

View full text Add to dashboard Cite

Pseudo-fermionic coherent states with time-dependent metric

Koussa

Attia

Maamache

2020

Journal of Mathematical Physics

View full text Add to dashboard Cite

In this paper, we construct time-dependent pseudo-fermionic coherent states for non-Hermitian Hamiltonian systems. Our construction of pseudo-fermionic coherent states is based on an introduction of time-dependent pseudo-fermionic creation and annihilation operators subjected to time-dependent metrics such that the latter are integrals of motion. As an illustration, we study a time-dependent non-Hermitian two-level system.

show abstract

Ladder Invariants and Coherent States for Time-Dependent Non-Hermitian Hamiltonians

Cited by 6 publications

References 51 publications

PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics

PT -Symmetric Qubit-System States in the Probability Representation of Quantum Mechanics

Dynamical Systems Involving Pseudo-Fermionic Operators and Generalized Quaternion Groups

Pseudo-fermionic coherent states with time-dependent metric

Contact Info

Product

Resources

About