Quantum Zeno dynamics: mathematical and physical aspects
By P. Facchi, V. Gorini, G. Marmo, S. Pascazio, E. Sudarshan. 2000
477 citations recorded by the source corpus.
If frequent measurements ascertain whether a quantum system is still in its initial state, transitions to other states are hindered and the quantum Zeno effect takes place. However, in its broader formulation, the quantum Zeno effect does not necessarily freeze everything. In contrast, for frequent projections onto a multidimensional subspace, the system can evolve away from its initial state, although it remains in the subspace defined by the measurement. The continuing time evolution within the projected ‘quantum Zeno subspace’ is called ‘quantum Zeno dynamics’: for instance, if the measurements ascertain whether a quantum particle is in a given spatial region, the evolution is unitary and the generator of the Zeno dynamics is the Hamiltonian with hard-wall (Dirichlet) boundary conditions. We discuss the physical and mathematical aspects of this evolution, highlighting the open mathematical problems. We then analyze some alternative strategies to obtain a Zeno dynamics and show that they are physically equivalent.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/1c233f6e9b93e654eca2d689ff47ed07dd4dfaec
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In Artificial Intelligence
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- Peter Zoller
- Simone Montangero
- Frank Verstraete
- Serge Haroche
- J. I. Cirac
- Rainer Blatt
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In Atomic and Molecular Physics, and Optics
- Marcello Dalmonte
- Simone Montangero
- Peter Zoller
- J. I. Cirac
- Frank Verstraete
- Serge Haroche
- Rainer Blatt
- Markus K. Oberthaler
In Statistical and Nonlinear Physics
- Jianke Yang
- Frank Verstraete
- J. I. Cirac
- Dmitry A. Zezyulin
- Markus K. Oberthaler
- Serge Haroche
- Uwe-Jens Wiese
- Peter Zoller
Citations in the corpus
- Simulating lattice gauge theories within quantum technologies (2019, methodology): “- that is, U x= U . Typically, this requires ne-tuning, making energy punishment strategies not immediately viable. In Ref. [210], an alternative procedure was proposed based on quantum Zeno dynamics [211]. The basic idea is to consider a set of classical noise sources ˘ x(t) coupled to the generato”
- Engineered dissipation for quantum information science (2022, background): “If ˆ H and ˆ Q do not commute, the resulting Zeno dynamics can be rich 16,37–46 .”
- Nonlinear waves in PT -symmetric systems (2016, background): “This phenomena can be termed to as macroscopic Zeno effect (Shchesnovich and Konotop, 2010) which is a macroscopic (meanfield) manifestation of the well-known quantum Zeno effect (Daley, 2014; Facchi and Pascazio, 2008).”
- Quantum metrology with nonclassical states of atomic ensembles (2016, background): “Quantum Zeno dynamics combines the coherent evolution of a system with the measurement of an initially unoccupied quantum state (Facchi and Pascazio, 2008): if the measurement is performed with high enough fre-”
- Confined quantum Zeno dynamics of a watched atomic arrow (2014, background): “This has been predicted theoretically [3] and verified in a recent experiment [14].”