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Pragya Shukla

Pragya Shukla

Doctorate (Ph.D.)

Professor, Department of Physics

Selected Publications

Geometry of 3D monochromatic light: local wavevectors, phases, curl forces, and superoscillations M. V. Berry and Pragya Shukla, J. Optics, (2019). 
Statistical analysis of chiral structured ensembles: Role of Matrix Constraints T. Mondal and P. Shukla, Phys. Rev. E, 99, 022124, (2019).
Disordered perturbed flat bands: level statistics and inverse participation ratio Pragya Shukla, Phys. Rev. B, 98, 054206, (2018). 
Disordered perturbed flat bands II: search for criticality Pragya Shukla, Phys. Rev. B, 98, 184202, (2018).
Geometric phase curvature for random states M. V. Berry and Pragya Shukla, J. Phys. A, (IOP), 51, 475101, (2018).
Criticality in Brownian ensembles S.Sadhukhan and P.Shukla, Phys. Rev. E, 96, 012109, (2017).
Extended states with Poisson spectral statistics T. Mondal, S.Sadhukhan and Pragya shukla, Phys. Rev. E 95, 062102, (2017).
Eigenfunction statistics of Wishart Brownian ensembles Pragya Shukla, J. Phys A (IOP), 50, 435003, (2017).
Localization to Delocalization Transitions: is Rosenzweig-Porter ensemble the hidden skelton? Pragya Shukla, New J. of Phys (IOP) 18, (2), 021004, (2016).
Curl force dynamics: symmetries, Chaos and constants of motion M.V. Berry and Pragya Shukla, New J. of Phys (IOP) 18, (6), 063018, (2016).
Anderson Transition in disordered two dimensional lattices D.Dey, M. Kumar and Pragya Shukla, arXiv:1511.06073, (2015).
Weak Measurements: typical weak and superweak values Pragya Shukla, Current Science, special issue, (2015).
Random matrix ensembles with column/ row constraints: II S. Sadhukhan and Pragya Shukla, J. Phys A, 48, 415003, (2015).
Random matrix ensembles with column/ row constraints: I Pragya Shukla and S. Sadhukhan, J. Phys A, 48, 415002, (2015).
Hamiltonian curl forces M.V.Berry and Pragya Shukla, Proc. Roy. Soc. A, 471, 0002, (2015).
Universality classes in Coulomb blockade conductance peak­height statistics D.Dey and Pragya Shukla, Phys. Rev. E, 90, 052118, (2014).
Super-adiabatic optical forces on a dipole: exactly solvable model for a vortex field M.V. Berry and Pragya Shukla, J. Phys. A, 47, 125201 (2014)
Physical curl forces: dipole dynamics near optical vortices, M V Berry and Pragya Shukla, J. Phys. A, 46, 422001 (2013).
Hearing random matrices and random waves M V Berry and Pragya Shukla, New Journal of Physics, 15, (1), 013026, (2013).
Generalized random matrix theory: a mathematical probe for complexity Pragya Shukla, Int. Jou. of Mod.Phys B (WSPC), 26, 12300008, (2012).
Classical dynamics with curl forces, and motion driven by time-dependent flux, M V Berry and P. Shukla, J. Phys. A: Math. Theor. 45, 305201, (2012).
Can apparent superluminal neutrino speeds can be explained as a quantum weak measurement? M V Berry, N. Bruner, S. Popescu and Pragya Shukla, J. Phys. A: Math. Theor. 44, 492001, (2011).
Pointer super-shifts and super-oscillations in weak measurements, M.V. Berry and P. Shukla, J. Phys. A: Math. & Theo., 45, 015301, (2011).
Conductance fluctuations in almost closed quantum dots of arbitrary shape D.Dey and P. Shukla, Phys. Rev. B. 84, 195318, (2011).
Weak value distribution for spin 1/2 M.V. Berry, M R Dennis, B. Mcroberts and P. Shukla, J. Phys. A. Math. & Theo. 44, (2011), 20530 (8pp)
Slow manifold and Hannay angle in the spinning top M.V. Berry and P. Shukla, Eur. J Phys, 32 ( 2011), 115 (13pp).
Anderson Localisation in tight-binding models with flat bands J.T.Chalker, T.S.Pickles and P. Shukla, Phys. Rev. B 82, (2010), 104209 (5pp).
Thermodynamics of protein folding: a random matrix formulation P.Shukla, J. Phys. C: Condens Matter, 22, (2010), 415106 (8 pp).
