Hilbert space partitioning for non-Hermitian Hamiltonians: From off-resonance to Zeno subspaces
arXiv:1907.01969 · doi:10.1016/j.physleta.2020.126355
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 .
References in corpus (31)
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Highly efficient energy excitation transfer in light-harvesting complexes: The fundamental role of noise-assisted transport
- Quantum Zeno subspaces
- Topological Transition in a Non-Hermitian Quantum Walk
- Quantum Zeno dynamics: mathematical and physical aspects
- Universal dynamical control of quantum mechanical decay: Modulation of the coupling to the continuum
- Parity-time-symmetric quantum critical phenomena
- Topological unification of time-reversal and particle-hole symmetries in non-Hermitian physics
- Thermodynamical Control by Frequent Quantum Measurements
- Experimental realization of quantum zeno dynamics
- Continuous and Pulsed Quantum Zeno Effect
- Non-Hermitian Kondo effect in ultracold alkaline-earth atoms
- Measurement quantum mechanics and experiments on quantum Zeno effect
- Statistics of resonance width shifts as a signature of eigenfunction non-orthogonality
- Zeno and anti-Zeno effects for quantum Brownian motion
- Quantum Zeno dynamics and quantum Zeno subspaces
- Experimental Width Shift Distribution: A Test of Nonorthogonality for Local and Global Perturbations
- Non-Hermitian Dynamics in the Quantum Zeno Limit
- Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival
- Effective quantum Zeno dynamics in dissipative quantum systems
- Stimulated Raman adiabatic passage in an open quantum system: Master equation approach
- From Zeno to anti-Zeno: decoherence-control dependence on the quantum statistics of the bath
- Quantum Zeno effect and nonclassicality in a PT symmetric system of coupled cavities
- General equation for Zeno-like effects in spontaneous exponential decay
- Quantum Zeno Subspaces induced by Temperature
- Generalized relation between pulsed and continuous measurements in the quantum Zeno effect
- Influence of the detector's temperature on the quantum Zeno effect
- The Role of Temperature in the occurrence of some Zeno Phenomena
- Zeno effect preventing Rabi transitions onto an unstable energy level
- Interaction-free evolving states of a bipartite system
- Generalized Interaction-Free Evolutions