A Detailed Description of Gregg Jaeger's Research and Its Implications

Publications

"Complementarity of one-particle and two-particle interference,"

Gregg Jaeger, Abner Shimony and Michael Horne, Physical Review A _48_ (1993) 1023 -1027.

The variation of one-particle and two-particle interference of a set of two-particle states with a full range of quantum amplitudes (but limited phase range) was used to predict interference visibilities. This demonstrated a limited complementarity between one-particle and two-particle interferences. A well-defined expression for two-particle interference visibility was introduced for the first time.

- The two-particle visibility expression was related to degree of entanglement by A. Shimony, Ann. Acad. Sci. (N.Y.) 775: 675 (1995). - Our results were used to test a proposed quantitative measure of entanglement: J. Schlienz amd G. Mahler, Phys. Rev. A, 52: 4396 (1995). - This analysis was later given a semiclassical treatment: P. Sancho, PRA 54: 119 (1996), who called our summing of two-particle quantum amplitudes the introduction of an "EFR" (Extended Feynman Rule) - Our results were used in the study of quantum entanglement as a quantifiable resource: W.K. Wooters, Proc. Roy. Soc. A (London) 356: 1717 (1998). - An experimental verification of these results was carried out by T.G. Noh and C. K. Hong, Journal of the Korean Physical Society (Seoul) 33: 383 (1998).

"Complementarity and path distinguishability,"

Gregg Jaeger and Abner Shimony, Proc. Baltimore Conf. on Squeezed States and Uncertainty Relations (1994) 523-533.

An update of the state of our research at the time. A complementary relationship between path distinguishability and interference visibility for one-particle interference was predicted using an improved measure of path distinguishability for a broad range of quantum states.

"Two interferometric complementarities,"

Gregg Jaeger, Abner Shimony and Lev Vaidman, Physical Review A _51_ (1995) 54 -67.

This paper extended previous work above to include mixtures of photon states and quantum states of full generality. The work strengthened both of the above complementarity relations, making them of full generality.

- The two-particle interference visibility first introduced in the above series of papers was used in relation to local unitary transformations on two particle states and our 1&2-particle-interference complementarity was rederived using Bloch vectors: J. Schlienz and G. Mahler Phys. Rev. A 52: 4396 (1995). - The welcher-weg result obtained was independently rederived by another worker: B.-G. Englert, PRL 77: 2154. (1996). - Our result was used to study an apparent quantum mechanical paradox: J.L. Cereceda, Am. J. Phys. 64: 459 (1996). - This work was later discussed in relation to particle-wave complementarity in general: E.G. Holloday, Am. J. Phys. 66: 27 (1998); D. Home _Conceptual Foundations of Quantum Physics, Plenum (New York) p. 284 (1997). - Our results were extended to distinguishability of interferometric branches by P.Sancho: Found. Phys. Lett. 10: 235 (1997). - Our results were used to explain interference effects in spontaneous two-photon parametric scattering from two macroscopic regions: A. V. Burlakov, M. V. Chekhova, D. N. Klyshko, S. P. Kulik, A. N. Penin, Y. H. Shih, and D. V. Strekalov Phys. Rev. A 56: 3214 (1997). - Our results were used for the presentation of a novel intereferometric experiment: G. Giuseppe, F. De Martini, D. Boschi, et al, Fortschr. Phys. 46: 643 (1998). - Our path-distinguishabiliy/inteference visibility complementarity result was verified experimentally in atom inteferometry: S. Duerr, T. Nonn and G. Rempe, Phys. Rev. Lett. 81: 5705 (1998); S. Duerr and G. Rempe, Advances in Atomic, Molecular and Optical Physics (to appear).

"Optimal distinction between two non-orthogonal quantum states,"

Gregg Jaeger and Abner Shimony, Physics Letters A _197_ (1995) 83 -87.

An optimum measure of distinguishability between pairs of non-orthogonal quantum states was found, having implications for quantum signal analysis and communication.

- This work formed the basis of an error-free quantum receiver for binary pure quantum state signals: M. Ban, Phys. Lett. A 213: 235 (1996). - Our results were related to probabilistic cloning of quantum states: Duan, L.M. and Guo G.C., Phys. Rev. Lett. 80: 4999 (1998). - This work was extended to optimal error-free discrimination for n pure non-orthogonal quantum states: A. Chefles, Phys. Lett. A 239: 339 (1998). - This work was extended to the optimal distinction of more than three non-orthogonal states: Asher Peres, Daniel Terno J. Math. Phys. A, 31: 7105 (1998). - This idea was extended to the finding the optimum unambiguous discrimination between linearly independent symmetric states: A. Chefles and S.M. Barnett, Phys. Lett. A 250: 223 (1998) - This idea was extended to the idea of "quantum state separation": A. Chefles and S.M. Barnett, J. Phys. A 31: 10097 (1998)

"On the distribution of bacterial mutants... ,"

Gregg Jaeger and Sahotra Sarkar, Genetica _96_ (1995) 217 -283.

