TY - JOUR A1 - Menzel, Ralf A1 - Heuer, Axel A1 - Milonni, Peter W. T1 - Entanglement, Complementarity, and Vacuum Fields in Spontaneous Parametric Down-Conversion JF - Atoms N2 - Using two crystals for spontaneous parametric down-conversion in a parallel setup, we observe two-photon interference with high visibility. The high visibility is consistent with complementarity and the absence of which-path information. The observations are explained as the effects of entanglement or equivalently in terms of interfering probability amplitudes and also by the calculation of a second-order field correlation function in the Heisenberg picture. The latter approach brings out explicitly the role of the vacuum fields in the down-conversion at the crystals and in the photon coincidence counting. For comparison, we show that the Hong-Ou-Mandel dip can be explained by the same approach in which the role of the vacuum signal and idler fields, as opposed to entanglement involving vacuum states, is emphasized. We discuss the fundamental limitations of a theory in which these vacuum fields are treated as classical, stochastic fields. KW - complementarity KW - vacuum fields KW - entanglement KW - Hong-Ou-Mandel effect KW - spontaneous parametric down-conversion Y1 - 2019 U6 - https://doi.org/10.3390/atoms7010027 SN - 2218-2004 VL - 7 IS - 1 PB - MDPI CY - Basel ER - TY - JOUR A1 - Henkel, Carsten T1 - Heat transfer and entanglement BT - non-equilibrium correlation spectra of two quantum oscillators JF - Annalen der Physik N2 - The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided analytically. A wide class of spectral densities for the relevant bath modes is allowed for. The validity of the fluctuation-dissipation relation is established for global equilibrium (both baths at the same temperature) in the stationary state. Spectral measures of entanglement are suggested by comparing to the equilibrium spectrum of zero-point fluctuations. No rotating-wave approximation is applied, and anomalous heat transport from cold to hot bath, as reported in earlier work, is demonstrated not to occur. KW - entanglement KW - heat transfer KW - non-equilibrium steady state KW - master KW - equation KW - quantum thermodynamics Y1 - 2021 U6 - https://doi.org/10.1002/andp.202100089 SN - 0003-3804 SN - 1521-3889 VL - 533 IS - 10 PB - Wiley-VCH CY - Weinheim ER -