Quantum Zeno subspaces.

  title={Quantum Zeno subspaces.},
  author={Paolo Facchi and Saverio Pascazio},
  journal={Physical review letters},
  volume={89 8},
The quantum Zeno effect is recast in terms of an adiabatic theorem when the measurement is described as the dynamical coupling to another quantum system that plays the role of apparatus. A few significant examples are proposed and their practical relevance discussed. We also focus on decoherence-free subspaces. 

Figures from this paper

Quantum Zeno Subspaces and Decoherence
A profound consequence of the quantum Zeno effect is the partitioning of the total Hilbert space into quantum Zeno subspaces, among which any transition is hindered. Such a phenomenon can be due to
Quantum Zeno subspaces induced by temperature
We discuss the partitioning of the Hilbert space of a quantum system induced by the interaction with another system at thermal equilibrium, showing that the higher the temperature the more effective
Zeno Subspaces for Coupled Superconducting Qubits
Decoherence is one of the most serious drawback in quantum mechanical applications. We discuss the effects of noise in superconducting devices (Josephson junctions) and suggest a decoherence-control
Three Different Manifestations of the Quantum Zeno Effect
Three different manifestations of the quantum Zeno effect are discussed, compared and shown to be physically equivalent. We look at frequent projective measurements, frequent unitary “kicks” and
Quantum Zeno dynamics with Rydberg atoms
The back-action of a quantum measurement with a degenerate eigenvalue confines the evolution of the system inside the corresponding eigenspace. Using the Stark sublevels of a Rydberg atom, we report
Quantum Zeno dynamics and quantum Zeno subspaces
A quantum Zeno dynamics can be obtained by means of frequent measurements, frequent unitary kicks or a strong continuous coupling and yields a partition of the total Hilbert space into quantum Zeno
Confined quantum Zeno dynamics of a watched atomic arrow
Repeatedly probing a quantum system restricts its evolution, providing a route for state engineering. Such confinement, described by quantum Zeno dynamics, has now been implemented to generate
Perfect Zeno-like effect through imperfect measurements at a finite frequency
The quantum Zeno effect is usually thought to require infinitely frequent and perfect projective measurements to freeze the dynamics of quantum states. We show that perfect freezing of quantum states
Quantum Zeno dynamics in atoms and cavities
Abstract Quantum Zeno Dynamics restricts the evolution of a system in a tailorable subspace of the Hilbert space by repeated measurements of a proper observable. This restricted dynamics can be
Quantum Zeno subspaces and dynamical superselection rules
The quantum Zeno evolution of a quantum system takes place in a proper subspace of the total Hilbert space. The physical and mathematical features of the “Zeno subspaces” depend on the measuring


Inverse quantum Zeno effect in quantum oscillations
It is shown that inverse quantum Zeno effect (IZE) could exist in a three-level system with Rabi oscillations between discrete atomic states. An experiment to observe IZE in such a system is proposed.
Chapter 3 Quantum Zeno and inverse quantum Zeno effects
This chapter discusses the quantum Zeno and inverse quantum Zeno effects. The quantum Zeno effect is a consequence of the new dynamical features introduced by a series of measurement processes. In
Irreversibility Questions in Chemistry, Quantum-Counting, and Time-Delay
I would like to bring together here three questions, each of independent and fundamental interest, bound together by a common underlying theme: how do we distinguish irreversibility effects in
Mathematical Foundations of Quantum Mechanics
Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth
  • (N.Y.) 18, 756
  • 1977
Progress in Optics
  • Phys. 49, 1041
  • 2001
  • Rev. Lett. 87, 253001
  • 2001
  • Rev. Lett. 87, 040402
  • 2001
  • Rev. Lett. 86, 4271
  • 2001