(of course, the Zeno effect is not expected to prolong the natural life expectancy of a living
being, though this is a theoretical possibility if quantum mechanics applies also to the live
macroscopic state!)
The Schr¨odinger Cat: Physics, Myth, and Philosophy
C. S. Unnikrishnan
However, consider some type of ‘motion’ which starts off sluggishly and then speeds up.
So, in the initial durations there is hardly any movement and then the speed picks up and it
starts moving uniformly, as in a traffic stop. If the traffic light stays green only for a short
time, comparable to the time required to start moving even a short distance, the speed will
never really pick up, and the time to move a given distance keeps increasing faster and faster,
with a decreasing duration of the green signal. Finally when the light stays on for a duration
smaller than the time to press the accelerator, the motion really freezes. This pseudo-Zeno
effect happens because the motion is nonlinear in time and not uniform – starts off slowly
and then picks up. This simple analogy, though not perfect, helps to understand the nature
of the quantum Zeno effect. In quantum mechanics, a change of a state, or the quantum
motion, is equivalent to a rotation of the state vector in an abstract space. A measurement
is a projection of the vector along a chosen direction in its space. If the vector rotates by
a very small amount and if a projection to its original direction (initial state) is taken, the
length of the projection is almost the same as the length of the vector itself; the projection
is different from the original vector only in the second order (square) in small quantities,
and hence the difference is negligible. So, if the system is not allowed to evolve for sufficient
time before a measurement, that is equivalent to a small rotation and a projection, and the
projection is almost the same as the original state. If there are frequent small rotations and
projections (measurements) then the projections remain close to the original vector
https://arxiv.org/pdf/2107.10241.pdf
https://www.physicsforums.com/threads/question-about-the-quantum-zeno-effect.766026/
the information obtained by frequent observation on a quantum system has been proven to decrease the entropy of the system itself22.
https://www.nature.com/articles/s41598-023-38040-w
the quantum system decreases its entropy value, in agreement with the experimental evidence as reported in Ref.22
the collapsing time is related to the decoherence time of the system coupled to the environment with thermal noise. The stronger the coupling is, the shorter the decoherence time is, and the faster it will collapse39.
quantum correlations concerning also memory effects concerning the apparent violation of the second law of thermodynamics. They extend the second law to quantum processes by incorporating information explicitly into this thermodynamic law, by providing the meaning of flows and backflows of information, proving that quantum thermodynamic force is responsible for encoding and decoding information even when a feedback controller outside the system is involved in the process.
Dipartimento Energia “Galileo Ferraris”, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
(INFN-Sezione di Torino
Umberto Lucia
https://elixirfield.blogspot.com/2022/04/the-subspace-of-quantum-zeno-effect-is.html
https://www.nature.com/articles/nature19762
Quantum dynamics of simultaneously measured non-commuting observables
information about both non-commuting observables is extracted by keeping track of the time ordering of the measurement record, enabling quantum state tomography without alternating measurements. Our work creates novel capabilities for quantum control, including rapid state purification4, adaptive measurement5,6, measurement-based state steering and continuous quantum error correction7.
..................
In conclusion, we propose and experimentally demonstrate, for the first time, the simultaneous estimation of two phases generated by two orthogonal (noncommuting) spin rotations using an entangled atomic ensemble.
https://ecoechoinvasives.blogspot.com/2017/10/entropy-of-information-recovered-from.html
By including quantum effects into the Hawking and 't Hooft's proposals, I show that a subtlety arising from the inescapable measurement process, the Quantum Zeno Effect, not only tames divergences but it actually recovers the correct1/4 of the area Bekenstein-Hawking entropy law of black holes.
Emergent time crystals from phase-space noncommutative
quantum mechanics
In such a context, one can conclude that the NC parameters naturally drive the amplitude of periodic oscillations thought as time crystals.
https://arxiv.org/pdf/2207.00346.pdf
Entanglement due to noncommutativity in phase space
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.88.085013
https://arxiv.org/pdf/2209.03122.pdf
If we consider weak non commutativity, then we can determine energy eigenvalue corrections to the binding
https://link.springer.com/article/10.1007/s10773-022-05065-2
In addition, we realize also that non-commutativity effects combined with the coupling constant lead to an increasing entanglement of the quantum states, and the quantum fidelity for continuous variables is shown not to be affected by the non-commutative deformation when single-mode Gaussian squeezed state is taken as an initial state.https://arxiv.org/pdf/1801.03767.pdf
Noncommutativity induced entanglement.
https://arxiv.org/pdf/2006.16528.pdf
it is quite obvious that the take home message of our paper, that entanglement can be generated through noncommutativity, will remain intact.
The results shows that noncommutative effects may be
employed to enhance the heat flow between the two os-
cillators, decreasing the time required to reach thermal
equilibrium. We highlight that since the noncommuta-
tive parameters θ and η are positive quantities, it is not
possible to employ it to reverse the heat flow, implying
that the standard second law of thermodynamics is ro-
bust to the inclusion of new noncommutative relations
in the quantum theory. Our results could be used to
generate a quantum Otto refrigerator, with NC effects
boosting the performance of the quantum fridge.
employed to enhance the heat flow between the two os-
cillators, decreasing the time required to reach thermal
equilibrium. We highlight that since the noncommuta-
tive parameters θ and η are positive quantities, it is not
possible to employ it to reverse the heat flow, implying
that the standard second law of thermodynamics is ro-
bust to the inclusion of new noncommutative relations
in the quantum theory. Our results could be used to
generate a quantum Otto refrigerator, with NC effects
boosting the performance of the quantum fridge.
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