Correction to: Note on a Product Formula Related to Quantum Zeno Dynamics
نویسندگان
چکیده
منابع مشابه
O ct 2 00 4 A Product Formula Related to Quantum Zeno Dynamics
We prove a product formula which involves the unitary group generated by a semibounded self-adjoint operator and an orthogonal projection P on a separable Hilbert space H, with the convergence in Lloc(R;H). It gives a partial answer to the question about existence of the limit which describes quantum Zeno dynamics in the subspace RanP . The convergence in H is demonstrated in the case of a fini...
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We introduce a new product formula which combines an orthogonal projection with a complex function of a non-negative operator. Under certain assumptions on the complex function the strong convergence of the product formula is shown. Under more restrictive assumptions even operator-norm convergence is verified. The mentioned formula can be used to describe Zeno dynamics in the situation when the...
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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 subspaces, among which any transition is hindered. We focus on the “continuous” version of the quantum Zeno effect and look at several interesting examples. We first analyze these examples in practic...
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We demonstrate a pair of new product formulæ which combine a projection with a resolvent of a positive operator, or with an exponential function and spectral projections, respectively. The convergence is strong or even operator-norm under more restrictive assumptions. The second mentioned formula can be used to describe Zeno dynamics in the situation when the usual non-decay measurement is repl...
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The evolution of a quantum system undergoing very frequent measurements takes place in a subspace of the total Hilbert space (quantum Zeno effect). The dynamical properties of this evolution are investigated and several examples are considered.
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ژورنال
عنوان ژورنال: Annales Henri Poincaré
سال: 2021
ISSN: 1424-0637,1424-0661
DOI: 10.1007/s00023-021-01056-x