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Wringing out better Bell inequalities
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Wringing Our Belter Bell Inequalities. SAMUEL L. BRAUNSTEIN. Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125; ANV CARLTON M. CAVES. Center for Laser Studies, University of Southern California, Los Angeles, California 90089-t 112. Local realism implies constraints on the statistics of two physically separated systems. These constraints, known collectively as Bell inequalities, can be violated by quantum mechanics. The standard Bell inequalities apply to a pair of two-state systems and constrain the value of some linear combination of correlation functions between the two systems. We generalize these standard Bell inequalities in two ways. First, we “chain” the Clauser-Horne-Shimony-Hoh Bell inequality to obtain chained correlation Bell inequalities for two-state systems; we model a real experiment to show that these chained Bell inequalities lead to stronger quantum violations. Second, we formulate information-theoretic Bell inequalities, which are written in terms of the average information obtained in several measurements on a pair of physically separated systems (not just two-state systems); these information Bell inequalities have an appealing interpretation: if local realism holds. the two systems must carry an amount of information consistent with the inequality.
Generalized Beth-Uhlenbeck Wilhelm-Pieck-Universitat AND HARTMUT SCHULZ. Democratic Republic.
Approach for Hot Nuclear Matter. MARTIN SCHM~VT AND GERV RGPKE. Restock, Sektion Physik, 2500 Restock. German Democratic Republic; Central Institute for Nuclear Research, Rossendorf. 8051 Dresden, German
Properties of hot nuclear matter are studied by means of the thermodynamic Green’s function approach under special consideration of the two-particle clustering in a nuclear environment. It has been found that the two-particle clustering is strongly suppressed due to Pauli blocking and quasiparticle effects if the density exceeds a critical value (Mott effect). The resulting equation of state exhibits the general form of a Beth-Uhlenbeck formula and contains the classical law of mass action and the Brueckner-Bethe-Goldstone theory as limiting cases for low and normal nuclear matter densities, respectively. The approach predicts two distinct phase transitions, a liquid-vapour phase transition and the onset of a transition to a superfluid phase. The calculations have been performed with a separable representation of the PARIS-potential which permits us to calculate in a convenient way such interesting quantities as the density dependent binding energies and scattering phase shifts, the abundance of correlated pairs, and the density as a function of the temperature and the chemical potential. The in-medium nucleon-nucleon cross section and the mean free path of a nucleon within nuclear matter are given.
OF PAPERS
TO
APPEAR
IN
FUTURE
ISSUES
217
Wringing Our Belter Bell Inequalities. SAMUEL L. BRAUNSTEIN. Theoretical Astrophysics 130-33, California Institute of Technology, Pasadena, California 91125; ANV CARLTON M. CAVES. Center for Laser Studies, University of Southern California, Los Angeles, California 90089-t 112. Local realism implies constraints on the statistics of two physically separated systems. These constraints, known collectively as Bell inequalities, can be violated by quantum mechanics. The standard Bell inequalities apply to a pair of two-state systems and constrain the value of some linear combination of correlation functions between the two systems. We generalize these standard Bell inequalities in two ways. First, we “chain” the Clauser-Horne-Shimony-Hoh Bell inequality to obtain chained correlation Bell inequalities for two-state systems; we model a real experiment to show that these chained Bell inequalities lead to stronger quantum violations. Second, we formulate information-theoretic Bell inequalities, which are written in terms of the average information obtained in several measurements on a pair of physically separated systems (not just two-state systems); these information Bell inequalities have an appealing interpretation: if local realism holds. the two systems must carry an amount of information consistent with the inequality.
Generalized Beth-Uhlenbeck Wilhelm-Pieck-Universitat AND HARTMUT SCHULZ. Democratic Republic.
Approach for Hot Nuclear Matter. MARTIN SCHM~VT AND GERV RGPKE. Restock, Sektion Physik, 2500 Restock. German Democratic Republic; Central Institute for Nuclear Research, Rossendorf. 8051 Dresden, German
Properties of hot nuclear matter are studied by means of the thermodynamic Green’s function approach under special consideration of the two-particle clustering in a nuclear environment. It has been found that the two-particle clustering is strongly suppressed due to Pauli blocking and quasiparticle effects if the density exceeds a critical value (Mott effect). The resulting equation of state exhibits the general form of a Beth-Uhlenbeck formula and contains the classical law of mass action and the Brueckner-Bethe-Goldstone theory as limiting cases for low and normal nuclear matter densities, respectively. The approach predicts two distinct phase transitions, a liquid-vapour phase transition and the onset of a transition to a superfluid phase. The calculations have been performed with a separable representation of the PARIS-potential which permits us to calculate in a convenient way such interesting quantities as the density dependent binding energies and scattering phase shifts, the abundance of correlated pairs, and the density as a function of the temperature and the chemical potential. The in-medium nucleon-nucleon cross section and the mean free path of a nucleon within nuclear matter are given.