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09:30 to 10:05 |
Haruki Watanabe (University of Tokyo, Japan) |
Symmetry indicators of topological superconductors |
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10:05 to 10:40 |
Abhishodh Prakash (ICTS-TIFR, Bengaluru, India) |
Emergent symmetries in invertible phases. |
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10:40 to 11:10 |
Break |
Tea/coffee |
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11:10 to 11:45 |
David Carpentier (ENS de Lyon, France) |
Topological pumping: from the Quantized Hall Effect to circuit QED |
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11:45 to 12:20 |
Krishnendu Sengupta (Indian Association for the Cultivation of Science, India) |
Floquet engineering of quantum scars |
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12:30 to 14:00 |
Break |
Lunch |
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14:00 to 14:35 |
Vikram Tripathi (TIFR, Mumbai, India) |
Deconfinement in Heisenberg-perturbed Kitaev models: A Fock space localization perspective The two widely studied Kitaev materials, α-RuCl3 and Na2IrO3 , have magnetically ordered ground states although the dominant interparticle interactions are Kitaev like. Manipulating these Kitaev materials to access Kitaev physics is an open experimental and theoretical challenge. A point of intense current debate is whether there is any parameter regime where the many-body excitations in the ordered phase clearly resemble those of the Kitaev model (i.e. deconfined Majorana fermions and visons) and not something more mundane, such as magnons. Furthermore, there is no consensus on the parameter regime where Kitaev physics, if any, may be seen. It is not clear whether one should (a) suppress the magnetic order using, say, an external field (suggested by quantized thermal Hall effect) and look at low-energy excitations, or (b) explore excitations with energies higher than the magnetic ordering scale since the Kitaev interactions are by far the most dominant (suggested by neutron scattering data). To attack these open questions, we propose a new approach of directly comparing the many-body states of a Kitaev-Heisenberg model with pure Kitaev states as well as magnon-like excitations of a spin-density wave. We cast the problem as one of many-body localization. This approach requires evaluation of a large number of excited states, for which we have used the state-of-the-art FEAST exact diagonalization technique. Our main finding is that over a range of strengths of the Heisenberg perturbation where spin-density wave order is present, the low-lying excitations resemble Kitaev states rather than magnons. Higher energy excitations, above the magnetic ordering scale, surprisingly do not resemble Kitaev or magnon excitations. Our ability to calculate high excites states also allows us to report for the first time the evolution of the vison gap as a function of the Heisenberg perturbation, A key observation that we make is that the vison gap – a characteristic of the deconfined Kitaev spin-liquid phase - persists well into the proximate magnetically ordered phase.
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14:35 to 15:10 |
G Baskaran (IMSc, India) |
Navigating the Hilbert Space with Models In recent times, some fascinating models have helped us find fascinating corners in Hilbert spaces of quantum matter. Hilbert space is an incomprehensibly big, wild and turbulent ocean. Models help us in our voyage. After brief review of spin liquid models of Anderson, Sachdev, Ye and Kitaev, I will discuss our recent results [1] on `Kitaev clusters'. Even in a finite dimensional Hilbert space, some manifolds unique to the model emerge and guide us.
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15:10 to 16:00 |
Break |
Tea/coffee |
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16:00 to 17:00 |
Ashvin Vishwanath (Harvard University, USA) |
INFOSYS-ICTS Chandrasekhar Lectures : Topology, correlations and superconductivity in magic angle.. (Lecture 2) |
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