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Entanglement (Quantum Mechanics)
An investigation has been initiated in the area of Gaussian entanglement in non-commutative
space. It will be extended in fuzzy sphere, Snyder and k-Minlowski forms of non-commutative
spacetime.
Related papers:
• Entanglement Induced by Noncommutativity: Anisotropic Harmonic Oscillator in
Noncommutative space, Authors:Abhishek Muhuri, Debdeep Sinha, Subir Ghosh;
arXiv: 2006.16528
(S. Ghosh)
Quantum Mechanics:
Constraint dynamics: particle on a torus knot: Charges moving on specified paths with
attached magnetic flux can used to model interesting physical systems such as anions etc. We
have studied motion of a point charge constrained to move in a torus knot in the presence of a
magnetic field and its energy levels in a semi-classical analysis in presence of curvature and
torsion effects.
Related papers:
• Quantum Mechanics of Particle on a torus knot: Curvature and Torsion Effects,
Dripto Biswas,Subir Ghosh, hep-th math-ph quant-ph arXiv:1908.06423
(S. Ghosh)
Theoretical Condensed Matter Physics
Physics of Quantum Materials:
Recent years have witnessed Weyl Semimetals (WSMs), a new class of quantum material, as
a focus of research attraction due to their exotic properties. An ideal WSM has a conical
spectrum and a point-like Fermi surface at the Weyl point. An interesting situation arises when
large tilting of the Weyl cones results in a Lifshitz transition. This leads to a new class of
materials called type-II WSMs, where the Fermi surface is no longer point-like. As compared
to the conventional WSMs with n = 1, n can be generically greater than one, materials termed
as multi-Weyl semimetals, with the crystalline symmetries bounding its maximum value to
three.
The quantum states in these materials yield entirely new physics and pave the way for design
of new devices in nano-electronics and information technology. Engineering these states in
condensed matter or nanostructures by external fields has also aroused tremendous attention
during the past few years. The light matter interaction offers novel experimental and theoretical
platforms for exploring various nontrivial features of these states via photon-dressed band
structures and properties in Floquet-Bloch picture.
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