dorsal/arxiv
View SchemaA Dynamical Reduction Theory of Einstein-Podolsky-Rosen Correlations and a Possible Origin of CP Violations
| Authors | Daniel I. Fivel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9611016 |
| URL | https://arxiv.org/abs/quant-ph/9611016 |
| DOI | 10.1103/PhysRevA.56.146 |
Abstract
We show that there is essentially only one way to construct a stochastic Schrodinger equation that gives a dynamical account of the transformation of entangled into factorized states and is consistent both with quantum mechanics and required symmetries. The noisy, non-linear term is a unimodular scalar multiple of the time reversal operator that must be present whenever a Hamiltonian term in the Schrodinger equation can distinguish the factorized constituents of an entangled state. The dynamical mechanism involved in the transformation of entangled into factorized states provides an explanation for the fact that Einstein-Podolsky-Rosen correlations appear in a time determined by the response of the measuring device and independent of the distance between the particles. The dependence on the response time of the measuring device may be testable through a delay in observing the collapse of mesoscopic ``Schrodinger cat" states in ion traps. It is further shown that there are situations where a two-particle interaction can induce a non-linear term by virtue of coupling to decay modes that distinguish factorized constituents of an entangled state. We show that this should happen in the neutral K-meson system where the entangled $K_L$ state is pushed slightly in the direction of a factorized constituent ($K_o$ or $\overline{K_o}$) as a consequence of the fact that these can be distinguished via the sign of the charged lepton in a semi-leptonic decay mode. The result is a CP violation that is within 20% of the experimental value.
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"abstract": "We show that there is essentially only one way to construct a stochastic\nSchrodinger equation that gives a dynamical account of the transformation of\nentangled into factorized states and is consistent both with quantum mechanics\nand required symmetries. The noisy, non-linear term is a unimodular scalar\nmultiple of the time reversal operator that must be present whenever a\nHamiltonian term in the Schrodinger equation can distinguish the factorized\nconstituents of an entangled state. The dynamical mechanism involved in the\ntransformation of entangled into factorized states provides an explanation for\nthe fact that Einstein-Podolsky-Rosen correlations appear in a time determined\nby the response of the measuring device and independent of the distance between\nthe particles. The dependence on the response time of the measuring device may\nbe testable through a delay in observing the collapse of mesoscopic\n``Schrodinger cat\" states in ion traps. It is further shown that there are\nsituations where a two-particle interaction can induce a non-linear term by\nvirtue of coupling to decay modes that distinguish factorized constituents of\nan entangled state. We show that this should happen in the neutral K-meson\nsystem where the entangled $K_L$ state is pushed slightly in the direction of a\nfactorized constituent ($K_o$ or $\\overline{K_o}$) as a consequence of the fact\nthat these can be distinguished via the sign of the charged lepton in a\nsemi-leptonic decay mode. The result is a CP violation that is within 20% of\nthe experimental value.",
"arxiv_id": "quant-ph/9611016",
"authors": [
"Daniel I. Fivel"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.56.146",
"title": "A Dynamical Reduction Theory of Einstein-Podolsky-Rosen Correlations and a Possible Origin of CP Violations",
"url": "https://arxiv.org/abs/quant-ph/9611016"
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