Quantum Chaos is the study of the quantum mechanics of classically chaotic systems. The field is currently a very active area of research. Our main thrust is to explore, via electromagnetic experiments, the manifestations of classical chaos in wave mechanics.

Our research program has led to several noteworthy observations listed below:

  • Experimental “proof” of a mathematical theorem on “Not Hearing the Shape of Drums”. Click here to see cover story in Science News.
  • Direct experimental observation of scars in quantum eigenfunctions of microwave cavities. Phys. Rev. Lett. , 67, 785 (1991)
  • Experimental observation of localized wavefunctions in disordered billiards, and deviations from the Porter-Thomas distribution due to localization in disordered billiards. These were the first experiments to be performed on disordered billiards. Phys. Rev. Lett., 75, 822 (1995)
  • First experimental observation of quantum fingerprints of classical Ruelle-Pollicott resonances. Phys. Rev. Lett., 85, 2360 (2000), Nobel Symposium on “Quantum Chaos Y2K”
  • Experimental studies of correlations of chaotic and disordered eigenfunctions and comparison with supersymmetry nonlinear sigma models. Phys. Rev. Lett., 85, 2360 (2000)
  • Tunneling Proximity Resonances: Experimental observation using dielectric resonators Phys. Lett. A, 268 (4-6), 399 (2000)
  • Precision tests of universal aspects of quantum spectra, observation of a “correlation hole”, and tests of applicability of Random Matrix Theories to microwave cavities. Phys. Rev. E. (Rapid Comm.), 49, R11 (1994)
  • Observation of Porter-Thomas distribution and fluctuations in eigenfunctions of chaotic billiards. Phys. Rev. Lett., 75, 822 (1995)
  • Observation of quantum resonances, universal properties, and comparison with semiclassical theories of the n-disk system. Phys. Rev. Lett., 82, 5233 (1999), Phys. Rev. E, 61, 3652 (2000)

It is evident that the experiments are able to explore a remarkable range of issues in Quantum Chaos, including tests of fundamental theories and different classical limits. The microwave experiments have yielded entirely new insights and perspectives concerning the quantum-classical correspondence. The reasons for this success are the ability to study well-defined geometries where the classical dynamics is clearly known, and the precision and flexibility of the experiments. The experiments have led to tests of key theoretical ideas while at the same time raising entirely new questions and motivating theorists in new directions.

Our work in this area is currently funded by National Science Foundation (Division of Atomic, Molecular and Optical Physics).

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Localization of Wavefunctions in Disordered Billiards

Experimental observation of localized wavefunctions in disordered billiards, and deviations from the Porter-Thomas distribution due to localization in disordered billiards. These were the first experiments to be performed on disordered billiards.

We show the evolution of localization with increasing scattering by measuring wavefunctions in disordered billiards.

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Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

Ye, Yong-Hong; Huang, YJ; Lu, WT; Casse, BDF; Xiao, D; Bennett, SP; Heiman, D; Menon, L; Sridhar, S

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Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

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In: Physical Review A, 82 (1), pp. 013811, 2010.

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Superresolution Imaging Using a 3D Nanolens Made Up of Bulk Nanowires Metamaterials Journal Article

In: Bulletin of the American Physical Society, 55 , 2010.

Abstract | Tags: Metamaterials and Nanophotonics

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Superresolution Imaging Using a 3D Nanolens Made Up of Bulk Nanowires Metamaterials Inproceedings

In: APS Meeting Abstracts, 2010.

Abstract | Tags: Metamaterials and Nanophotonics

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Imaging with subwavelength resolution by a generalized superlens at infrared wavelengths Journal Article

In: Optics letters, 34 (13), pp. 1994–1996, 2009.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, Wentao T; Savo, Savatore; Casse, Didier B F; Sridhar, Srinivas

Slow microwave waveguide made of negative permeability metamaterials Journal Article

In: Microwave and Optical Technology Letters, 51 (11), pp. 2705–2709, 2009.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, WT; Sridhar, S

Slow light, open cavity formation, and large longitudinal electric field on slab waveguide made of indefinite-index metamaterials Journal Article

In: arXiv preprint arXiv:0902.4482, 2009.

Abstract | Tags: Metamaterials and Nanophotonics

Casse, Bernard Didier; Lu, Wentao T; Huang, Yongjian; Sridhar, Srinivas

Metallic Nanolens and III-V Nano-Optical Metamaterials Lenses for Subwavelength Imaging and Optoelectronics Applications Inproceedings

In: Optics and Photonics for Advanced Energy Technology, pp. ThC4, Optical Society of America 2009.

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Anisotropic metal-dielectric metamaterials for broadband all-angle negative refraction and superlens imaging Miscellaneous

2009, (US Patent App. 12/220,445).

