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QuEST Group Meeting 2023
Every Thursday, 12 noon (Online via Google Meet)
Date/Time: 6 December
Presenter: Nurisya MS
Title: Quantum complexity in bosonic oscillator
Abstract: This is a study on the paper entitled “Geometric quantum complexity of bosonic oscillator systems”. We try to go through some important calculations in the literature.
Presenter: Valentine
Date/Time: 1 November
Title: A review on the group theoretic method in QEC
Presenter: Umair Halim
Date: 18 October
Title: The Role of Quantum Potential in Generating Chaotic Bohmian Trajectory.
Abstract: Particle trajectories guided by the wave function are well-defined through Bohmian mechanics, which is a causal interpretation of quantum mechanics. Periodic and chaotic behaviours could be exhibited from the certain classical integrable systems that have been shown within this framework. Recently, several studies have shown that a Bohmian trajectory approaching closely to a nodal point makes a spiral around the point and becomes chaotic. In this work, using 2-dimensional commensurate harmonic oscillators, we explore the effects of the distance between the nodal point’s region and the initial positions on the dynamical behaviour of Bohmian trajectories. The result shows the system undergoes a transition to chaos after clearly having regular behaviour. At the onset of chaos, the quantum trajectories diverge from the regular orbit and move toward the centre region of nodal points. In addition, the system with an initial position near the region only needs a short amount of time to exhibit chaos compared to a more distant one. This phenomenon may be due to the abrupt change in quantum potential i.e., the potential which is absent in classical mechanics. The connection between chaos and quantum potential is proved using numerical computation of the Lyapunov exponent together with the plotting of quantum potential.
Date: 4 October
Presenter:
Title: On density functional theory
Presenter: Amsyar
Date: September 13
Title: Transformasi secara teori keadaan koheren kepada dua keadaan baharu: keadaan dengan bukti ciri-ciri tidak-klasik dan keadaan dengan kualiti-kualiti foton-tunggal lebih baik
Presenter: Hishamuddin Zainuddin
Date: 5 September
Title: Quantum Field Series Talk
Presenter: Choong Pak Shen
Date/Time:August 29, 12pm
Title: Introduction to toric codes
Presenter: Nurisya Mohd Shah
Date:August 17
Title: On geometric quantum complexity of bosonic oscillator systems - Euler-Arnold equation
Presenter: Hishamuddin Zainuddin
Date: 22 August
Title: Action Functionals and Symmetries II
Presenter: Choong Pak Shen
Date/Time: 8 August
Title: Error syndrome and error correction
Presenter: Hishamuddin Zainuddin
Date/Time: 1 August
Title: Action Functionals and Symmetries
Presenter: Choong PS
Date: 21 July
Title: Stabilizer formalism
Abstract: A brief introduction stabilizer formalism.
Presenter: Hishamuddin Zainuddin
Date : 8 June
Title: Talk on Transit Before QFT: Quantum Many-Body Physics
Presenter: Choong PS
Date: 1 June 2023
Title: A kickstarter to quantum error correction
Abstract: A brief introduction to NISQ and some preliminary QEC.
Presenter: Hishamuddin Zainuddin
Date/Time: 25 May
Topic: Relativistic Quantum Mechanics and the Need for Quantum Field Theory
Abstract: Back to basic of relativistic QM and QFT
Presenter: Nurisya Mohd Shah
Date: 23 February
Title: On the Lax representation
Abstract : We give an overview and example of Lax representation. We will highlight on what is called a Lax pair and how it is related to the well-known Heisenberg picture. Lax pair method also known to be importance in the nonlinear differential equations which are exactly integrable.
Presenter: Choong Pak Shen
Date/Time: 9 February
Title: SLOCC classification by Cayley hyperdeterminant
Abstract: In this presentation, I will briefly outline the SLOCC classification using Cayley hyperdeterminant (until Section III A in the reference).
Reference: https://arxiv.org/abs/quant-ph/0212146v1
Presenter: Hishamuddin Zainuddin
Date: 19 January 2023
Title: Random Readings on Group Theory with Quantum Physics (Back to Basics)
Abstract: The talk will be on relationships between group theory, representation theory & spaces and quantum physics. It will touch upon the complex and ray nature of quantum states, complex projective spaces, relationships between SU(2) and SL(2) etc.
Main references:
1) William Goldman, Lecture notes on Lie groups and Lie algebras
2) David Gurarie, Symmetries and Laplacians, (Dover, 1992)
3) Anthony W. Knapp, Representation Theory of Semisimple Groups (Princeton Univ. Press, 1986)
4) J.C. Alexander, "Matrices, Eigenvalues and Complex Projective Space", Amer. Math. Monthly, Vol. 85 No. 9 (1978)727-733.
5) David Schroeren, "Symmetry Fundamentalism in Quantum Mechanics", Philos. Stud. Vol.178 (2021) 3995-4024.
Presenter: Mohd Faudzi bin Umar
Date/Time: 21 Jan, 2023
Title: Graphene on Noncommutative Quantum Mechanics in Dual Magnetic Fields
Abstract: In this talk, we explore a single-layer of carbon atom in two-dimensional honeycomb structure namely graphene with noncommutative correction in the presence of constant magnetic field. We introduce the position operators are modified by differential operator and gauge terms, which is analogous to gauge covariant derivative namely Landau and symmetric (dual) gauge choices.
Presenter: Ahmad Hazazi
Date: January 5, 2023
Title: Particle on the sphere: group-theoretic quantization in the presence of a magnetic monopole
Abstract: I will review a work done by Rodrigo Andrade e Silva and Ted Jacobson.
Here is the arxiv version: https://arxiv.org/abs/2011.04888
The paper is published in IOP : https://iopscience.iop.org/article/10.1088/1751-8121/abf961
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