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QuEST Group Meeting 2022
Every Thursday, 12 noon (Google Meet)
Date/Time: February 24
Presenter: Chan Kar Tim
Title: Topological characterizing and clustering of public transport networks: A review
Abstract:
In this talk, we will review part of the work of Krissada (2019) on topologically characterizing and clustering the public transport networks. (You can download her thesis with the same title)
Presenter: Ahmad Hazazi
Date: March 3rd
Title: Quantum States on Fibre Based on Blowup Technique on Complex (Hilbert) Space
Abstract:
In this talk, I will be discussing some results in my research.
Presenter: Jessica Liang
Date: March 10
Title: Cheeger’s Constant and Cheeger’s Inequalities
Abstract:
In this talk, I will explain the Cheeger’s constant, the Cheeger’s inequalities and the discrepancy. Cheeger’s constant measures the bottleneck of the network model. Cheeger’s inequalities indicate the relationship between the second smallest eigenvalue and the Cheeger’s constant. The discrepancy is the distribution of the edges.
Presenter: Hishamuddin Zainuddin
Title: A Look at Bertram’s Geometric Programme for Quantum Theory
Date/Time: March 17
Abstract:
In absence of physical-based principles, quantum theory has always appeal to mathematical structures (mainly algebraic) to build a language for the theory. Beginning with removal of special choice of origins and units, Bertram proposes a geometric formalism incorporating ideas that go way back to a paper of Jordan, von Neumann and Wigner. The talk will introduce some of its ingredients namely Jordan algebra, dualities, generalized projective structures and related ideas.
References:
1) W. Bertram, “An Essay of the Completion of Quantum Theory I: General Setting (https://arxiv.org/abs/1711.08643)
2) W. Bertram, “An Essay of the Completion of Quantum Theory II: Unitary Time Evolution” (https://arxiv.org/abs/1807.04650)
3) W. Bertram, “Is There a Jordan Geometry Underlying Quantum Physics”, Int. J. Theor. Phys. 47 (2008) 2754-2782 (https://arxiv.org/abs/0801.3069)
Presenter: Umair Abdul Halim
Date: March 24
Title: The role of chaotic and ordered trajectories in establishing Born's rule
Abstract:
We study in detail the trajectories, ordered and chaotic, of two entangled Bohmian qubits when their initial preparation satisfies (or not) Born's rule for various amounts of quantum entanglement. For any non-zero value of entanglement ordered and chaotic trajectories coexist and the proportion of ordered trajectories increases with the decrease of the entanglement. In the extreme cases of zero and maximum entanglement, we have only ordered and chaotic trajectories correspondingly. The chaotic trajectories of this model are ergodic, for any given value of entanglement, namely the limiting distribution of their points does not depend on their initial conditions. Consequently, it is the ratio between ordered and chaotic trajectories which is responsible for the dynamical establishment (or not) of Born's rule.
Reference: https://iopscience.iop.org/article/10.1088/1402-4896/abf18a/pdf
Presenter: Mohd Faudzi bin Umar
Date: April 7
Time: 12.00pm
Title: A reading on "Noncommutative Graphene"
Abstract:
In this talk, I will briefly review about the idea of Bastos et. al (2013).
Ref: C. Bastos, O. Bertolami, N. Dias, J. Prata. Noncommutative Graphene. Int.J.Mod.Phys. A28 (2013)
https://arxiv.org/abs/1207.5820
Presenter: Selvam
Date: 28th April
Abstract:
A connective review between two papers regarding representation of SU(3) and matrix exponential.
Presenter: Choong Pak Shen
Date: 3 June
Title: Fidelity of cluster states
Abstract:
In this discussion, I will introduce cluster states and a minimal way to measure the fidelity of cluster states.
Presenter: Ahmad Aqwa
Date: June 16
Title: Classical structure in Hilbert space
Abstract:
The tensor product in Hilb is not a categorical product, so it doesn't provide an automatic way to copy information. However, in the real world, certain types of information can be copied. In this talk I will prove a theorem which says that any copyable state represents a basis in the category of (finite) Hilbert spaces.
Presenter: Umaisara
Date: June 23
Title: A Quick Look on Bipartite Network (from a Lecture by Peter Sharidan Dodds)
Presenter: Ahmed Hassan
Date: 30 June
Title: On bilayer graphene electronic structure analysis using DFT
Presenter: Mohd Faudzi bin Umar
Date: 14 Julai 2022
Title: C*-algebra
Abstract: In this talk, I will share my current reading on $C^\ast$-algebra.
Presenter: Hishamuddin Zainuddin
Date: July 21
Title: Quantum Theory - Why Complex?
Abstract:
Recently, it was claimed that experimental results have shown that quantum theory has to be complex in nature. Real formulation of quantum mechanics has been given by Stueckelberg (1960) and later by Wootters et al. (2013) in the context of quantum information calculations. To show that one really needs complex numbers for quantum theory turn out to be more complicated. It was only in late 2021 that Renou et al. show that quantum theory based on real numbers. We will give an overview of these developments and if time permits, our own interest in complex projective spaces as the classical phase space (symplectic geometry) for finite-dimensional quantum mechanics.
Presenter: Umair Halim
Date: July 28
Title: From a quantum to a classical description of intense laser–atom physics with Bohmian trajectories
Abstract:
In this paper, Bohmian mechanics is applied to intense laser–atom physics. The motion of an atomic electron in an intense laser field is obtained from the Bohm–Newton equation. We find that the quantum potential that dominates the quantum effect of a physical system becomes negligible as the electron is driven far from the parent ion by the intense laser field, i.e. the behavior of the electron smoothly tends towards classical soon after the electron is ionized. Our numerical calculations present direct positive evidence for semiclassical trajectory methods in intense laser–atom physics where the motion of the ionized electron is treated by classical mechanics, while quantum mechanics is needed before the ionization.
Presenter: Chan Kar Tim
Date: Aug 18
Title: The first-principles study on the graphene/MoS2 heterojunction
Abstract:
We will review the computational work of Siyao Fu et al. 2020 on electronic and optical properties of graphene/MoS2 heterojunction.
Speaker : Tan Min Yang
Date : 25 August
Abstract :
I would like to introduce the concept of ladder operator briefly and discuss the mistakes that I did last time.
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