Abstract | Tags: Metamaterials and Nanophotonics

Lu, WT; Sridhar, S

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Lu, WT; Sridhar, S

Superlens imaging theory for anisotropic nanostructured metamaterials with broadband all-angle negative refraction Journal Article

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Experimental realization of a generalized superlens using negative refraction at infrared wavelengths Inproceedings

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Effective medium theory of photonic crystals Inproceedings

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Nanowire waveguide made from extremely anisotropic metamaterials Journal Article

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Negative index metamaterials based on metal-dielectric nanocomposites for imaging applications Journal Article

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In: APS Meeting Abstracts, 2008.

Abstract | Tags: Metamaterials and Nanophotonics

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Abstract | Tags: Metamaterials and Nanophotonics

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Tags: Metamaterials and Nanophotonics

Banyal, Ravinder; Casse, BDF; Vodo, Plarenta; Lu, WT; Sridhar, Srinivas

Nanophotonic structures for Negative Refraction at NIR and VIS Journal Article

In: APS, pp. X38–007, 2007.

Abstract | Tags: Metamaterials and Nanophotonics

Huang, YJ; Lu, WT; Sridhar, S

New approach to all-angle-negative-refraction in two-dimensional photonic crystals Journal Article

In: APS, pp. S38–002, 2007.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, Wentao; Vodo, P; Sridhar, Srinivas

Negative Refraction in Photonic Crystals Incollection

In: Physics of Negative Refraction and Negative Index Materials, pp. 133–147, Springer, Berlin, Heidelberg, 2007.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, Wentao; Sridhar, Srinivas

Determination of Refractive Indices of Photonic Crystals: Theory and Experiments Inproceedings

In: APS Meeting Abstracts, 2006.

Abstract | Tags: Metamaterials and Nanophotonics

Nagesha, Dattatri; Amiji, Mansoor M; Sridhar, Srinivas

Surface-Engineered Nanomaterials for Nanomedicine Inproceedings

In: ASME 2006 International Manufacturing Science and Engineering Conference, pp. 363–372, American Society of Mechanical Engineers Digital Collection 2006.

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Negative refraction and plano-concave lens focusing in one-dimensional photonic crystals Journal Article

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Abstract | Tags: Metamaterials and Nanophotonics

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Negative Refraction in One-Dimensional Photonic Crystal Inproceedings

In: APS Meeting Abstracts, 2006.

Abstract | Tags: Metamaterials and Nanophotonics

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Focusing by planoconcave lens using negative refraction Journal Article

In: Applied Physics Letters, 86 (20), pp. 201108, 2005.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, Wentao T; Sridhar, Srinivas

Flat lens without optical axis: Theory of imaging Journal Article

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Abstract | Tags: Metamaterials and Nanophotonics

Gennaro, E Di; Parimi, PV; Lu, WT; Sridhar, S; Derov, JS; Turchinetz, B

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In: Physical Review B, 72 (3), pp. 033110, 2005.

Abstract | Tags: Metamaterials and Nanophotonics

Sridhar, S; Parimi, PV; Lu, WT; Vodo, P; Derov, John S

Imaging and negative refraction in left-handed metamaterials Inproceedings

In: Metamaterials, pp. 595505, International Society for Optics and Photonics 2005.

Abstract | Tags: Metamaterials and Nanophotonics

Parimi, PV; Lu, WT; Vodo, P; Sokoloff, J; Derov, JS; Sridhar, S

Negative refraction and left-handed electromagnetism in microwave photonic crystals Journal Article

In: Physical review letters, 92 (12), pp. 127401, 2004.

Abstract | Tags: Metamaterials and Nanophotonics

Vodo, Plarenta; Parimi, Patanjali V; Lu, Wentao T; Gennaro, Emiliano Di; Sridhar, Srinivas

Negative Refraction experiments in Photonic Crystal prisms Journal Article

In: APS, 2004 , pp. S19–008, 2004.

Abstract | Tags: Metamaterials and Nanophotonics

Lu, WT; Sokoloff, JB; Sridhar, S

Refraction of electromagnetic energy for wave packets incident on a negative-index medium is always negative Journal Article

In: Physical Review E, 69 (2), pp. 026604, 2004.

Abstract | Tags: Metamaterials and Nanophotonics

Parimi, Patanjali; Vodo, Plarenta; Wentao, Lu; di Gennaro, Emiliano; Sridhar, Srinivas

Image formation by and wave propagation in a photonic crystal Inproceedings

In: APS Meeting Abstracts, 2004.

Abstract | Tags: Metamaterials and Nanophotonics

Vodo, P; Parimi, PV; Lu, WT; Sridhar, S; Wing, R

Microwave photonic crystal with tailor-made negative refractive index Journal Article

In: Applied physics letters, 85 (10), pp. 1858–1860, 2004.

Abstract | Tags: Metamaterials and Nanophotonics