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Apr-2022Level statistics of quasi energy states in a driven double well quantum system: Stabilisation on top of the barrierChaos in a quantum mechanical system is of interest to many scientists. In this thesis, we attempt to broaden our knowledge of chaos in a Quantum mechanical system. Chaotic systems are extremely sensitive to initial conditions in their phase-space trajectories. The uncertainty principle forbids measuring both coordinates and moments concurrently, making it difficult to specify what a phase-space trajectory is for a quantum mechanical system. It follows that classical chaotic notions cannot be directly applied to quantum chaos. An understanding to chaos was formulated by Wigner and Dyson in 1950’s through the Random Matrix Theory (RMT). We analyse the eigen spectra of the Hamiltonian. Here, we use the floquet formalism to solve the TISE in a variety of systems with periodic driving. The periodic driving of a wave packet in a double well potential is investigated. One- dimensional double well potentials are used to simulate physical systems. Numerical simula- tions of the time-independent Schrödinger equation for a symmetric double-well potential are used to examine the spatio-temporal localization of a system in the presence of an oscillating electric field. For an initial state with identical probability densities in both wells, stable localization above the barrier is attainable on a periodic highfrequency drive. This work reviews RMT, its relationship to quantum chaos, and indicators of chaos such as the level spacing statistics and Brody’s distribution index.; Shaji, Thommen
21-Nov-2019Levi's Radical Splitting Theorem and Its ApplicationsChowdhry, Geeta
9-Nov-2018Lewis acid catalyzed synthetic approaches toward unsymmetrical diaryl- and triarylmethanesMAHESH, S
Apr-2020Lie Algebras, Enveloping Algebras and Representation TheorySury, Vidur; Khandai, Tanusree
Sep-2022Light Modulation of Properties of Arylazoisoxazole Photoswitches and their Benzene- 1,3,5- tricarboxamide (BTA) Functionalized DerivativesKumar, Pravesh
Aug-2021Light-induced Spatio-temporal Localization of Molecular Wave Packets on Saddle points of potential energy surfacesKumar, Naveen; Balanarayan, P.
Aug-2022Light-Matter interactions: Quantum memories and atom-photon gatesTeja, G.P.
Apr-2022Limits to knowledge :Viswamitra, Aishwarya
20-Nov-2019Linearizing Water Molecule Using A Linearly Polarized High Intensity High Frequency LaserTiwari, Vishal
28-Jul-2021Linearly Conjugated Molecules in High Intensity Laser FieldsChinnan, Sajan.; Balanarayan, P.
13-Jul-2017Liquid Crystal as a Sensing Platform for Detection of Structurally Different Aβ1-42 OligomersAayush
28-Nov-2018Local Class Field TheoryBinner, Damanvir Singh
Apr-2022Local Class field theory and lubin-tate theoryNarasimhan, S Sundara
May-2020Local maladaptation due to density-dependent natural selectionArasimhan, Aaditya N.; Prasad, N.G.
Dec-2022Long Term Natural Variability determined through molecular proxies based approach from freshwater lake system in lesser HimalayasShalika
28-Jul-2021Low power-focused laser irradiation induced controlled nanostructuring of MoS 2 flakes for potential optical and electronic applicationsRani, Renu; Hazra, Kiran Shankar
19-Jul-2017Low Temperature Dissipation Scenarios in Palladium Nano-mechanical ResonatorsRebari, S.; Venkatesan, A.
Aug-2021Low temperature dissipation studies in normal and superreconducting electromechanical systemsKumar, Shelender; Venkatesan, Ananth
May-2023Low-Cost Mechatronic Setup to Motorise Microscope Stage MovementDhania, Sourav
May-2023Low-temperature phases of interacting bosons in a latticeShankar, Akshay