This work was done as an analogous biological application of mathematical methods used in ongoing work attempting to describe the collapse of the quantum mechanical wavefunction as an objective stochastic process. That work is outlined in the publication of my collaborator (next).

- This work was later studied computationally using Bayesian estimators by G. Asteris and S. Sarkar, Genetics vol. 142 (1996).

"The Ito Formalism and Stochastic Modifications of Quantum Dynamics,"

Sahotra Sarkar, _Experimental Metaphysics (Quantum Mechanical Studies for Abner Shimony, Vol. 1)_ (Eds. Robert S. Cohen et al.) Boston Studies in the Philosophy of Science vol. 193, Kluwer Academic (1997).

Sarkar and I showed the utility of the Ito formalism in describing stochastic modifications of quantum dynamics. The models of Gisin and Pearle were treated by the same method, eliminating equivocations of previous treatments of these models by other methods in the literature. Previously given results for these models were rigorously derived for the first time.

"Bell-type equalities for SQUIDs on the assumptions of macroscopic realism and non-invasive measurability,"

Gregg Jaeger, Chris Viger and Sahotra Sarkar, Physics Letters A 210 (1996) 5 -10.

This work was done with Sahotra Sarkar and Chris Viger between 9/94 and 10/95. New equalities, similar in form to the Bell inequality were derived from Leggett's (U. of Illinois-Champaign) assumptions about the behavior of the magnetic flux in superconducting quantum interference devices.

"An Outline of the Philosophy of Science in the Twentieth Century"

Gregg Jaeger, University of Tuzla (Bosnia) Anniversary Volume (1997) 223 -230.

This article was prepared as an introduction to current issues in the philosophy of science, particularly as they pertain to the physical sciences. It was written as part of teaching in Bosnia.

- The philosophy of science course at the Summer University Tuzla, Bosnia was continued by Richard Boyd in 1998.

``The Ehrenfest Classification of Phase Transitions...''

Gregg Jaeger, Archives for History of Exact Sciences 53 (1998) 51-81.

This work was done mainly between 12/95 and 12/96, but additions were made in the spring of 1997. The evolution of the concept of a phase transition was analysed, with Ehrenfest's first precise and broad classification scheme as a point of reference. Particular attention was paid to the subtle case of classifying the lambda transition of helium.

- Laszlo Tisza described this paper as the most detailed piece on the topic (comment on MS).

``The Einstein-Podolsky-Rosen Argument in Quantum Physics''

Gregg Jaeger, The Stanford Encyclopedia of Philosophy (in press).

This is a concise but all-inclusive discussion of the EPR argument and its ramifications for the progress of fundamental microphysics. It includes a discussion of the philosophical assumptions of the argument, the Copenhagen response to it, Einstein's improved version of the argument, the influence on Bell and his theorem and later causal analyses of EPR arrangements.

"An Extremum Principle for a Neutron Diffraction Experiment.''

Gregg Jaeger and Abner Shimony, Foundations of Physics (in press).

A variational expression for the Schroedinger evolution is used to derive rigorously for the first time an extremum principle used in studies of neutron diffraction in periodic potentials (Foundations of Physics, in press).

"Tests of a Two-Photon Technique for Measuring Polarization Mode Dispersion with Subfemtosecond Precision.''

E. Dauler, G. Jaeger, A. Muller, A. Migdall and A. Sergienko J. Res. NIST 104: 1 (1999).

A recently discovered technique for measuring optical delay in birefringent materials is studied experimentally using entangled photon pairs created by type-II phasematched spontaneous parametric down-conversion. It is demonstrated that the technique is capable of sub-femtosecond precision, that the precision increases linearly with the decrease in the length of the nonlinear crystal (BBO) used, and that the precision can be reduced by sufficiently decreasing available bandwidth.

"A Dual Scale Two-Photon Technique for Measuring Polarization Mode Dispersion with Attosecond Resolution"

A. Migdall, A. Muller, G. Jaeger and A.V. Sergienko, (submitted to Physical Review Letters).

An improved version of the above technique achieving a precision of 2 attosec.

"Book Review: Bohmian Mechanics and Quantum Theory: An Appraisal"

Gregg Jaeger, Studies in History and Philosophy of Modern Physics (in press).

A review of a recent collection of papers on Bohmian mechanics having the above title and edited by J. Cushing et al.