6533b86ffe1ef96bd12cd347
RESEARCH PRODUCT
Hilbert space partitioning for non-Hermitian Hamiltonians: From off-resonance to Zeno subspaces
Anna NapoliBenedetto Militellosubject
PhysicsQuantum PhysicsSettore FIS/02 - Fisica Teorica Modelli E Metodi MatematiciDiagonalHilbert spaceGeneral Physics and AstronomyFOS: Physical sciencesZeno dynamicsNon-Hermitian Hamiltonian01 natural sciencesLinear subspaceHermitian matrixSettore FIS/03 - Fisica Della Materia010305 fluids & plasmasModulisymbols.namesakeDissipation0103 physical sciencessymbols010306 general physicsZeno's paradoxesHamiltonian (quantum mechanics)Quantum Physics (quant-ph)Mathematical physicsQuantum Zeno effectdescription
Abstract Effective non-Hermitian Hamiltonians describing decaying systems are derived and analyzed in connection with the occurrence of possible Hilbert space partitioning, resulting in a confinement of the dynamics. In some cases, this fact can be interpreted properly as Zeno effect or Zeno dynamics, according to the dimension of the subspace one focuses on; in some other cases, the interpretation is more complicated and traceable back to a mix of Zeno phenomena and lack of resonance. Depending on the complex phases of the diagonal terms of the Hamiltonian, the system reacts in different ways, requiring larger moduli for the dynamical confinement to occur when the complex phase is close to π / 2 .
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-04-01 |