
Research
Interests
The foundation of modern physics has
provided a challenge to our perception since the introduction of quantum
theory. The development of technology has moved us closer to limits set by
nature rather than by our skills. This means that understanding the foundation
of quantum theory is becoming more important. At UMBC recent theoretical and
experimental research is aimed at understanding the non-local behavior of light
through a series of studies. We are studying the nonlocal interference
properties of the two-photon state produced by optical parametric down
conversion. This work has illustrated behavior that cannot be reproduced by
classical electromagnetic fields and has clarified the nature of the entangled
two-photon state produced by parametric down conversion. Some interesting
practical applications of our research have been to metrology and quantum
imaging. Expanding on this work,
we are looking at more efficient sources of two-photon states using four-wave
mixing and slow light. In addition, we have recently begun a study of three
photon imagining based on our earlier work using down conversion and up
conversion to generate three photon entangled states.
The paper of Einstein, Podolsky, and
Rosen led Schrodinger to introduce the term entanglement for a superposition of
states of subsystems that may be far apart. Entanglement is one of the most
fascinating and puzzling aspects of quantum physics. The general
characterization of entanglement is a difficult mathematical problem. We have been carrying out theoretical
analyses to study this problem.
Selected
and Recent Publications
Jianming Wen, P. Xu,
Morton H. Rubin, Yanhua Shih, Transverse correlations in triphoton
entanglement: Geometrical and physical optics, accepted for
publication Phys. Rev. A
Jianming Wen, Shengwang Du , and Morton H. Rubin, Spontaneous
parametric down-conversion in a three-level system, Phys. Rev. A 76
(2007).
Shengwang Du, Eun Oh,
Jianming Wen,
and Morton H.
Rubin, Four-wave mixing in
three-level systems: Interference and entanglement Phys. Rev. A 76, 013803 (2007).
Shengwang Du, Jianming Wen,
Morton H.
Rubin, and G. Y. Yin, Four-Wave Mixing and
Biphoton Generation in a Two-Level System, Phys. Rev. Lett. 98, 053601 (2007).
Jianming Wen, Shengwang Du, and Morton H. Rubin, Biphoto generation
in a two-level atomic ensemble ,
Phys. Rev. A 75, 033809 (2007).
Jianming Wen and
Morton H.Rubin, Transverse
Effects in Paired Photon Generation via an EIT Medium II: Beyond Perturbation
Theory,
Phys. Rev. A 74, 023809 (2006).
Milena
DÕAngelo, Alejandra Vlencia,
Morton H. Rubin, and Yanhua Shih, Resolution
of quantum and classical ghost imaging,
Phys. Rev. A 72, 13810 (2005).
Sulakshana Thanvanthri, Jianming Wen, and Morton H. Rubin, Effects
of mismatched transmissions on two-mode squeezing and EPR correlations with a
slow light medium,
Phys. Rev. A 72, 023822
(2005)
Jianming Wen and Morton H. Rubin, Theory of Two-photon
Interference in an Electromagnetically Induced Transparency System, Phys. Rev. A 70, 063806 (2004).
Sulakshana. Thanvanthri and Morton H.
Rubin, Ghost Interference with Optical Parametric Amplifier, Phys. Rev. A 70, 063811 (2004).
Arthur O. Pittenger and Morton H. Rubin, Mutually unbiased bases,
generalized spin matrices and separability, Lin. Alg. and its Appl., 390, 255 (2004).
Arthur
O. Pittenger and Morton H. Rubin, The geometry of entanglement
witnesses and local detection of entanglement, Phys. Rev. A 67, 012327 (2003).
A. O. Pittenger and M. H. Rubin, Convexity and the separability
problem in quantum mechanical density matrices, Linear Algebra and its Applications 346, 47 (2002).
Y.-H.
Kim, M. V. Chekhova, S. P. Kulik, M. H. Rubin, and Y. Shih, Interferometric Bell State
Preparation Using Femtosecond Pulse Pumped Spontaneous Down-Conversion,
Phys. Rev. A 63, 062301 (2001).
A. O. Pittenger and M. H. Rubin, Note on Separability of the Werner
states in arbitrary dimensions, Optics Communications 179, 447
(2000).
A. O. Pittenger and M. H. Rubin, Complete separability and Fourier representations
of n-qubit states, Phys. Rev. A62, 042306 (2000).
M. H. Rubin, Entanglement and State Preparation, Phys. Rev. A61, 022311-1 (2000).
T. E. Keller, M. H. Rubin, Y. Shih, Two-photon
Entanglement From Spontaneous Parametric Down Conversion From Temporally
Distinct Pulses, Phys. Lett. A 244,
507 (1998).
M. H. Rubin, Transverse Correlations
in optical spontaneous parametric down-conversion, Phys. Rev.
A54, 5349 (1996).
T. B. Pittman, D. V. Strekalov, A.
Migdall, M. H. Rubin, A. V Sergienko and Y. H. Shih, Can two-photon
interference be considered the interference of two photons?, Phys. Rev. Lett, 77, 1917 (1996).
M. H. Rubin, Y. H. Shih, and A. V.
Sergienko, Einstein-Podolsky-Rosen State for Space-Time Variables in a Two
Photon Interference Experiment, Phys.
Rev. A47, 1288 (1993).