Typical weak and superweak values M.V. Berry and P. Shukla, J. Phys. A: Math. & Theo., 43, (2010), 354024 (9pp) .
Higher-order classical adiabatic reaction forces: slow manifold for a spin model M.V. Berry and P. Shukla, J. Phys. A. Math. & Theo. 43, (2010), 045102 (27 pp).
Spacing distributions for real symmetric 2X2 generalized Gaussian ensembles M.V. Berry and P. Shukla, J. Phys. A: Math. & Theo. 42, (2009), 485102 (13pp).
Tuck’s incompressibility function: statistics for eigenvalues and zeta zeros M.V. Berry and P. Shukla, J.Phys. A Math. & Theo, 41, (2008), 304023, .
Criticality in the kicked rotor with a smooth potential R. Dutta and P. Shukla, Phys. Rev. E, 78, (2008), 031115,.
Towards a common thread in complexity: an accuracy based approach P. Shukla, J. Phys. A Math. & Theo, 41, (2008), 304023.
Complex systems with half-integer spins: symplectic ensembles R. Dutta and P. Shukla, Phys. Rev. E, 76, (2007), 051124
Eigenfunction statistics of complex systems: a single parametric formulation P. Shukla, Phys. Rev. E 75 (5), (2007), 051113(1-20).
Eigenfunction Statistics Of Complex Systems: Universality In Diversity P. Shukla, Proceedings of the third national conference on nonlinear systems and dynamics (NCNSD-2006), Chennai, India
Random matrices with correlated elements: a model for disorder with interactions P. Shukla, Phys. Rev. E, (71), (2005), 026226(1-13).
Level-statistics in disordered systems: a single parametric scaling and connection to brownian ensembles P. Shukla, J. Phys.: Condens. Matter 17, (2005) 1653-1677.
Multi channel transport in disordered medium under generic scattering conditions P. Shukla and I. Batra, Phys. Rev. B. 71, (2005) 235107(1-14).
Signatures of random matrices in physical systems P. Shukla, Physica A, 315, (2002) 53-62 
Statistical studies of complex systems: a random matrix approach P. Shukla, Physica A, 315, (2002) 45-52.
Non-hermiticity and calogero-sutherland hamiltonian P. Shukla, Phys. Rev. Lett. 87, 19, (2001) 194102-.
Eigenvalue correlations for banded matrices P. Shukla, Physica E, 9 (3) (2001) 548-553.
Eigenvalue correlations of generalized gaussian matrices P. Shukla, Physica A, 288, (2000) 119-129.
Alternative technique for "complex" spectra analysis P. Shukla, Phys. Rev. E, 62, (2000) 2098-2113.
The 1/R2 Integrable System: A Universal Hamiltonian For Complex Level Dynamics P. Shukla, Proceedings of the conference on "Disordered and Complex Systems", (King's College, London, Uk, July 10-14, 2000).
Universal level dynamics of complex systems P. Shukla, Phys. Rev. E, 59, (1999) 5205-5213.
Parametric Correlations In Quantum Chaotic Systems P. Shukla, Proceedings of PRL golden jubliee conference on nonlinear dynamics & computational physics (Physical Research Laboratory, Ahmedabad, India, Nov. 18- 22,1997).
On the distribution of zeros of "chaotic" wave-functions P. Shukla, J. Phys. A, 30, (1997) 6313-6326.
Higher order correlations in quantum chaotic spectra P. Shukla, Phys. Rev. E, 55, 4, (1997) 3886-3897.
The effect of symmetry-breaking in quantum chaotic map P. Shukla and A. Pandey, Nonlinearity, 10, (1997) 979- 1006
Universal fluctuations of zeros of chaotic wavefunctions P. Leboeuf and P. Shukla, J. Phys. A, 29, 8, (1996), 4827-4835.
Effect of symmetry-breaking on "chaotic" eigenfunctions P. Shukla, Phys. Rev. E., 53, 2, (1996), 1362-1370.
Level spacing functions and the connection problem of a fifth painleve trancendent P. Shukla, J. Phys. A., 28, (1995), 3177-3195.
Two coupled matrices: eigenvalue correlations and spacing functions, M.L. Mehta and P. Shukla, J. Phys. A., 27, (1994), 7793-7803.
Symmetry breaking in quantum chaotic systems A. Pandey, R. Ramaswamy and P. Shukla, Pramana, Indian J. Of Phys., 41, 1, 1993, L75- L81.
Eigenvalue correlations in the circular ensembles A. Pandey and P. Shukla, J. Phys. A, 24, (1991), 3907-3926.