Entangled Harmonic Oscillators and Space-Time Entanglement
AbstractThe mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It is shown that the Gaussian entanglement shares the same set of mathematical formulas with the harmonic oscillator in the Lorentz-covariant world. It is thus possible to transfer the concept of entanglement to the Lorentz-covariant picture of the bound state, which requires both space and time separations between two constituent particles. These space and time variables become entangled as the bound state moves with a relativistic speed. It is shown also that our inability to measure the time-separation variable leads to an entanglement entropy together with a rise in the temperature of the bound state. As was noted by Paul A. M. Dirac in 1963, the system of two oscillators contains the symmetries of the
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Başkal, S.; Kim, Y.S.; Noz, M.E. Entangled Harmonic Oscillators and Space-Time Entanglement. Symmetry 2016, 8, 55.
Başkal S, Kim YS, Noz ME. Entangled Harmonic Oscillators and Space-Time Entanglement. Symmetry. 2016; 8(7):55.Chicago/Turabian Style
Başkal, Sibel; Kim, Young S.; Noz, Marilyn E. 2016. "Entangled Harmonic Oscillators and Space-Time Entanglement." Symmetry 8, no. 7: 55.
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