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(4)
Foundations of Quantum Mechanics
Measure Theory
Numerical Simulation
Quantum Chaos
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Quantum chaos and the doubleslit experiment
Quantum chaos and the doubleslit experiment,10.1103/PhysRevA.72.032111,Physical Review A,Giulio Casati,Tomaz Prosen
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Quantum chaos and the doubleslit experiment
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Citations: 7
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Giulio Casati
,
Tomaz Prosen
We report on the
numerical simulation
of the doubleslit experiment, where the initial wave packet is bounded inside a billiard domain with perfectly reflecting walls. If the shape of the billiard is such that the classical ray dynamics is regular, we obtain interference fringes whose visibility can be controlled by changing the parameters of the initial state. However, if we modify the shape of the billiard thus rendering classical (ray) dynamics fully chaotic, the interference fringes disappear and the intensity on the screen becomes the (classical) sum of intensities for the two corresponding oneslit experiments. Thus we show a clear and fundamental example in which transition to chaotic motion in a deterministic classical system, in absence of any external noise, leads to a profound modification in the quantum behavior.
Journal:
Physical Review A  PHYS REV A
, vol. 72, no. 3, pp. 32111032111, 2005
DOI:
10.1103/PhysRevA.72.032111
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References
(6)
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Unknown
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(
Citations: 3
)
Martin Horvat
,
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Journal:
Journal of Physics Amathematical and General  J PHYSAMATH GEN
, vol. 36, no. 14, pp. 40154034, 2003
Quantum Chaos: an introduction
(
Citations: 321
)
H. J. Stockman
Published in 1999.
Lecture Notes on Physics
(
Citations: 3962
)
Unknown
Journal:
Nature
, vol. 21, no. 529, pp. 153153, 1879
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Citations
(7)
Growing Classical and Quantum Entropies in the Early Universe
J. S. Ardenghi
,
M. A. Castagnino
Journal:
International Journal of Theoretical Physics  INT J THEOR PHYS
, vol. 49, no. 1, pp. 171186, 2010
Towards a definition of the quantum ergodic hierarchy: Ergodicity and mixing
(
Citations: 1
)
Mario Castagnino
,
Olimpia Lombardi
Journal:
Physica Astatistical Mechanics and Its Applications  PHYSICA A
, vol. 388, no. 4, pp. 247267, 2009
Nonintegrability and mixing in quantum systems: On the way to quantum chaos
(
Citations: 2
)
Mario Castagnino
,
Olimpia Lombardi
Journal:
Studies in History and Philosophy of Modern Physics
, vol. 38, no. 3, pp. 482513, 2007
The classical limit of nonintegrable quantum systems, a route to quantum chaos
(
Citations: 5
)
Mario Castagnino
,
Olimpia Lombardi
Journal:
Chaos Solitons & Fractals  CHAOS SOLITON FRACTAL
, vol. 28, no. 4, pp. 879898, 2006
The equilibrium limit of the Casati–Prosen model
(
Citations: 4
)
Mario Castagnino
,
Fisica del Espacio
Journal:
Physics Letters A  PHYS LETT A
, vol. 357, no. 2, pp. 97100, 2006